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@Book{BS01book,
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@PhdThesis{Blo92,
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@Book{Bra93,
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@Book{Bra97,
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@Book{CKS00,
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@Book{CO84,
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@Book{DL88,
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@Article{DR83,
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@Book{DT93,
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@Article{EEHJ95a,
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@Book{EEHJ95b,
  author =       {Eriksson, K. and Estep, D. and Hansbo, P. and Johnson, C.},
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@Book{EEHJ96,
  author =       {Eriksson, K. and Estep, D. and Hansbo, P. and Johnson, C.},
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@Article{EJ88,
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@Article{EJ93,
  author =       {Eriksson, K. and Johnson, C.},
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@Article{EJ95II,
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  journal =      {SIAM J. Numer. Anal.},
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@Article{EJ95V,
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@Article{EM90,
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@Article{FN91,
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@Article{FN94,
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@InProceedings{FN94a,
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@Article{GA02,
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@Article{GB86a,
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@Article{GB86b,
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@TechReport{GH89,
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@Article{GH97,
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@Article{GKZB83,
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@Book{GMW81,
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@Article{GOR99,
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@Article{GP00,
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@Book{GT83,
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@Book{GV89,
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@Article{HM86c,
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  volume  = 58,
  year    = 1986,
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@Article{HM86d,
  author  = {Hughes, T. and Mallet, M.},
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@Article{HMM86,
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  year    = 1990,
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@Misc{HSL,
  key =          {HSL},
  title =        {The {H}arwell {S}ubroutine {L}ibrary},
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@Article{HSS99,
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  year =         {2000},
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  number =       {5},
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}

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  year    = 1984,
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@Book{Hac85,
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@Book{Hac89,
  author =       {Hackbusch, W.},
  title =        {Integralgleichungen},
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  address =      {Stuttgart}
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@Book{Hac93,
  author =       {Hackbusch, W.},
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  year =         1993,
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  edition =      {Second}
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@TechReport{Han92,
  author      = {Hansbo, P.},
  title       = {Space-Time Oriented Streamline Diffusion Methods for Nonlinear
                 Conservation Laws in One Dimension},
  institution = {Dept. of Math., Chalmers Univ., G{\"o}teborg},
  number      = 33,
  year        = 1992
}

@Article{Han92c,
  author  = {Hansbo, P.},
  title   = {The Characteristic Streamline Diffusion Method for
             Convection-Diffusion Problems},
  journal = {Comp. Meth. Appl. Mech. Engrg.},
  volume  = 96,
  year    = 1992,
  pages   = {239--253}
}

@Article{Han92n,
  author  = {Hansbo, P.},
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  volume  = 99,
  year    = 1992,
  pages   = {171--186}
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  pages   = {357--393}
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@Book{Hir88,
  author =       {Hirsch, C.},
  title =        {Numerical Computation of Internal and External Flows},
  publisher =    {Wiley},
  year =         {1988},
  OPTkey =       {},
  OPTvolume =    {},
  OPTnumber =    {},
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  OPTnote =      {},
  OPTannote =    {}
}

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  author =       {Jaffre, J. and Johnson, C. and Szepessy, A.},
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  pages =        {367-386}
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@Article{JNP84,
  author =       {Johnson, C. and N{\"a}vert, U. and Pitk{\"a}ranta, J.},
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  year =         1984,
  volume =       45,
  pages =        {285--312}
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@Article{JP83,
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  year =         1983,
  volume =       20,
  pages =        {951--966}
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@Article{JP86,
  author =       {Johnson, C. and Pitk{\"a}ranta, J.},
  title =        {An Analysis of the Discontinuous {G}alerkin Method for a Scalar Hyperbolic Equation},
  journal =      {Math. Comp.},
  year =         1986,
  volume =       46,
  number =       173,
  pages =        {1-26}
}

@Article{JS86,
  author  = {Johnson, C. and Saranen, J.},
  title   = {Streamline Diffusion Methods for the Incompressible {E}uler and
             {N}avier-{S}tokes Equations},
  journal = {Math. Comp.},
  volume  = 47,
  year    = 1986,
  pages   = {1--18}
}

@Article{JS87,
  author  = {Johnson, C. and Szepessy, A.},
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             Hyperbolic Conservation Law},
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  volume  = 49,
  year    = 1987,
  pages   = {427--444}
}


@article{JS92,
  author =       {Johnson, C. and Szepessy, A.},
  title = {Adaptive finite element methods for conservation laws based on a posteriori error estimates},
  journal = {Communications on Pure and Applied Mathematics},
  volume = {48},
  number = {3},
  pages = {199-234},
  doi = {10.1002/cpa.3160480302},
  url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/cpa.3160480302},
  eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.3160480302},
  abstract = {Abstract We prove a posteriori error estimates for a finite element method for systems of strictly hyperbolic conservation laws in one space dimension, and design corresponding adaptive methods. The proof of the a posteriori error estimates is based on a strong stability estimate for an associated dual problem, together with the Galerkin orthogonality of the finite-element method. The strong stability estimate uses the entropy condition for the system in an essential way.},
  year = {1995}
}


@Article{JSH90,
  author  = {Johnson, C. and Szepessy, A. and Hansbo, P.},
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  year    = 1990,
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@Article{Joh76,
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@Book{Joh87,
  author =       {Johnson, C.},
  title =        {Numerical Solutions of Partial Differential
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  year =         1987
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@Article{Joh90c,
  author  = {Johnson, C.},
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  year    = 1990,
  pages   = {301--322}
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@TechReport{Joh90f,
  author      = {Johnson, C.},
  title       = {A New Approach to Algorithms for Convection Problems which are
                 Based on Exact Transport + Projection},
  institution = {Dept. of Math., Chalmers Univ., G{\"o}teborg},
  number      = {1990--24},
  year        = 1990
}

@Article{Joh90p,
  author  = {Johnson, C.},
  title   = {The Streamline Diffusion Finite Element Method for Compressible and
             Incompressible Fluid Flow},
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  volume  = 228,
  year    = 1990,
  pages   = {155--181}
}

@Article{Joh91,
  author  = {Johnson, C.},
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  year    = 1991,
  pages   = {229--242}
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@Book{Joh93,
  author =       {Johnson, C.},
  title =        {Finite Element Methods for Partial Differential Equations},
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@Book{johnson:1993:pdes,
  author =       {Johnson, C.},
  title =        {Finite Element Methods for Partial Differential Equations},
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  year =         1993
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@Article{KGZB83,
  author =       {Kelly, D. W. and de S. R. Gago, J. P. and Zienkiewicz, O. C.
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  year =         {1983},
  volume =       {19},
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@Article{KK04,
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@Book{Kro97,
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@Book{Kyt96,
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@InProceedings{LB00,
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@Article{LL83,
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@Book{LM72,
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@TechReport{LY88,
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  year        = 1988
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@Book{Lev92,
  author =       {LeVeque, R.},
  title =        {Numerical Methods for Conservation Laws},
  publisher =    {Birkh{\"a}user},
  year =         {1992},
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  OPTkey =       {},
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  OPTedition =   {},
  OPTmonth =     {},
  OPTnote =      {},
  OPTannote =    {}
}



@Article{Luc86,
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@InCollection{MM01,
  author =       {Matthies, H. G. and Meyer, M.},
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  booktitle =    {Trends in computational structural mechanics},
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@Article{MM81,
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  year    = 1981,
  pages   = {1019--1032}
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@TechReport{MPR94,
  author      = {M{\"u}ller, S. and Prohl, A. and Rannacher, R.},
  title       = {Implicit Time-Discretization of the Nonstationary
                 Incompressible {N}avier-{S}tokes Equations},
  institution = {IWR (SFB 359), Univ. Heidelberg},
  number      = {94--34},
  year        = 1994
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@Article{MPS88,
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  year    = 1988,
  pages   = {625--653}
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@Article{MS87,
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  year    = 1987,
  pages   = {203--230}
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@Manual{Metis,
  title =        {METIS: A Family of Multilevel Partitioning Algorithms},
  key =          {metis},
  address =      {Homepage at {http://www-users.cs.umn.edu/~karypis/metis/}}
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@Article{Mil81,
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  pages   = {1033--1057}
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@InProceedings{Mit96,
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  year    = 1985,
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@Misc{OP99,
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@Article{PAS95,
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}

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}


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@Inbook{SH02,
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  title ={Adaptive Finite Element Approximation of Hyperbolic Problems},
  bookTitle={Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics},
  year={2003},
  publisher={Springer Berlin Heidelberg},
  address={Berlin, Heidelberg},
  pages={269--344},
  abstract={We review some recent developments concerning the a posteriori error analysis of h--- and hp---version finite element approximations to hyperbolic problems. The error bounds stem from an error representation formula which equates the error in an output functional of interest to the inner product of the finite element residual with the solution of a dual (adjoint) problem whose data is the density function of the target functional. Type I a posteriori error bounds are derived which, unlike the cruder Type II bounds, retain the dual solution in the bound as a local weight-function. The relevance of Type I a posteriori bounds is argued by showing that the local size of the error in a hyperbolic problem may be only very weakly correlated to the local size of the residual; consequently, adaptive refinement algorithms based on the size of the local residual alone can be ineffective. The sharpness of Type I a posteriori error bounds is demonstrated on both structured and adaptively refined meshes.},
  isbn={978-3-662-05189-4},
  doi={10.1007/978-3-662-05189-4_6},
  url={https://doi.org/10.1007/978-3-662-05189-4_6}
}


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@Book{Sch98b,
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@TechReport{Sul95,
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  title =        {A posteriori error analysis and global error control
                  for adaptive finite element approximations of
                  hyperbolic problems},
  institution =  {University of Oxford},
  year =         1995,
  month =        jun
}



@InCollection{Sul98,
  author =       {S{\"u}li, E.},
  title =        {A posteriori error analysis and adaptivity for finite element
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  booktitle =    {An introduction to recent developments in theory and numerics
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@PhdThesis{Ulb01,
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@Book{Ver96,
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@PhdThesis{Yot96,
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@Misc{petsc,
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}

@String{IWR = {IWR, Universit{\"a}t Heidelberg}}
@String{SFB = {SFB~359, Universit{\"a}t Heidelberg}}
@String{IAM = {Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t Heidelberg}}
@String{UMSI = {University of Minnesota Supercomputing Institute}}
@String{IMA = {Institute for Mathematics and its Applications, Minneapolis}}
@String{EastWest = {East-West J. Numer. Math.}}
@String{LNCSE = {Lecture Notes in Computational Science and Engineering}}


@Article{ABC05,
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@InProceedings{BBR98,
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  pages =        {206--213},
  year =         1999
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@InProceedings{BBR98a,
  author =       {Becker, R. and Braack, M. and Rannacher, R.},
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  year =         1998,
  editor =       {Bock, H. G. et al.},
  publisher =    {World Scientific Publ., Singapure}
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@Article{BBR99a,
  author =       {Becker, R. and Braack, M. and Rannacher, R.},
  title =        {Numerical simulation of laminar
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  journal =      {Combust. Theory Modelling},
  year =         {1999},
  volume =       {3},
  pages =        {503--534}
}


@InProceedings{BBR99b,
  author =       {Becker, R. and Braack, M. and Rannacher, R.},
  title =        {Adaptive finite element methods for
        flow problems},
  booktitle =    {Proc. FoCM'99, Oxford, July 18-27},
  OPTcrossref =  {},
  OPTkey =       {},
  OPTpages =     {},
  year =         {1999},
  editor =       {A. Iserles},
  OPTvolume =    {},
  OPTnumber =    {},
  OPTseries =    {},
  OPTaddress =   {},
  OPTmonth =     {},
  OPTorganization = {},
  OPTpublisher = {},
  OPTnote =      {},
  OPTannote =    {}
}

@Article{BBRW99b,
  author =       {Becker, R. and Braack, M. and Rannacher, R. and Waguet, C.},
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        solution of the {N}avier-{S}tokes equations including chemistry},
  journal =      {Comput. Visual. Sci.},
  year =         {1999},
  volume =       {2},
  pages =        {107--122}
}



@Article{BGH04,
  author =       {Bangerth, W. and Grote, M. and Hohenegger, C.},
  title =        {Finite Element Method For Time Dependent Scattering:
                  Nonreflecting Boundary Condition, Adaptivity, and
                  Energy Decay},
  journal =      {Comp. Meth. Appl. Mech. Engrg.},
  year =         {2004},
  volume =       {193},
  pages =        {2453--2482}
}

@TechReport{BHK06,
  author =       {Bangerth, W. and Hartmann, R. and Kanschat, G.},
  title =        {{deal.II} -- a General Purpose Object Oriented Finite Element Library},
  institution =  {Institute for Scientific Computation, Texas A\&M University},
  year =         2006,
  number =       {ISC-06-02-MATH}
}


@Article{bangerth:etal:2007,
  author =       {Bangerth, W. and Hartmann, R. and Kanschat, G.},
  title =        {{deal.II} -- a General Purpose Object Oriented Finite Element Library},
  journal =      {ACM Trans. Math. Softw.},
  year =         2007,
  volume =       33,
  number =       4,
  pages =        {24}
}



@Article{BJ08,
  author =       {Bangerth, W. and Joshi, A.},
  title =        {Adaptive finite element methods for the solution of
                  inverse problems in optical tomography},
  journal =      {Inverse Problems},
  year =         2008,
  volume =       24,
  pages =        {034011/1--22}}



@Article{BJR95,
  author =       {Becker, R. and Johnson, C. and Rannacher, R.},
  title =        {Adaptive error control for multigrid finite element methods},
  journal =      {Computing},
  year =         1995,
  volume =       55,
  pages =        {271-288}
}


@Article{BJS05,
  author =       {Bangerth, W. and Joshi, A. and Sevick-Muraca, E. M.},
  title =        {Adaptive finite element methods for increased
               resolution in fluorescence optical tomography},
  journal =      {Progr. Biomed. Optics Imag.},
  year =         2005,
  volume =       6,
  pages =        {318--329}
}


@InProceedings{BJS07b,
  author =       {Bangerth, W. and Joshi, A. and Sevick-Muraca, E. M.},
  title =        {Inverse biomedical imaging using separately adapted meshes
                  for parameters and forward model variables},
  booktitle =    {Proceedings of the IEEE International Symposium on
                  Biomedical Imaging, Arlington, VA, 2007},
  pages =        {1368--1371},
  year =         2007,
  publisher =    {IEEE}
}

@Manual{bangerth:etal:2012,
  title =        {{deal.{I}{I}} Differential Equations Analysis Library,
                  Technical Reference},
  author =       {Bangerth, W. and Heister, T. and Kanschat, G.},
  year =         {2012},
  note =         {{http://www.dealii.org/}}
}


@Manual{deal.ii-publications,
  author =       {Bangerth W. and Kanschat, G.},
  title =        {Publications based on the {deal.{I}{I}} library},
  note = {{http://www.dealii.org/developer/publications/toc.html}}
}


@TechReport{BK99tr,
  author =       {Bangerth, W. and Kanschat, G.},
  title =        {Concepts for Object-Oriented Finite Element Software -- the
                  {deal.II} library},
  institution =  {IWR Heidelberg},
  year =         1999,
  type =         {{P}reprint 99-43 ({SFB} 359)},
  month =        oct
}


@Article{BKMPW05,
  author =       {Bangerth, W. and Klie, H. and Matossian, V.
                  and Parashar, M. and Wheeler, M.},
  title =        {An Autonomic Reservoir Framework for the Stochastic
                  Optimization of Well Placement},
  journal =      {Cluster Computing},
  year =         2005,
  volume =       8,
  pages =        {255--269}
}

@Article{BKR00,
  author =       {Becker, R. and Kapp, H. and Rannacher, R.},
  title =        {Adaptive Finite Element Methods for Optimal Control
                  of Partial Differential Equations: {B}asic Concept},
  journal =      {SIAM J. Contr. Optim.},
  year =         2000,
  volume =       39,
  pages =        {113--132}
}





@TechReport{BKS96,
  author =       {Becker, R. and Kanschat, G. and Suttmeier, F.-T.},
  title =        {Optimality Criteria for Adaptive Finite Element
                  Meshes},
  institution =  IWR,
  year =         1996,
  note =         {to appear},
  nolist =       1
}



@Article{BKWSS06,
  author =       {Bangerth, W. and Klie, H. and Wheeler, M. F. and
                  Stoffa, P. and Sen, M.},
  title =        {On optimization algorithms for the reservoir oil
                  well placement problem},
  journal =      {Comp. Geosciences},
  year =         2006,
  volume =       {10},
  pages =        {303--319}
}

@article{BR01,
  author =       {Becker, R. and Rannacher, R.},
  title =        {An optimal control approach to error estimation and mesh adaptation
in finite element methods},
  journal =      {Acta Numerica},
  year =         2001,
  volume =       10,
  pages =        {1-102}
}


@Article{BR01a,
  author =       {Bangerth, W. and Rannacher, R.},
  title =        {Adaptive Finite Element Techniques for the Acoustic Wave Equation},
  journal =      {J. Comput. Acoustics},
  year =         2001,
  volume =       9,
  number =       2,
  pages =        {575--591}
}



@Book{BR03,
  author =       {Bangerth, W. and Rannacher, R.},
  title =        {Adaptive Finite Element Methods for
                  Differential Equations},
  publisher =    {Birkh{\"a}user Verlag},
  year =         2003
}



@InProceedings{BR95,
  author =       {Becker, R. and Rannacher, R.},
  title =        {Weighted A Posteriori Error Control in {FE} Methods},
  booktitle =    {ENUMATH 95},
  pages =        {621--637},
  year =         1998,
  editor =       {Bock, H. G., et al.},
  address =      {Paris},
  month =        sep,
  publisher = {World Scientific Publ., Singapure},
  note =         {in \cite{enumath97}}
}



@InProceedings{BR95short,
  author =       {Becker, R. and Rannacher, R.},
  title =        {Weighted A Posteriori Error Control in {FE} Methods},
  booktitle =    {Proc. of ENUMATH 95, in Proc. of ENUMATH 97},
  year =         1998,
  editor =       {Bock, H. G. and others},
  address =      {Singapore},
  publisher =    {World Scientific},
}

@TechReport{BR96k,
  author =       {B{\"o}ttcher, K. and Rannacher, R.},
  title =        {Adaptive error control in solving ordinary
                  differential equations by the discontinuous {G}alerkin
                  method},
  institution =  sfb,
  year =         {1996},
  OPTkey =       {},
  type =         {Preprint},
  OPTnumber =    {},
  OPTaddress =   {},
  OPTmonth =     {},
  OPTnote =      {},
  OPTannote =    {}
}



@Article{BR96r,
  author =       {Becker, R. and Rannacher, R.},
  title =        {A Feed-Back Approach to Error Control in Finite
                  Element Methods: {B}asic Analysis and Examples},
  journal =      EastWest,
  year =         1996,
  volume =       4,
  pages =        {237--264}
}




@InProceedings{BR98,
  author =       {Becker, R. and Rannacher, R.},
  title =        {A General Concept of Adaptivity in Finite Element
                  Methods with Applications to Problems in Fluid and
                  Structural Mechanics},
  booktitle =    {Grid Generation and Adaptive Algorithms},
  year =         1999,
  editor =       {Bern, M. and Flaherty, J. E. and Luskin, M.},
  volume =       113,
  series =       {IMA Volumes in Mathematics and its Applications},
  publisher =    {Springer}
}

@Article{BR99b,
  author =       {Bangerth, W. and Rannacher, R.},
  title =        {Finite element approximation of the acoustic wave equation: {E}rror
                  control and mesh adaptation},
  journal =      {East--West J. Numer. Math.},
  year =         1999,
  volume =       7,
  number =       4,
  pages =        {263--282}
}


@InProceedings{BR99c,
  author =       {Braack, M. and Rannacher, R.},
  title =        {Adaptive finite element methods for
        low-{M}ach-number flows with chemical reactions},
  booktitle =    {30th Computational Fluid Dynamics},
  year =         1999,
  editor =       {Deconinck, H.},
  volume =       3,
  series =       {Lecture Series},
  publisher = {von Karman Institute of Fluid Dynamics, Brussels}
}


@Article{BS00,
  author =       {Blum, H. and Suttmeier, F.-T.},
  title =        {Weighted Error Estimates for Finite Element Solutions
                  of Variational Inequalities},
  journal =      {Computing},
  year =         2000,
  volume =       65,
  pages =        {119--134}
}


@Misc{BV02,
  author =       {Becker, R. and Vexler, B.},
  title =        {Mesh adaptation for parameter identification problems},
  howpublished = {Proceedings of ENUMATH 2001},
  year =         2002,
  note =         {submitted}
}


@Article{BV03,
  author =       {Becker, R. and Vexler, B.},
  title =        {A posteriori error estimation for finite element
                  discretization of parameter identification problems},
  journal =      {Numer. Math.},
  year =         2003,
  volume =       96,
  pages =        {435--459}
}

@MastersThesis{Bac97,
  author =       {Backes, E.},
  title =        {{G}ewichtete a posteriori {F}ehleranalyse bei der adaptiven
                  {F}inite-{E}lemente-{M}ethode: Ein {V}ergleich zwischen {R}esiduen- und
                  {B}ank-{W}eiser-{S}ch{\"a}tzer},
  school =       {Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t Heidelberg},
  year =         1997,
  type =         {Diplomarbeit}
}

@InProceedings{Ban00i,
  author =       {Bangerth, W.},
  title =        {Using Modern Features of {C}++ for Adaptive Finite Element Methods:
                  {D}imension-Independent Programming in deal.{I}{I}},
  booktitle =    {Proceedings of the 16th IMACS World Congress 2000, Lausanne,
                  Switzerland, 2000},
  year =         2000,
  editor =       {Deville, M. and Owens, R.},
  note =         {{D}ocument Sessions/118-1}
}

@TechReport{Ban00mt,
  author =       {Bangerth, W.},
  title =        {Multi-threading support in {deal.II}},
  institution =  SFB,
  year =         2000,
  type =         {{P}reprint},
  number =       {2000-11},
  month =        apr
}

@InProceedings{Ban00w,
  author =       {Bangerth, W.},
  title =        {Mesh Adaptivity and Error Control for a Finite Element
                  Approximation of the Elastic Wave
                  Equation},
  booktitle =    {Proceedings of the Fifth International Conference on Mathematical
                  and Numerical Aspects of Wave Propagation (Waves2000), Santiago
                  de Compostela, Spain, 2000},
  pages =        {725--729},
  year =         2000,
  editor =       {Berm\'udez, A. and G\'omez, D. and Hazard, C. and
                  Joly, P. and Roberts, J. E.},
  publisher =    {SIAM}
}

@PhdThesis{Ban02,
  author =       {Bangerth, W.},
  title =        {Adaptive Finite Element Methods for the Identification
                  of Distributed Parameters in Partial Differential
                  Equations},
  school =       {University of Heidelberg},
  year =         2002
}

@Article{Ban03cuj,
  author =       {Bangerth, W.},
  title =        {Starting threads in a {C}++ compatible fashion},
  journal =      {C/C++ Users Journal},
  year =         2003,
  month =        Oct,
  pages =        {21--24}
}


@TechReport{Ban03ip1,
  author =       {Bangerth, W.},
  title =        {A framework for the adaptive finite element solution of
                  large inverse problems. {I}. {B}asic techniques},
  institution =  {Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin},
  year =         2004,
  number =       {2004-39}
}


@TechReport{Ban04,
  author =       {Bangerth, W.},
  title =        {A framework for the adaptive finite element solution of
                  large inverse problems. I. Basic techniques},
  institution =  {Institute for Computational Engineering and Sciences, The
                  University of Texas at Austin},
  year =         2004,
  number =       {2004-39}
}




@Article{Ban08ip,
  author =       {Bangerth, W.},
  title =        {A framework for the adaptive finite element solution of
                  large inverse problems},
  journal =      {SIAM J. Sc. Comput.},
  year =         2008,
  volume =       30,
  pages =        {2965--2989}
}



@MastersThesis{Ban98,
  author =       {Bangerth, W.},
  title =        {{A}daptive {F}inite-{E}lemente-{M}ethoden zur {L}{\"o}sung der
                  {W}ellengleichung mit {A}nwendung in der {P}hysik der {S}onne},
  school =       {Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t Heidelberg},
  year =         1998,
  type =         {Diplomarbeit}
}


@Misc{Bec01,
  author =       {Becker, R.},
  title =        {Adaptive finite elements for optimal control problems},
  howpublished = {Habilitation thesis, University of Heidelberg},
  year =         2001
}


@PhdThesis{Bec95,
  author =       {Becker, R.},
  title =        {An Adaptive Finite Element Method for the
                  Incompressible {N}avier-{S}tokes Equations on
                  Time-dependent Domains},
  school =       {Universit{\"a}t Heidelberg},
  year =         1995,
  type =         {Dissertation}
}


@TechReport{Bec98,
  author =       {Becker, R.},
  title =        {Weighted error estimators for finite element approximations of the
        incompressible {N}avier-{S}tokes equations},
  institution =  {SFB 359, Universit{\"a}t Heidelberg},
  year =         1998,
  type =         {Preprint},
  number =       {98-20}
}



@Article{Bel05,
  author =       {Bell, W.},
  title =        {Good prospects},
  journal =      {Access, the quarterly journal of NCSA},
  year =         2005,
  volume =       18,
  number =       1,
  pages =        {1--4},
  note = {\\This article also appeared in the \textit{GRIDSTART
               Business Newsletter}, March 2005, pp. 6-8, as well
               as \textit{GRID
               today}, edition of March 28, 2005.}
}



@InCollection{Boc81,
  author =       {Bock, H. G.},
  title =        {Numerical treatment of inverse problems in chemical reaction kinetics},
  booktitle =    {Modelling of Chemical Reaction Systems},
  publisher =    {Springer},
  year =         {1981},
  editor =       {Ebert, K. H. and Deufl\-hard, P. and J{\"a}ger, W.},
  volume =       {18},
  series =       {Springer Series in Chemical Physics},
  address =      {Heidelberg}
}

@Book{Boc87,
  author =       {Bock, H. G.},
  title  =       {Randwertproblemmethoden zur Parameteridentifizierung in
                  Systemen nichtlinearer Differentialgleichungen},
  publisher =    {University of Bonn},
  year =         {1987},
  volume =       {183},
  address=       {Bonn},
  series =       {Bonner Ma\-the\-ma\-tische Schriften}
}



@PhdThesis{Bra98,
  author =       {Braack, M.},
  title =        {An Adaptive Finite Element Method for Reactive Flow Problems},
  school =       {Universit{\"a}t Heidelberg},
  year =         1998,
  type =         {Dissertation}
}


@Article{CBWKACB04,
  author =       {Carey, G. F. and Barth, W. and Woods, J. A.
                  and Kirk, B. and Anderson, M. L. and Chow, S.
                  and Bangerth, W.},
  title =        {Modeling error and constitutive relations in simulation
                  of flow and transport},
  journal =      {International Journal for Numerical Methods in Fluids},
  year =         2004,
  volume =       46,
  pages =        {1211--1236}
}


@Article{CKPS01,
  author =       {Cockburn, B. and Kanschat, G. and Perugia, I. and
                  Sch{\"o}tzau, D.},
  title =        {Superconvergence of the Local Discontinuous {G}alerkin
                  Method for Elliptic Problems on Cartesian Grids},
  journal =      {SIAM J. Numer. Anal.},
  year =         2001,
  volume =       39,
  number =       1,
  pages =        {264--285}
}


@article{CKSS,
  author =       {Cockburn, B. and Kanschat, G. and Sch{\"o}tzau, D. and Schwab, C.},
  title =        {Local discontinuous {G}alerkin methods for the {S}tokes
                    system},
  journal = {SIAM Journal on Numerical Analysis},
  volume = {40},
  number = {1},
  pages = {319-343},
  year = {2002},
  doi = {10.1137/S0036142900380121},
  URL = { https://doi.org/10.1137/S0036142900380121},
  eprint = { https://doi.org/10.1137/S0036142900380121}
}



@Inbook{DBS01,
  author =       {Diehl, M. and Bock, H. G. and Schl{\"o}der, J. P.},
  editor={Di Pillo, G. and Murli, A.},
  title={Newton-Type Methods for the Approximate Solution of Nonlinear Programming Problems in Real-Time},
  bookTitle={High Performance Algorithms and Software for Nonlinear Optimization},
  year={2003},
  publisher={Springer US},
  address={Boston, MA},
  pages={177--200},
  abstract={An efficient numerical method for the real-time solution of optimal control problems in optimal feedback control is presented, which is based on the direct multiple shooting method, and the contractivity of this real-time iteration scheme is proven.},
  isbn={978-1-4613-0241-4},
  doi={10.1007/978-1-4613-0241-4_8},
  url={https://doi.org/10.1007/978-1-4613-0241-4_8}
}


@Manual{DEAL,
  title =        {{deal.II} Homepage},
  author =       {Bangerth, W. and Kanschat, G.},
  address =      {{{http://gaia.iwr.uni-heidelberg.de/\~{}deal/}}}
}




@PhdThesis{Die01,
  author =       {Dieses, A.},
  title =        {Numerical Methods for Optimization Problems in Water Flow and Reactive Solute Transport Processes of Xenobiotics in Soils},
  school =  {University of Heidelberg},
  year =         2001,
  number =       {SFB Preprint 2001-07},
  note =         {Ph.D. Thesis},
  url =         {http://www.ub.uni-heidelberg.de/archiv/1431},
  doi =         {https://doi.org/10.11588/heidok.00001431}
}



@Article{FK97,
  author =       {F{\"u}hrer, C. and Kanschat, G.},
  title =        {A Posteriori Error Control in Radiative Transfer},
  journal =      {Computing},
  year =         {1997},
  volume =       {58},
  number =       {4},
  pages =        {317--334}
}


@Article{FR96,
  author =       {F{\"u}hrer, C. and Rannacher, R.},
  title =        {Error Analysis for the Finite Element Approximation
                  of a Radiative Transfer Model},
  journal =      {M$^2$AN},
  year =         {1996},
  key =          {FR94},
  volume =       {30},
  number =       {6},
  pages =        {743--761}
}


@Article{FR97,
  author =       {F{\"u}hrer, C. and Rannacher, R.},
  title =        {An adaptive streamline--diffusion finite element method for hyperbolic
        conservation laws},
  journal =      EastWest,
  year =         1997,
  volume =       5,
  number =       3,
  pages =        {145--162}
}


@MastersThesis{Fuh93,
  author =       {F{\"u}hrer, C.},
  title =        {{F}inite--{E}lemente--{D}is\-kre\-ti\-sie\-run\-gen
                  der {2D}--{S}trah\-lungs\-trans\-port\-gleich\-ung},
  school =       {Universit{\"a}t Heidelberg},
  year =         1993,
  type =         {Diplomarbeit}
}




@PhdThesis{Fuh97,
  author =       {F{\"u}hrer, C.},
  title =        {Adaptive Error Control for Hyperbolic Problems},
  school =       IAM,
  year =         1997,
  type =         {Dissertation}
}

@Article{GK,
  author =       {Gopalakrishnan, J. and Kanschat, G.},
  title =        {A Multilevel Discontinuous {G}alerkin Method},
  journal =      {Numer. Math},
  year =         {2003},
  volume =       95,
  pages =        {527-550},
  url =   {https://doi.org/10.1007/s002110200392}
}

@Article{hartmann:houston:2002:conservation-laws,
  author =       {Hartmann, R. and Houston, P.},
  title =        {Adaptive Discontinuous {G}alerkin Finite Element Methods
                  for Nonlinear Hyperbolic Conservation Laws},
  journal =      {SIAM J. Sci. Comput.},
  year =         2002,
  volume =       24,
  pages =        {979--1004}
}

@InProceedings{houston:hartmann:2001,
  author =       {Houston, P. and Hartmann, R.},
  title =        {Goal--Oriented A Posteriori Error Estimation for Compressible Fluid Flows},
  booktitle =    {Proceedings of ENUMATH 2001},
  note =         {Submitted},
  year =         2001
}

@Article{hartmann:houston:2002:compressible-euler,
  author =       {Hartmann, R. and Houston, P.},
  title =        {Adaptive Discontinuous {G}alerkin Finite Element Methods for the Compressible {E}uler Equations},
  journal =      {J. Comput. Phys.},
  year =         2002,
  volume =       183,
  pages =        {508--532}
}

@InProceedings{HH02a,
  author =       {Hartmann, R. and Houston, P.},
  editor={Hou, T. Y. and Tadmor, E.},
  title={Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals},
  booktitle={Hyperbolic Problems: Theory, Numerics, Applications},
  year={2003},
  publisher={Springer Berlin Heidelberg},
  address={Berlin, Heidelberg},
  pages={579--588},
  abstract={In many applications the quantities of interest are a series of target functionals of the solution to the governing system of partial differential equations rather than the solution itself. For example, in the field of aerodynamics, examples include the drag and lift coefficients of an airfoil immersed into a fluid, the pressure difference between the leading and trailing edges of the airfoil and point evaluations of the density or pressure on the profile of the airfoil. While traditionally these quantities are measured in wind tunnel experiments, nowadays these experiments are increasingly replaced by numerical simulations aiming to predict these quantities to a high level of accuracy.},
  isbn={978-3-642-55711-8}
}


@Misc{HH02b,
  author =       {Hartmann, R. and Houston, P.},
  title =        {A posteriori error estimation for nonlinear hyperbolic conservation
laws involving discontinuous solutions},
  note =         {In preparation}
}

@Article{HH06,
  author =       {Hartmann, R. and Houston, P.},
  title =        {Symmetric Interior Penalty {DG} Methods for the Compressible {N}avier-{S}tokes Equations {II}: Goal-Oriented A Posteriori Error Estimation},
  journal =      {Int. J. Numer. Anal. Model.},
  year =         2006,
  volume =       3,
  pages =        {141--162}
}

@InProceedings{HHS01,
  author =       {Houston, P. and Hartmann, R. and S{\"u}li, A.},
  title =        {Adaptive Discontinuous {G}alerkin Finite Element Methods for compressible Fluid Flows.},
  booktitle =    {Numerical methods for Fluid Dynamics VII, ICFD},
  pages =        {347--353},
  year =         2001,
  editor =       {Baines, M.}
}

@Article{HPJRBS06,
  author =       {Hwang, K. and Pan, T. and Joshi, A. and
                  Rasmussen, J. C. and Bangerth, W. and Sevick-Muraca, E. M.},
  title =        {Influence of excitation light rejection on
              forward model mismatch in optical
              tomography},
  journal =      {Phys. Med. Biol.},
  year =         2006,
  volume =       51,
  number =       22,
  pages =        {5889--5902}
}

@Article{HR00a,
  author =       {Hujeirat, A. and Rannacher, R.},
  title =        {Towards implicit methods in computational astrophysics},
  journal =      {New Astronomy Review},
  year =         {2000},
  OPTvolume =    {},
  OPTnumber =    {},
  OPTpages =     {},
  OPTmonth =     {},
  note =         {to appear},
  OPTannote =    {}
}


@Inbook{HR00b,
  author=   {Rannacher, Rolf and Heuveline, Vincent},
  editor=   {J{\"a}ger, Willi and Krebs, Hans-Joachim},
  title =    {A Numerical Tool for Flow Simulation in a Wankel Motor},
  bookTitle= {Mathematics --- Key Technology for the Future: Joint Projects between Universities and Industry},
  year=     {2003},
  publisher=  {Springer Berlin Heidelberg},
  address=  {Berlin, Heidelberg},
  pages= {33--42},
  abstract= {We describe the main steps in the development of a new numerical tool for simulating gas flow and heat transfer in a rotary engine (``Wankel motor''). Our approach comprises a 2D/3D grid generator for the Wankel motor geometry, an implicit finite element discretization for coping with the stiff pressure-velocity coupling and robust multigrid solvers on strongly distorded meshes. These components are implemented within a new FE-software package named Hi-Flow++ which is presently under development.},
  isbn= {978-3-642-55753-8},
  doi=  {10.1007/978-3-642-55753-8_3},
  url=  {https://doi.org/10.1007/978-3-642-55753-8_3}
}


@Article{HR82,
  author =       {Heywood, J. G. and Rannacher, R.},
  title =        {Finite Element Approximation of the Nonstationary {N}avier-{S}tokes
                  Problem. {I}. {R}egularity of Solutions and Second-Order Error
                  Estimates for Spatial Discretization},
  journal =      {SIAM J. Numer. Anal.},
  year =         {1982},
  volume =       {19},
  pages =        {275--311}
}

@Article{HR98,
  author =       {Hujeirat, A. and Rannacher, R.},
  title =        {A Method for Computing Compressible, Highly
                  Stratified Flows in Astrophysics Based on Operator
                  Splitting},
  journal =      {Int. J. Num. Meth. Fluids},
  year =         1998,
  volume =       28,
  pages =        {1--22}
}


@Article{HR99,
  author =       {Hebeker, F. -K. and Rannacher, R.},
  title =        {An adaptive finite element method for unsteady convection--dominated flows
        with stiff source terms},
  journal =      {SIAM J. Sci. Comp.},
  year =         {1999},
  volume =       {21},
  pages =        {799--818},
}

@Misc{HRS98,
  author =       {Houston, P. and Rannacher, R. and S{\"u}li, E.},
  title =        {Adaptive finite
        element methods for stationary conservation laws},
  OPThowpublished = {},
  OPTmonth =     {},
  year =         {1998},
  note =         {Preprint in prep.},
  OPTannote =    {}
}


@Article{HRS99,
  author =       {Houston, P. and Rannacher, R. and S{\"u}li, E.},
  title =        {A posteriori error analysis for stabilised finite
                  element approximations of transport problems},
  journal =      {Comput. Meth. Appl. Mech. Engrg.},
  year =         {2000},
  volume =       {190},
  number =       {11-12},
  pages =        {1483-1508},
}


@Article{HRT96,
  author =       {Heywood, J. and Rannacher, R. and Turek, S.},
  title =        {Artificial boundaries and Flux and Pressure
                  Conditions for the Incompressible {N}avier-{S}tokes
                  equations},
  journal =      {Int. J. Comp. Fl. Mech.},
  year =         1996,
  volume =       22,
  pages =        {325--352}
}


@InProceedings{Har00a,
  author =       {Hartmann, R.},
  title =        {Adaptive {FE} {M}ethods for {C}onservation {E}quations},
  booktitle =    {Hyperbolic Problems: theory, numerics, applications: eighth international conference in {M}agdeburg, February, March 2000},
  year =         2001,
  editor =       {Freist{\"u}hler, H. and Warnecke, G.},
  volume =       2,
  series =       {International series of numerical mathematics; Vol. 141},
  publisher =    {Birkh{\"a}user, Basel},
  pages =        {495--503}
}

@TechReport{Har00b,
  author =       {Hartmann, R.},
  title =        {A comparison of adaptive {SDFEM} and {DG}(r) method for linear
  transport problems.},
  institution =  {Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t
  Heidelberg},
  year =         2000,
  note =         {In preparation}
}

@PhdThesis{Har02,
  author =       {Hartmann, R.},
  title =        {Adaptive Finite Element Methods for the Compressible {E}uler Equations},
  school =       {University of Heidelberg},
  year =         2002
}

@Article{Har06,
  author =       {Hartmann, R.},
  title =        {Adaptive discontinuous {G}alerkin methods with shock-capturing for the compressible {N}avier-{S}tokes equations},
  journal = {International Journal for Numerical Methods in Fluids},
  volume = {51},
  number = {9-10},
  pages = {1131-1156},
  keywords = {finite element methods, discontinuous Galerkin methods, compressible Navier-Stokes equations, shock-capturing},
  doi = {10.1002/fld.1134},
  url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/fld.1134},
  eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/fld.1134},
  abstract = {Abstract We present the Interior Penalty discontinuous Galerkin method for the compressible Navier-Stokes equations. Shock-capturing is used to reduce over-shoots at discontinuities and sharp gradients. This stabilization introduces artificial viscosity at places of large local residuals, but preserves conservation and Galerkin orthogonality of the DG method. Based on this discretization we derive a posteriori error estimates for the error measured in terms of arbitrary target functionals, like, e.g. the drag and lift coefficients of an airfoil immersed in a viscous or inviscid fluid. The performance of the nonlinear solution process, the a posteriori error estimation and an adaptive mesh refinement specially tailored for the accurate computation of the force coefficients are demonstrated for supersonic laminar flows around the NACA0012 airfoil.},
  year = {2006}
  }

@MastersThesis{Har98,
  author =       {Hartmann, R.},
  title =        {A posteriori {F}ehlersch{\"a}tzung und adaptive {S}chrittweiten- und
        {O}rtsgittersteuerung bei {G}alerkin-{V}erfahren f{\"u}r die
                  {W}{\"a}rmeleitungsgleichung},
  school =       {Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t Heidelberg},
  year =         1998,
  type =         {Diplomarbeit}
}

@Article{JBHRS06a,
  author =       {Joshi, A. and Bangerth, W. and Hwang, K. and Rasmussen, J. C.
                  and Sevick-Muraca, E. M.},
  title =        {Plane wave fluorescence tomography with adaptive finite elements},
  journal =      {Optics Letters},
  year =         2006,
  volume =       31,
  pages =        {193--195}
}

@Article{JBHRS06b,
  author =       {Joshi, A. and Bangerth, W. and Hwang, K. and Rasmussen, J. C.
                  and Sevick-Muraca, E. M.},
  title =        {Fully adaptive {FEM} based fluorescence optical
              tomography from time-dependent measurements with area
              illumination and detection},
  journal =      {Med. Phys.},
  year =         2006,
  volume =       33,
  number =       5,
  pages =        {1299--1310}
}


@Article{JBS04,
  author =       {Joshi, A. and Bangerth, W. and Sevick-Muraca, E. M.},
  title =        {Adaptive finite element modeling of optical
                  fluorescence-enhanced tomography},
  journal =      {Optics Express},
  year =         2004,
  volume =       12,
  number =       22,
  pages =        {5402--5417},
  month =        nov
}


@InProceedings{JBS06,
  author =       {Joshi, A. and Bangerth, W. and Sevick-Muraca, E. M.},
  title =        {Non-contact fluorescence optical tomography with scanning
                  area illumination},
  booktitle =    {Proceedings of the IEEE International Symposium on
                  Biomedical Imaging, Arlington, VA, 2006},
  pages =        {582--585},
  year =         2006,
  publisher =    {IEEE}
}


@Article{JBS06a,
  author =       {Joshi, A. and Bangerth, W. and Sevick-Muraca, E. M.},
  title =        {Non-contact fluorescence
                  optical tomography with scanning patterned illumination},
  journal =      {Optics Express},
  year =         2006,
  volume =       14,
  pages =        {6516--6534}
}


@InProceedings{JBSWS07,
  author =       {Joshi, A. and Bangerth, W. and Sharma, R. and
                  Wang, W. and Sevick-Muraca, E. M.},
  title =        {Molecular tomographic imaging of lymph nodes with {NIR}
                  fluorescence},
  booktitle =    {Proceedings of the IEEE International Symposium on
                  Biomedical Imaging, Arlington, VA, 2007},
  pages =        {564--567},
  year =         2007,
  publisher =    {IEEE}
}


@InProceedings{JBTS04,
  author =       {Joshi A. and
                  Bangerth, W. and Thompson, A. B. and Sevick-Muraca, E. M.},
  title =        {Adaptive finite element methods for
                  fluorescence enhanced frequency domain optical
                  tomography: Forward imaging problem},
  booktitle={2004 2nd IEEE International Symposium on Biomedical Imaging: Nano to Macro (IEEE Cat No. 04EX821)},
  year={2004},
  volume={},
  number={},
  pages={1103-1106 Vol. 2}
}


@Article{JBTS05,
  author =       {Joshi, A. and Bangerth, W. and Thompson, A. B. and
                  Sevick-Muraca, E. M.},
  title =        {Experimental fluorescence optical tomography using
                  adaptive finite elements and planar illumination with
                  modulated excitation light},
  journal =      {Progr. Biomed. Optics Imag.},
  year =         2005,
  volume =       6,
  pages =        {351--358}
}


@Article{JRB95,
  author =       {Johnson, C. and Rannacher. R. and Boman, M.},
  title =        {Numerics and Hydrodynamic Stability: Towards Error Control
                  in Computational Fluid Dynamics},
  journal =      {SIAM J. Numer. Anal.},
  year =         {1995},
  volume =       {32},
  pages =        {1058--1079}
}


@InProceedings{JTSB04,
  author =       {Joshi, A. and Thompson, A. B. and Sevick-Muraca, E. M.
                  and Bangerth, W.},
  title =        {Adaptive finite element methods for forward modeling in
                  fluorescence enhanced frequency domain optical tomography},
  booktitle =    {Proceedings of the 2004 OSA Biomedical Topical Meetings},
  year =         2004
}


@Article{KBGWSSPCSK05,
  author =       {Klie, H. and Bangerth, W. and Gai, X. and
                  Wheeler, M. F. and Stoffa, P. L. and Sen, M. and
                  Parashar, M. and Catalyurek, U. and Saltz, J. and
                  Kurc, T.},
  title =        {Models, methods and middleware for {G}rid-enabled
                  multiphysics oil reservoir management},
  year = {2006},
  month = {12},
  pages = {349-370},
  volume = {22},
  journal = {Engineering with Computers},
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}


@InProceedings{KBWPM04,
  author =       {Klie, H. and Bangerth, W. and Wheeler, M.
                  and Parashar, M. and Matossian, V.},
  title =        {Parallel well location optimization using stochastic
                  algorithms on the Grid computational framework},
  booktitle =    {Proceedings of the 9th European Conference on the
                  Mathematics of Oil Recovery (ECMOR IX), Cannes, France},
  year =         2004
}


@TechReport{KR98,
  author =       {Kanschat, G. and Rannacher, R.},
  title =        {A posteriori error analysis for the dual-mixed discontinuous finite
        element {G}alerkin approximation of transport-dominated advection-diffusion
        problem},
  institution =  SFB,
  year =         {1998},
  OPTkey =       {},
  type =         {Preprint},
  OPTnumber =    {},
  OPTaddress =   {},
  OPTmonth =     {},
  note =         {in prep.},
  OPTannote =    {}
}


@InProceedings{KS00dgm,
  author =       {Kanschat, G. and Suttmeier, F. -T.},
  title =        {A Posteriori Error Estimates in the Case of Insufficient
                  Regularity of the Discrete Space},
  booktitle =    {Discontinuous {G}alerkin Methods:
                  Theory, Computation and Applications},
  pages =        {349--354},
  year =         2000,
  editor =       {Cockburn, B. and Karniadakis, G. and Shu, C. -W.},
  volume =       11,
  series =       LNCSE,
  publisher =    {Springer}
}

@Unpublished{kanschat:suttmeier:1992,
  author =       {Kanschat, G. and Suttmeier, F. T.},
  title =        {{D}atenstrukturen f{\"u}r die {M}ethode der finiten {E}lemente},
  note =         {unpublished, Bonn-Venusberg},
  OPTkey =       {},
  OPTmonth =     {},
  year =         {1992},
  OPTannote =    {}
}

@Article{KS99c,
  author =       {Kanschat, G. and Suttmeier, F. -T.},
  title =        {A Posteriori Error Estimates for Nonconforming
                  Finite Element Schemes},
  journal =      {Calcolo},
  year =         1999,
  volume =       36,
  number =       3,
  pages =        {129--141}
}



@InProceedings{Kan00ima,
  author =       {Kanschat, G.},
  title =        {Solution of Multi-Dimensional Radiative Transfer
                  Problems on Parallel Computers},
  booktitle =    {Parallel Solution of Partial Differential Equations},
  pages =        {85--96},
  year =         2000,
  editor =       {Bj{\o}rstad, P. and Luskin, M.},
  volume =       120,
  series =       {IMA Volumes in Mathematics and its Applications},
  address =      {New York},
  publisher =    {Springer},
}



@InProceedings{Kan95,
  author =       {Kanschat, G.},
  title =        {Parallel Adaptive Algorithms for Radiative Transfer
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  booktitle =    {Parallel Programming and Applications},
  organization = {ZEUS},
  year =         1995,
  editor =       {Fritzson, P. and Finmo, L.},
  publisher =    {{IOS} {P}ress},
  address =      {Amsterdam},
  pages =        {238--243},
  volume =       45,
  series =       {Transputer and OCCAM Engineering Series}
}

@PhdThesis{Kan96,
  author =       {Kanschat, G.},
  title =        {Parallel and Adaptive {G}alerkin Methods for Radiative
                  Transfer Problems},
  school =       {Universit{\"a}t Heidelberg},
  year =         1996,
  type =         {Dissertation}
}



@InProceedings{Kan97i,
  author =       {Kanschat G.},
  title =        {New Algorithms for Radiative Transfer in Accretion
                  Disks and Surroundings},
  booktitle =    {IAU Colloquium 163: Accretion Phenomena and Related
                  Outflows},
  year =         {1997},
  editor =       {Wickramasinghe, D. T. and Bicknell, G. V. and
                  Ferrario, L.},
  publisher =    {Astronomical Society of the Pacific},
  address =      {San Francisco, California},
  pages =        {736-737}
}

@InProceedings{Kan97m,
  author =       {Kanschat, G.},
  title =        {Efficient and Reliable Solution of Multi-Dimensional
                  Radiative Transfer Problems},
  booktitle =    {Multiscale Phenomena and Their Simulation},
  year =         1997,
  editor =       {Karsch, F. and Monien, B. and Satz, H.},
  publisher =    {World Scientific},
  address =      {Singapore},
  pages =        {245--249}
}

@Article{Kan98e,
  author =       {Kanschat, G.},
  title =        {A robust finite element discretization for
                  radiative transfer problems with scattering},
  journal =      EastWest,
  year =         1998,
  volume =       6,
  number =       4,
  pages =        {265--272}
}


@InProceedings{Kan99f,
  author =       {Kanschat, G.},
  title =        {Parallel Computation of Multi-dimensional Neutron
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  booktitle =    {High Performance Scientific and Engineering
                  Computing},
  pages =        {431--440},
  year =         1999,
  editor =       {Bungartz, H.-J. and Durst, F. and Zenger, Chr.},
  volume =       8,
  series =       LNCSE,
  publisher =    {Springer}
}

@Article{Kan04,
  author    = {Kanschat, G.},
  title     = {Multilevel methods for discontinuous {G}alerkin {FEM} on locally refined meshes},
  number    = {28},
  pages     = {2437--2445},
  volume    = {82},
  journal   = {Computers \& structures},
  publisher = {Elsevier},
  year      = {2004},
}

@Article{LR81,
  author =       {Luskin, M. and Rannacher, R.},
  title =        {On the Smoothing Property of the {G}alerkin Method for
                  Parabolic Problems},
  journal =      {SIAM J. Numer. Anal.},
  volume =       19,
  year =         1981,
  pages =        {93--113}
}

@Article{LR82,
  author =       {Luskin, M. and Rannacher, R.},
  title =        {On the Smoothing Property of the {C}rank-{N}icolson
                  Scheme},
  journal =      {Applic. Anal.},
  volume =       14,
  year =         1982,
  pages =        {117--135}
}

@InProceedings{MPRT95,
  author =       {M{\"u}ller, S. and Prohl, A. and Rannacher, R. and Turek, S.},
  title =        {Implicit time-discretization of the nonstationary incompressible
                  {N}avier-{S}tokes equations},
  booktitle =    {Fast Solvers for Flow Problems, Proceedings of the tenth
                  GAMM-Seminar, Kiel January 14--16, 1994},
  editor =       {Hackbusch, W. and Wittum, G.},
  year =         {1994},
  publisher = {F. Vieweg \& Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden}
}

@Article{MV07,
  author =       {Meidner, D. and Vexler. B.},
  title =        {Adaptive Space-Time Finite Element Methods for Parabolic
                  Optimization Problems},
  journal =      {SIAM J. Contr. Optim.},
  year =         2007,
  volume =       46,
  pages =        {116--142}}



@Article{PKCKBMSW05,
  author =       {Parashar, M. and Klie, H. and Catalyurek, U.
                  and Kurc, T. and Bangerth, W. and
                  Matossian, V. and Saltz, J. and Wheeler, M. F.},
  title =        {Application of Grid-enabled Technologies for Solving
               Optimization Problems in Data-Driven Reservoir Studies},
  journal =      {Future Generation Computer Systems},
  year =         {2005},
  volume =       {21},
  pages =        {19--26}
}


@InProceedings{PMBKRKCSW05,
  author =       {Parashar, M. and Matossian, V. and Bangerth, W.
                  and Klie, H. and Rutt, B. and Kurc, T. and
                  Catalyurek, U. and Saltz, J. and Wheeler, M. F.},
  title =        {Towards dynamic data-driven optimization of oil well
                  placement},
  booktitle =    {Computational Science -- ICCS 2005: 5th International
                  Conference, Atlanta, GA, USA, May 22-25, 2005.
                  Part II},
  pages =        {656--663},
  year =         2005,
  editor =       {Sunderam, V. S. and van Albada, G. D. and
                  Sloot, P. M. A. and et al.}
}


@InCollection{RS02,
  author =       {Rannacher, R. and Suttmeier, F.-T.},
  title =        {Error estimation and adaptive mesh design for FE models in elasto-plasticity},
  booktitle =    {Error-Controlled Adaptive FEMs in Solid Mechanics},
  publisher =    {John Wiley},
  year =         2002
}



@Article{RS97,
  author =       {Rannacher, R. and F.-T. Suttmeier, F.-T.},
  title =        {A Feed-Back Approach to Error Control in Finite
                  Element Methods: Application to Linear Elasticity},
  journal =      {Comp. Mech.},
  year =         1997,
  volume =       19,
  number =       5,
  pages =        {434--446}
}


@InProceedings{RS98b,
  author =       {Rannacher, R. and Suttmeier, F.-T.},
  title =        {An adaptive finite element method for problems in perfect plasticity},
  booktitle =    {GAMM-Conference 1998, Bremen, April  6-9, 1998},
  OPTcrossref =  {},
  OPTkey =       {},
  OPTpages =     {},
  year =         {1998},
  OPTeditor =    {},
  OPTvolume =    {},
  OPTnumber =    {},
  OPTseries =    {},
  OPTaddress =   {},
  OPTmonth =     {},
  organization = {ZAMM},
  OPTpublisher = {},
  note =         {to appear},
  OPTannote =    {}
}


@Article{RS98c,
  author =       {Rannacher, R. and Suttmeier. F.-T.},
  title =        {A Posteriori Error Control in Finite Element Methods
                  Via Duality Techniques: Application to Perfect
                  Plasticity},
  journal =      {Comp. Mech.},
  year =         {1998},
  volume =       21,
  number =       2,
  pages =        {123--133}
}

@InProceedings{RS98p,
  author =       {Rannacher, R. and Suttmeier, F.-T.},
  title =        {A Posteriori Error estimation and Mesh Adaptation in
                  Elasticity and Elasto-Plasticity},
  booktitle =    {Advances in Adaptive Computational Methods in
                  Mechanics},
  OPTcrossref =  {},
  OPTkey =       {},
  editor =       {Ladev\`eze, P. and Oden, J. T.},
  volume =       {176},
  OPTnumber =    {},
  OPTseries =    {},
  year =         {1998},
  OPTorganization ={},
  publisher =    {Elsevier},
  address =      {Amsterdam},
  OPTmonth =     {},
  pages =        {275--292},
  OPTnote =      {},
  OPTannote =    {}
}

@Article{RS99,
  author =       {Rannacher, R. and Suttmeier, F.-T.},
  title =        {A Posteriori Error Control and Mesh Adaptation
                  for Finite Element Models in
                  Elasticity and Elasto-Plasticity},
  journal =      {Comput. Methods Appl. Mech. Engrg.},
  year =         1999,
  pages =        {333--361}
}

@Article{RSWODW96,
  author =       {Rannacher, R. and Segatz, J. and Wichmann, J. and
                  Orlemann, C. and Dreier, T. and Wolfrum, J.},
  title =        {Detailed numerical simulations in flow reactors --
                  A new approach in measuring absolute rate constants},
  journal =      {J. Phys. Chem.},
  year =         1996,
  volume =       22,
  pages =        {9323-9333}
}

@Article{RT92,
  author =       {Rannacher, R. and Turek, S.},
  title =        {Simple nonconforming Quadrilateral {S}tokes Element},
  journal =      {Num. Meth. PDE},
  year =         1992,
  volume =       8,
  number =       2,
  pages =        {97--111},
  month =        mar
}



@InProceedings{RZ94,
  author =       {Rannacher, R. and Zhou, G.},
  title =        {Mesh adaptation via a predictor-corrector strategy in the
streamline diffusion method for nonstationary hyperbolic systems},
  booktitle =    {Proceedings Workshop Adaptive Methods},
  pages =        {236--250},
  year =         1994,
  editor =       {Hackbusch, W. and Wittum, G.},
  volume =       46,
  series =       {NNFM},
  publisher =    {Vieweg}
}


@TechReport{RZ97,
  author =       {Rannacher, R. and Zhou, G.},
  title =        {Local {$L^2$}-error analysis and
        superconvergence of the streamline-diffusion finite element method for stationary
        convection--diffusion problems},
  institution =  SFB,
  year =         {1997},
  OPTkey =       {},
  OPTtype =      {},
  OPTnumber =    {},
  OPTaddress =   {},
  OPTmonth =     {},
  OPTannote =    {}
}


@InProceedings{Ran00a,
  author =       {Rannacher, R.},
  title =        {The dual-weighted-residual method for error control and
        mesh adaptation in finite element methods},
  booktitle =    {Proc. MAFELAP 1999},
  pages =        {97--116},
  year =         2000,
  editor =       {Whiteman, J. R.},
  publisher = {Elsevier, Amsterdam}
}

@Article{Ran00b,
  author =       {Rannacher, R.},
  title =        {Adaptive {G}alerkin finite element methods for partial
        differential equations},
  journal =      {Special Millenium 2000 Issue of J. Comput. Appl. Math.},
  year =         {2000},
  note =         {to appear}
}


@InProceedings{Ran00c,
  author =       {Rannacher, R.},
  title =        {Adaptive finite element discretization of optimization problems},
  booktitle =    {Proc. Conf. Numer. Analysis 1999},
  year =         2000,
  editor =       {Griffiths, D. F. and Watson, G. A.},
  publisher =    {Chapman\&Hall/ CRC, London}
}

@InCollection{Ran00d,
  author =       {Rannacher, R.},
  title =        {Numerical Methods for the Incompressible {N}avier-{S}tokes Equations},
  booktitle =    {Fundamental Directions in Mathematical Fluid Mechanics},
  pages =        {191--293},
  publisher =    {Birkh{\"a}user, B.},
  year =         2000,
  editor =       {P. Galdi and J. Heywood and R. Rannacher}
}


@Article{Ran84,
  author =       {R. Rannacher},
  title =        {Finite Element Solution of Diffusion Problems with
                  Irregular Data},
  journal =      {Numer. Math.},
  volume =       43,
  year =         1984,
  pages =        {309--327}
}

@InCollection{Ran89,
  author =       {R. Rannacher},
  title =        {Numerical analysis of nonstationary fluid flow. {A} survey},
  booktitle =    {Applications of Mathematics in Industry and Technology},
  publisher =    {B. G. Teubner, Stuttgart},
  year =         {1989},
  editor =       {Boffi, V. C. and Neunzert, H.},
  pages =        {34--53}
}


@TechReport{Ran92,
  author =       {Rannacher, R.},
  title =        {On the numerical Solution of the Incompressible
                  {N}avier--{S}tokes Equations},
  institution =  {IWR, Univ. Heidelberg},
  type =         {Preprint},
  number =       {92--12},
  year =         1992
}

@InProceedings{Ran98a,
  author =       {Rannacher, R.},
  title =        {Error Control in Finite Element Computations},
  booktitle =    {Proc. {NATO} Summer School: ``Error Control and
                  Adaptivity in Scientific Computing'', Antalya, Turkey, Aug. 9-12, 1998},
  pages =        {247--278},
  year =         1999,
  editor =       {Bulgak, H. and Zenger, C.},
  series =       {NATO Science Series},
  publisher =    {Kluwer Academic Publ., Dortrecht/Boston/London}
}


@Article{Ran98c,
  author =       {Rannacher, R.},
  title =        {A posteriori error estimation in least-squares
        stabilized finite element schemes},
  journal =      {Comput. Meth. Appl. Mech. Engrg.},
  year =         {1998},
  volume =       {166},
  pages =        {99--114},
}

@TechReport{Ran98d,
  author =       {Rannacher, R.},
  title =        {A Posteriori Error Estimates for Dual-Mixed Finite
                  Element Approximations},
  year =         1998,
  institution =  SFB,
  type =         {Preprint},
  OPTnumber =    {}
}



@InProceedings{Ran99a,
  author =       {Rannacher, R.},
  title =        {Adaptive finite element methods for flow problems},
  booktitle =    {Proc. 88th Int. Symp. on Comput. Fluid Dynamics, Bremen,
        Sept. 5-10, 1999},
  OPTcrossref =  {},
  OPTkey =       {},
  OPTpages =     {},
  year =         {1999},
  OPTeditor =    {},
  OPTvolume =    {},
  OPTnumber =    {},
  OPTseries =    {},
  OPTaddress =   {},
  OPTmonth =     {},
  OPTorganization = {},
  publisher = {J. Japan Society of CFD (CFD Journal)},
  note =         {to appear},
  OPTannote =    {}
}


@InProceedings{Ran99b,
  author =       {Rannacher, R.},
  title =        {Adaptive {FEM}},
  booktitle =    {Proc. CISM-Course ``Adaptive Finite Elements in
Linear and Nonlinear Solid and Structural Mechanics'' Udine, Oct. 4-8, 1999},
  OPTcrossref =  {},
  OPTkey =       {},
  OPTpages =     {},
  year =         {1999},
  OPTeditor =    {},
  OPTvolume =    {},
  OPTnumber =    {},
  OPTseries =    {},
  OPTaddress =   {},
  OPTmonth =     {},
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  OPTpublisher = {},
  OPTnote =      {},
  OPTannote =    {}
}


@InProceedings{SPSB04,
  author =       {Schulz, R. B. and Peter, J. and Semmler, W.
                  and Bangerth, W.},
  title =        {Independent modeling of fluorescence excitation and
                  emission},
  booktitle =    {Proceedings of the 2004 OSA Biomedical Topical Meetings},
  year =         2004
}


@InProceedings{SSSKGBRW05,
  author =       {Stoffa, P. L. and Sen, M. K. and Seifoullaev, R. and
                  Klie, H. and Gai, X. and Bangerth, W. and
                  Rungamornrat, J. and Wheeler, M. F.},
  title =        {An analysis of flow-simulation scales and seismic response},
  booktitle =    {Proceedings of the SEG},
  year =         2005
}


@InProceedings{STR98,
  author =       {Sch{\"a}fer, M. and Turek, S. and Rannacher, R.},
  title =        {Evaluation of a {CFD} Benchmark for Laminar Flows},
  booktitle =    {ENUMATH 97},
  OPTkey =       {},
  pages =        {549--563},
  OPTyear =      {},
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  OPTmonth =     {},
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  OPTpublisher = {},
  OPTnote =      {},
  OPTannote =    {}
}


@Book{Sch88,
  author =       {Schl{\"o}der, J. P.},
  title =        {Numerische Methoden zur Behandlung hochdimensionaler Aufgaben der
                  Parameteridentifizierung},
  publisher =    {University of Bonn},
  year =         {1988},
  volume =       {187},
  address=       {Bonn},
  series =       {Bonner Mathematische Schriften}
}


@PhdThesis{Sch96,
  author =       {Schreiber, P},
  title =        {Eine nichtkonforme Finite-Elemente-Methode zur
                  L{\"o}sung der inkompressiblen 3-D {N}avier-{S}tokes
                  Gleichungen},
  school =       {Universit{\"a}t Heidelberg},
  year =         1996,
  type =         {dissertation}
}


@Article{Sch98,
  author =       {Schulz, V. H.},
  title =        {Solving discretized optimization
                  problems by partially reduced {SQP} methods},
  journal =      {Comput. Visual. Sci.},
  year =         1998,
  volume =       { 1},
  pages =        {83--96}
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@Article{Sut01,
  author =       {Suttmeier, F.-T.},
  title =        {General approach for a posteriori error estimates for
                  finite element solutions of variational inequalities},
  journal =      {Comp. Mech.},
  year =         2001,
  volume =       27,
  pages =        {317-323}
}


@Book{Sut01a,
  author =       {Suttmeier. F.-T.},
  title =        {Error Analysis for Finite Element Solutions of Variational Inequalities. Professorial Dissertation},
  publisher =    {University of Dortmund},
  year =         2001
}



@Article{Sut02,
  author =       {Suttmeier, F.-T.},
  title =        {Error bounds for finite element solutions of elliptic
                  variational inequalities of second kind},
  journal =      {East-West J. Numer. Math.},
  year =         2002,
  volume =       9,
  pages =        {307--314}
}


@PhdThesis{Sut96,
  author =       {Suttmeier, F.-T.},
  title =        {Adaptive Finite Element Approximation of Problems in
                  Elasto-Plasticity Theory},
  school =       {Universit{\"a}t Heidelberg},
  year =         1996,
  type =         {Dissertation}
}


@TechReport{Sut97,
  author =       {Suttmeier, F.-T.},
  title =        {An Adaptive Finite Element Scheme for a Benchmark
                  Problem in Perfect Plasticity},
  institution =  {IWR, Universit{\"a}t Heidelberg},
  year =         1997,
  type =         {Preprint}
}


@TechReport{TW94,
  author =       {Turek, S. and Wehrse, R.},
  title =        {Spectral Appearance of Dust Enshrouded Stars: A
                  Finite Element Approach to {2D} Radiative Transfer},
  institution =  {IWR, Universit{\"a}t Heidelberg},
  year =         1994,
  type =         {Preprint},
  number =       {94--43},
  month =        jul,
  note =         {submitted to A~\&~A}
}



@Article{Tur93,
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abstract = {Abstract In this article, we analyze the local superconvergence property of the streamline-diffusion finite-element method (SDFEM) for scalar convection-diffusion problems with dominant convection. By orienting the mesh in the streamline direction and imposing a uniformity condition on the mesh, the theoretical order of pointwise convergence is increased from O(h11/8|log h|) to O(h2|log h|). Numerical tests show that this result cannot be extended to arbitrary quasi-uniform meshes.},
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  abstract = {Parameter identification problems for partial differential equations (PDEs) often lead to large-scale inverse problems. For their numerical solution it is necessary to repeatedly solve the forward and even the inverse problem, as it is required for determining the regularization parameter, e.g., according to the discrepancy principle in Tikhonov regularization. To reduce the computational effort, we use adaptive finite-element discretizations based on goal-oriented error estimators. This concept provides an estimate of the error in a so-called quantity of interest, which is a functional of the searched for parameter q and the PDE solution u. Based on this error estimate, the discretizations of q and u are locally refined. The crucial question for parameter identification problems is the choice of an appropriate quantity of interest. A convergence analysis of the Tikhonov regularization with the discrepancy principle on discretized spaces for q and u provides a possible answer: it shows, that in order to determine the correct regularization parameter, one has to guarantee sufficiently high accuracy in the squared residual norm-which is therefore our quantity of interest-whereas q and u themselves need not be computed precisely everywhere. This fact allows for relatively low dimensional adaptive meshes and hence for a considerable reduction of the computational effort. In this paper, we study an efficient inexact Newton algorithm for determining an optimal regularization parameter in Tikhonov regularization according to the discrepancy principle. With the help of error estimators we guide this algorithm and control the accuracy requirements for its convergence. This leads to a highly efficient method for determining the regularization parameter.}
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@Article{HAO00,
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@Article{HHT09,
  author =       {E. Haber and L. Horesh and L. Tenorio},
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@InProceedings{HAS02,
  author =       {R. Hauge and O. J. Arntzen and H. Soleng},
  title =        {Choosing objective function for conditioning on
                  production data},
  booktitle =    {ECMOR VIII: 8th European Conference on the Mathematics
                  of Oil Recovery, Freiberg, Germany},
  pages =        {E-47},
  year =         2002,
  organization = {European Association of Geoscientists and
                     Engineers (EAGE)}
}



@Article{HB01,
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@InProceedings{HGNKC03,
  author =       {G. M. Hoversten and E. Gasperikova and G. A. Newman and
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  title =        {Magnetotelluric imaging of the {K}ilauea volcano, {H}awaii},
  booktitle =    {Proceedings of the SEG International Exposition and
                  Seventy-Third Annual Meeting, October 2003, Dallas, Texas},
  year =         2003
}

@Article{hahner:hohage:2001,
  author =       {P. H{\"a}hner and T. Hohage},
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@Article{HH08,
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  pages     = {1177--1200},
  volume    = {16},
  journal   = {SIAM Journal on Optimization},
  publisher = {SIAM},
  year      = {2006},
}


@Article{HHA07,
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@Article{HIK02,
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@Article{HKH99,
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@Article{HP01,
  author =       {G. J. Hicks and R. G. Pratt},
  title = {Reflection waveform inversion using local descent methods: Estimating attenuation and velocity over a gas-sand deposit},
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  volume = {66},
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  pages = {598-612},
  year = {2001},
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  eprint = {https://doi.org/10.1190/1.1444951},
    abstract = { Prestack seismic reflection data contain amplitudes, traveltimes, and moveout information; waveform inversion of such data has the potential to estimate attenuation levels, reflector depths and geometry, and background velocities. However, when inverting reflection data, strong nonlinearities can cause reflectors to be incorrectly imaged and can prevent background velocities from being updated. To successfully recover background velocities, previous authors have resorted to nonlinear, global search inversion techniques. We propose a two-step inversion procedure using local descent methods in which we perform alternate inversions for the reflectors and the background velocities. For our reflector inversion we exploit the efficiency of the back-propagation method when inverting for a large parameter set. For our background velocity inversion we use Newton inverse methods. During the background velocity inversions it is crucial to adaptively depth-stretch the model to preserve the vertical traveltimes. This reduces nonlinearity by largely decoupling the effects of the background velocities and reflectors on the data. Nonlinearity is further reduced by choosing to invert for slownesses and by inverting for a sparse parameter set which is partially defined using geological reflector picks. Applying our approach to shallow seismic data from the North Sea collected over a gas-sand deposit, we demonstrate that the proposed method is able to estimate both the geometry and internal velocity of a significant velocity structure not present in the initial model. Over successive iterations, the use of adaptive depth stretching corrects the pull-down of the base of the gas sand. Vertical background velocity gradients are also resolved. For an insignificant extra cost the acoustic attenuation parameter Q is included in the inversion scheme. The final attenuation tomogram contains realistic values of Q for the expected lithologies and for the effect of partial fluid saturation associated with a shallow bright spot. The attenuation image may also indicate the presence of fracturing. }
}



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@Article{YBDA04,
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  title =        {Decision analysis under uncertainty for smart well deployment},
  journal =      {J. Petrol. Sc. Engrg.},
  volume = {44},
  number = {1},
  pages = {175 - 191},
  year = {2004},
  note = {Risk Analysis Applied to Petroleum Exploration and Production},
  issn = {0920-4105},
  doi = {https://doi.org/10.1016/j.petrol.2004.09.002},
  url = {http://www.sciencedirect.com/science/article/pii/S0920410504001299},
  keywords = {Optimization, Smart wells, Nonconventional wells, Control, Uncertainty, Reliability},
  abstract = {Downhole inflow control devices allow for the flexible operation of nonconventional wells. In this paper, a method for determining the optimal performance of smart wells, i.e., wells containing downhole inflow control devices, is presented. The method entails the use of a gradient-based optimization technique in conjunction with a reservoir simulator. The optimization accounts for uncertain geology as well as the risk of failure of the control devices. A decision analysis approach is presented to determine whether or not to deploy smart completions in light of these uncertainties. The overall optimization technique is applied to several example problems involving geological models with multiple geostatistical realizations and with different reliability scenarios for the control devices. It is shown that there is significant variation in the level of improvement attainable using inflow control devices and that this improvement varies with both the valve reliability and the particular geological realization. Decision-making techniques are used to quantify the benefits obtained using optimized smart wells under different risk attitudes.}
}

@Article{YPNM03,
  author =       {P. Yu and L. Peng and D. D. Nolte and M. R. Melloch},
  title =        {Ultrasound detection through turbid media},
  journal =      {Optics Letters},
  year =         2003,
  volume =       28,
  pages =        {819--821}
}

@Article{YW00,
  author =       {G. Yao and L. V. Wang},
  title =        {Theoretical and experimental studies of ultrasound-modulated
                  optical tomography in biological tissue},
  journal =      {Applied Optics},
  year =         2000,
  volume =       39,
  pages =        {659--664}
}

@Article{Yu96,
  author =       {W. H. Yu},
  title =        {Necessary conditions for optimality in the identification
                  of elliptic systems with parameter constraints},
  journal =      {J. Optimization Theory Appl.},
  year =         1996,
  volume =       88,
  pages =        {725--742}
}

@Article{ZBJVK06,
  author =       {M. J. Zandvliet and O. H. Bosgra and J. D. Jansen and
                  P. M. J. {Van den Hof} and J. F. B. M. Kraaijevanger},
  title =        {Bang-bang control and singular arcs in reservoir flooding},
  journal =      {J. Petrol. Sc. Engrg., submitted},
  volume = {58},
  number = {1},
  pages = {186 - 200},
  year = {2007},
  issn = {0920-4105},
  doi = {https://doi.org/10.1016/j.petrol.2006.12.008},
  url = {http://www.sciencedirect.com/science/article/pii/S0920410507000101},
  keywords = {Optimal control, Bang-bang control, Singular arcs, Reservoir flooding},
  abstract = {Over the past few years, dynamic optimization of reservoir flooding using optimal control theory has received significant attention. Various studies have shown that dynamic (time-varying) injection and production settings can yield a higher Net Present Value (NPV) than conventional reactive settings. In these studies, the optimization procedure itself is always gradient-based, where the gradients are obtained with an adjoint formulation. However, the shape of the optimal injection and production settings is generally not known beforehand. The main contribution of this paper is to investigate why and under what conditions reservoir flooding problems can be expected to have bang-bang (on-off) optimal solutions. A major practical advantage of bang-bang controls is that they can be implemented with simple on-off valves. Furthermore, there are sufficient optimality conditions that are tailor-made for bang-bang solutions, meaning we can actually check whether a solution is locally optimal or not. These results are illustrated by a water flooding example of a 3-dimensional reservoir in a fluvial depositional environment, modeled with 18.553 grid blocks. The valve settings of 8 injection and 4 production wells are optimized over the life of the reservoir, with the objective to maximize NPV. It turns out that optimal settings are sometimes bang-bang, and sometimes bang-bang in combination with so-called singular arcs. For the latter situations, however, bang-bang solutions are found that are only slightly suboptimal.}
}


@Article{Zar09,
  author =       {C. A. Zarzer},
  title =        {On {T}ikhonov regularization with non-convex sparsity
                  constraints},
  journal =      {Inverse Problems},
  year =         2009,
  volume =       25,
  pages =        {025006/1--13}}

@Article{RBSHBRN09,
  author =       {R. Ziegler and B. Brendel and A. Schipper and R. Harbes
                  and M. van Beek and H. Rinneberg and T. Nielsen},
  title =        {Investigation of detection limits for diffuse optical
                  tomography: {I}. {T}heory and experiment},
  journal =      {Phys. Med. Biol.},
  year =         2009,
  volume =       54,
  pages =        {399--412}}

@Article{RBRN09,
  author =       {R. Ziegler and B. Brendel and H. Rinneberg and T. Nielsen},
  title =        {Investigation of detection limits for diffuse optical
                  tomography: {II}. {A}nalysis of slab and cup geometry
                  for breast imaging},
  journal =      {Phys. Med. Biol.},
  year =         2009,
  volume =       54,
  pages =        {413--431}}

@InProceedings{ZR02,
  author =       {F. Zhang and A. C. Reynolds},
  title =        {Optimization algorithms for automatic history
                  matching of production data},
  booktitle =    {ECMOR VIII: 8th European Conference on the Mathematics
                  of Oil Recovery, Freiberg, Germany},
  pages =        {E-48},
  year =         2002,
  organization = {European Association of Geoscientists and
                     Engineers (EAGE)}
}

@Article{ZW04,
  author =       {H. Zhang and L. V. Wang},
  title =        {Acousto-electric tomography},
  journal =      {Proc. SPIE},
  year =         2004,
  volume =       5320,
  pages =        {145--149}
}


@Article{asadzadeh-eriksson:94,
  author =       {Mohammad Asadzadeh and Kenneth Eriksson},
  title =        {On adaptive finite element methods for Fredholm
                  integral equations of the second kind},
  journal =      {SIAM J. Numer. Anal.},
  year =         1994,
  volume =       31,
  number =       3,
  pages =        {831--855}
}

@Article{asadzadeh-kumlin-larsson:92,
  author =       {Mohammad Asadzadeh and Peter Kumlin and Stig Larsson},
  title =        {The discrete ordinates method for the neutron
                  transport equation in an infinite cylindrical domain},
  journal =      {Math. Models Methods Appl. Sci.},
  year =         1992,
  volume =       2,
  number =       3,
  pages =        {317--338}
}

@Article{asadzadeh:2d:86,
  author =       {Mohammad Asadzadeh},
  title =        {Analysis of a fully discrete scheme for neutron
                  transport in two-dimensional geometry},
  journal =      {SIAM J. Numer. Anal.},
  year =         1986,
  volume =       23,
  pages =        {543--561}
}

@Article{asadzadeh:88,
  author =       {Mohammad Asadzadeh},
  title =        {$L^2$-error estimates for the discrete ordinates
                  method for three-dimensional neutron transport},
  journal =      {Transp. Theory Stat. Phys.},
  year =         1988,
  volume =       17,
  pages =        {1--24}
}

@PhdThesis{asadzadeh:dis:86,
  author =       {Mohammad Asadzadeh},
  title =        {Convergence Analysis of some Numerical Methods for
                  Neutron Transport and Vlasov Equations},
  school =       {Chalmers Tekniska H\"ogskola, G\"oteborg},
  year =         1986
}

@Article{auer-paletou:94,
  author =       {L. H. Auer and F. Paletou},
  title =        {Two--dimensional radiative transfer with partial redistribution},
  journal =      {A\&A},
  year =         1994,
  volume =       284,
  pages =        {675--686}
}

@Article{baschek-adam-plate-stoerzer-wehrse:88,
  author =       {B. Baschek and J. Adam and R. Plate and H. St\"orzer
                  and R. Wehrse},
  title =        {Line Radiation from Accretion Discs: Spatially
                  Resolved Distribution},
  journal =      {Adv. Space Res.},
  year =         {1988},
  OPTkey =       {},
  volume =       {8},
  number =       {2},
  OPTmonth =     {},
  pages =        {315--319},
  OPTnote =      {},
  OPTannote =    {}
}

@Article{borysiewicz-mika-spiga:81,
  author =       {M. Borysiewicz and J. Mika and G. Spiga},
  title =        {Asymptotic Analysis of the Linear Boltzmann Equation},
  journal =      {Math. Meth. Appl. Sci.},
  year =         1981,
  volume =       3,
  pages =        {405--423}
}

@Article{borysiewicz-stankiewicz:second-order:79,
  author =       {M. Borysiewicz and R. Stankiewicz},
  title =        {Variational Formulation and Projectional Methods for
                  the Second Order Transport Equation},
  journal =      {J. Math. Anal. Appl.},
  year =         1979,
  volume =       71,
  pages =        {210--231}
}

@Article{borysiewicz-stankiewicz:weak-solution:79,
  author =       {M. Borysiewicz and R. Stankiewicz},
  title =        {Weak Solution and Approximate Methods for the
                  Transport Equation},
  journal =      {J. Math. Anal. Appl.},
  year =         1979,
  volume =       68,
  pages =        {191--210}
}

@Book{chandrasekhar:1960,
  author =       {Chandrasekhar, Subrahmanyan},
  title =        {Radiative Transfer},
  publisher =    {Oxford University Press},
  year =         1960
}

@PhdThesis{dittmann:95,
  author =       {Olaf J. Dittmann},
  title =        {Transport polarisierter {S}trahlung in {M}edien
                  beliebiger {G}eometrie},
  school =       {Universit{\"a}t Heidelberg},
  year =         1995,
  type =         {Dissertation}
}

@Misc{eriksson-hansbo-johnson:neutron,
  author =       {Kenneth Eriksson and Peter Hansbo and Claes Johnson},
  title =        {Parallelization of numerical methods for the neutron
                  transport equation},
  howpublished = {unpublished},
  year =         1994
}

@Book{goethe:10,
  author =       {von Goethe, Johann Wolfgang},
  title =        {Zur Farbenlehre},
  publisher =    {Cotta},
  year =         1810,
  address =      {Hamburg}
}

@Article{golse-perthame:86,
  author =       {F. Golse and B. Perthame},
  title =        {Generalized Solutions of the Radiative Transfer
                  Equations in a Singular Case},
  journal =      {Commun. Math. Phys.},
  year =         1986,
  volume =       106,
  pages =        {211--239},
  annote =       {nonlinear local energy balance}
}

@Article{johnson-pitkaeranta:83,
  author =       {Claes Johnson and Juhani Pitk{\"a}ranta},
  title =        {Convergence of a Fully Discrete Scheme for
                  Two--Dimensional Neutron Transport},
  journal =      {SIAM J. Numer. Anal.},
  year =         1983,
  volume =       20,
  number =       5,
  month =        oct,
  pages =        {951--966}
}

@Article{kalkofen-wehrse:82,
  author =       {W. Kalkofen and R. Wehrse},
  title =        {Radiative Transfer: Comparison of Finite Difference
                  Equations},
  journal =      {Aston. Astrophys.},
  year =         1982,
  volume =       110,
  pages =        {18--22}
}

@Article{larsen-morel-miller:87,
  author =       {Edward W. Larsen and J. E. Morel and Warren
                  F. {Miller Jr.}},
  title =        {Asymptotic Solutions of Numerical Transport Problems
                  in Optically Thick, Diffusive Regions},
  journal =      {Comp. Phys.},
  year =         1987,
  volume =       69,
  pages =        {283--324}
}

@Book{mikhalas-mikhalas:84,
  author =       {Mikhalas, Dimitri and Weibel Mikhalas, Barbara},
  title =        {Foundations of Radiation Hydrodynamics},
  publisher =    {Oxford University Press},
  year =         1984
}

@Article{olson-auer-buchler:86,
  author =       {G. L. Olson and L. H. Auer and J. R. Buchler},
  title =        {A Rapidly Convergent Iterative Solution of the
                  non--LTE Line Radiation Transfer Problem},
  journal =      {JQSRT},
  year =         1986,
  volume =       35,
  pages =        {431--442},
  keywords =     {short characteristics}
}

@Book{oxenius:86,
  author =       {Oxenius, Joachim},
  title =        {Kinetic Theory of Particles and Photons
                  Theoretical Foundations of non-LTE
                  Plasma Spectroscopy},
  publisher =    {Springer},
  year =         1986
}

@Article{pitkaeranta:79,
  author =       {Juhani Pitk{\"a}ranta},
  title =        {On the Differential Properties of Solutions to
                  Fredholm Equations with Weakly Singular Kernels},
  journal =      {J. Inst. Math. Appl.},
  year =         1979,
  volume =       24,
  pages =        {109--119}
}

@Article{pitkaeranta:80,
  author =       {Juhani Pitk{\"a}ranta},
  title =        {Estimates for the Derivatives of Solutions to Weakly
                  Singular Fredholm Integral Equations},
  journal =      {SIAM J. Math. Anal.},
  year =         1980,
  volume =       11,
  number =       6,
  month =        nov,
  pages =        {952--968},
  annote =       {radiative transfer, regularity}
}

@PhdThesis{ressel:94,
  author =       {Klaus J\"urgen Ressel},
  title =        {Least--Squares Finite--Element Solution of the
                  Neutron Transport Equation in Diffusive Regimes},
  school =       {University of Colorado},
  year =         {1994},
  address =      {Denver},
  OPTtype =      {}
}

@Article{stenholm-stoerzer-wehrse:91,
  author =       {L. G. Stenholm and H. St\"orzer and R. Wehrse},
  title =        {An Efficient Method for the Solution of 3-D
                  Radiative Transfer Problems},
  journal =      {J. Quant. Spectrosc. Radiat. Transfer},
  year =         1991,
  volume =       45,
  number =       1,
  pages =        {47--56}
}

@Book{unsoeld-baschek:88,
  author =       {Albrecht Uns\"old and Bodo Baschek},
  title =        {Der neue Kosmos},
  publisher =    {Springer},
  year =         1988,
  address =      {Berlin, Heidelberg, \ldots},
  edition =      4
}

@Article{vaeth:94,
  author =       {H. M. V{\"a}th},
  title =        {Three--dimensional radiative transfer on a massively
                  parallel computer},
  journal =      {A\&A},
  year =         1994,
  volume =       284,
  pages =        {319--331}
}

@Misc{ACE,
  author =       {Douglas C. Schmidt et al.},
  title =        {{W}{W}{W} homepage of the {A}daptive {C}ommunications {E}nvironment {A}{C}{E},
                  {http://www.cs.wustl.edu/\~{}schmidt/ACE.html}}
}

@InCollection{BL97,
  author =       {Are Magnus Bruaset and Hans Petter Langtangen},
  title =        {A Comprehensive Set of Tools for Solving Partial
                  Differential Equations; {D}iff{P}ack},
  booktitle =    {Numerical Methods and Software Tools in Industrial
                  Mathematics},
  publisher =    {Birkh{\"a}user, Boston},
  year =         {1997},
  editor =       {M. D{\ae}hlen and A. Tveito},
  pages =        {61--90}
}

@Book{Cus93,
  author =       {H. Custer},
  title =        {Inside Windows NT},
  publisher =    {Microsoft Press, Redmont, Washington},
  year =         1993
}




@Misc{DEAL1,
  author =       {Roland Becker and Guido Kanschat and Franz-Theo Suttmeier},
  title =        {{DEAL} --- Dif\-fe\-ren\-tial Equa\-tions Ana\-ly\-sis Library},
  howpublished = {Available via {http://gaia.iwr.uni-heidelberg.de/DEAL.html}},
  year =         1995
}






@Misc{FEMLists,
  note =         {Lists of available finite element software can, for example,
                  be found on ``The Object-Oriented Numerics Page''
                  ({http://www.oonumerics.org/oon}), or the
                  ``Numerical Analysis \& Associated Fields Resource Guide''
                  ({http://www.mathcom.com/nafaq/index.html})},
}

@Book{LL98,
  author =       {Stanley B. Lippmann and Jos{\'e}e Lajoie},
  title =        {{C++} Primer},
  publisher =    {Addison-Wesley},
  year =         1998,
  edition =      3
}

@Article{castillo:etal:2005,
  author =       {P. Castillo and R. Rieben and D. White},
  title =        {{FEMSTER:} {A}n object-oriented class library of
                  higher-order discrete differential forms},
  journal =      {ACM Trans. Math. Software},
  year =         2005,
  volume =       31,
  pages =        {425--457}
}

@TechReport{PosixThreads96,
  author =       {IEEE},
  title =        {Threads Extensions for Portable Operating Systems},
  institution =  {IEEE},
  year =         1995
}

@TechReport{schmidt:wang:1995,
  author =       {Douglas C. Schmidt and Nanbor Wang},
  title =        {An {O}{O} Encapsulation of Lightweight {O}{S} Concurrency
                  Mechanisms in the {A}{C}{E} Toolkit},
  institution =  {Washington University, St. Louis},
  year =         1995,
  number =       {WUCS-95-31}
}

@InProceedings{Sch94,
  author =       {Douglas C. Schmidt},
  title =        {{A}{C}{E}: an Object-Oriented Framework for Developing
                  Distributed Applications},
  booktitle =    {Proceedings of the Sixth USENIX C++ Technical Conference,
                  Cambridge, Massachusetts},
  year =         1994,
  month =        apr,
  organization = {USENIX Association}
}


@InProceedings{SolarisThreads92,
  author =       {J. Eykholt and S. Kleinman and S. Barton and R. Faulkner and
                  A. Shivalingiah and M. Smith and D. Stein and J. Voll and
                  M. Weeks and D. Williams},
  title =        {Beyon Multiprocessing... {M}ultithreading the {S}un{O}{S} Kernel},
  booktitle =    {Proceedings of the Summer USENIX C++ Technical Conference,
                  San Antonio, Texas},
  year =         1992,
  month =        jun
}


@Book{Str97,
  author =       {Bjarne Stroustrup},
  title =        {The {C++} Programming Language},
  publisher =    {Addison-Wesley},
  year =         1997,
  edition =      3
}


@Article{Dav04,
  author =       {T. A. Davis},
  title =        {Algorithm 832: {UMFPACK V4.3}---{A}n unsymmetric-pattern
                  multifrontal method},
  journal =      {ACM Trans. Math. Software},
  year =         2004,
  volume =       30,
  pages =        {196--199}
}

@InProceedings{TTTPAR05,
author = {Thomas, Nathan and Tanase, Gabriel and Tkachyshyn, Olga and Perdue, Jack and Amato, Nancy M. and Rauchwerger, Lawrence},
title = {A Framework for Adaptive Algorithm Selection in STAPL},
year = {2005},
isbn = {1595930809},
publisher = {Association for Computing Machinery},
address = {New York, NY, USA},
url = {https://doi.org/10.1145/1065944.1065981},
doi = {10.1145/1065944.1065981},
booktitle = {Proceedings of the Tenth ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming},
pages = {277-288},
numpages = {12},
keywords = {adaptive algorithms, machine learning, matrix multiplication, parallel algorithms, sorting},
location = {Chicago, IL, USA},
series = {PPoPP '05}
}


@Article{Li05,
  author =       {X. S. Li},
  title =        {An overview of {SuperLU}: {A}lgorithms, implementation,
                  and user interface},
  journal =      {ACM Trans. Math. Software},
  year =         2005,
  volume =       31,
  pages =        {302--325}
}



@Article{Log09,
  author =       {A. Logg},
  title={Efficient representation of computational meshes},
  volume={4},
  ISSN={1742-7193},
  url={http://dx.doi.org/10.1504/IJCSE.2009.029164},
  DOI={10.1504/ijcse.2009.029164},
  number={4},
  journal={International Journal of Computational Science and Engineering},
  publisher={Inderscience Publishers},
  year={2009},
  pages={283}
}

@Article{Mu05,
  author =       {M. Mu},
  title =        {{PDE.Mart}: {A} network-based problem-solving environment
                  for {PDE}s},
  journal =      {ACM Trans. Math. Softw.},
  year =         2005,
  volume =       31,
  pages =        {508--531}
}


@Article{PB01,
  author =       {B. Patz{\'a}k and Z. Bittnar},
  title =        {Design of object oriented finite element code},
  journal =      {Adv. Engrg. Softw.},
  year =         2001,
  volume =       32,
  pages =        {759--767}
}

@Article{rheinboldt:mesztenyi:1980,
  author = {Rheinboldt, W. C. and Mesztenyi, C. K.},
  title = {On a Data Structure for Adaptive Finite Element Mesh Refinements},
  journal = {ACM Trans. Math. Softw.},
  pages = {166-187},
  volume = {6},
  year = {1980}
}

@Article{KPSC07,
  author = {B.~Kirk and J.~W.~Peterson and R.~H.~Stogner and G.~F.~Carey},
  title = {{{libMesh}: A C++ Library for Parallel Adaptive Mesh
           Refinement/Coarsening Simulations}},
  journal = {Engineering with Computers},
  volume = {22},
  number = {3--4},
  pages = {237--254},
  year = {2006}
}


@Article{BA07,
author = {Berube, Paul and Amaral, Jos{\'e}},
year = {2007},
month = {01},
pages = {},
title = {Benchmark Design for Robust Profile-Directed Optimization},
journal = {2007 SPEC Benchmark Workshop}
}

@Article{PBSABV07,
  author =       {L. Pesch and A. Bell and H. Sollie and V. R. Ambati and
                  O. Bokhove and J. W. van der Vegt},
  title =        {{hpGEM}~--~{A} software framework for discontinuous
                  {G}alerkin finite element methods},
  journal =      {ACM Trans. Math. Softw.},
  year =         2007,
  volume =       33,
  number =       4,
  pages =        {23/1--23/25}
}

@Article{SCD07,
  author =       {P. {\v S}ol{\'i}n and J. {\v C}erven{\'y} and I. Dole{\v z}el},
  title =        {Arbitrary-Level Hanging Nodes and Automatic Adaptivity in
                  the hp-{FEM}},
  journal =      {Math. Comput. Sim.},
  year =         {2008},
  volume = 77,
  pages = {117--132}
}

@Article{FL02,
  author =       {P. Frauenfelder and C. Lage},
  title =        {Concepts -- {A}n object-oriented software package for partial
                  differential equations},
  journal =      {M2AN},
  year =         2002,
  volume =       36,
  pages =        {937--951}
}


@Article{LCWCDZK06,
  author =       {O. S. Lawlor and S. Chakravorty and T. L. Wilmarth and
                  N. Choudhury and I. Dooley and G. Zheng and L. V. Kal{\'e}},
  title =        {{ParFUM}: a parallel framework for unstructured meshes
                  for scalable dynamic physics applications},
  journal =      {Eng. Comp.},
  year =         2006,
  volume =       22,
  pages =        {215--235}
}

@InProceedings{SSP07,
  author =       {J. Singler and P. Sanders and F. Putze},
  title =        {{MCSTL}: The multi-core standard template library},
  booktitle =    {Proceedings of the Euro-Par 2007 Parallel Processing
                  Conference},
  pages =        {682--694},
  year =         2007,
  editor =       {Kermarrec, A.-M. and Boug{\'e}, L. and Priol T.},
  volume =       4641,
  series =       {Lecture Notes in Computer Science},
  publisher =    {Springer}
}

@Misc{NSF_software,
  key =          {NSF software strategy},
  author =       {US National Science Foundation},
  title =        {Grant general conditions (GC-1) \#38---Sharing of findings,
                  data, and other research products},
  howpublished = {\url{http://www.nsf.gov/pubs/policydocs/gc1_607.pdf}},
  month =        jun,
  year =         2007}

@Book{Rei07,
  author =       {J. Reinders},
  title =        {Intel Threading Building Blocks},
  publisher =    {O'Reilly},
  year =         2007}


@TechReport{DVWC09,
  author =       {D. Das and M. Valluri and M. Wong and C. Cambly},
  title =        {Speeding up {STL} set/map usage in {C}++ applications},
  institution =  {IBM},
  year =         2009}


@Article{ABEI99,
  author =       {M. Aza{\"i}ez and F. {Ben Belgacem} and H. {El Fekih}
                  and M. Ismail},
  title =        {Numerical simulation of the wave equation with
                  discontinuous coefficients by nonconforming finite elements},
  journal =      {Numer. Methods Partial Differential Eq.},
  year =         1999,
  volume =       15,
  pages =        {637--656}
}



@Article{AGH00,
  author =       {Bradley Alpert and Leslie Greengard and Thomas Hagstrom},
  title =        {Rapid evaluation of nonreflecting boundary kernels
                  for time-domain wave propagation},
  journal =      {SIAM J. Numer. Anal.},
  year =         2000,
  volume =       37,
  number =       4,
  pages =        {1138--1164}
}


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  type =         {Rapport de recherche},
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  journal = {Geophysical Journal International},
  volume = {171},
  number = {2},
  pages = {695-717},
  keywords = {ADER approach, Discontinuous Galerkin schemes, elastic waves, local time stepping, p-adaptivity, tetrahedral meshes},
  doi = {10.1111/j.1365-246X.2007.03427.x},
  url = {https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1365-246X.2007.03427.x},
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  abstract = {SUMMARY This article describes the extension of the arbitrary high-order Discontinuous Galerkin (ADER-DG) method to treat locally varying polynomial degress of the basis functions, so-called p-adaptivity, as well as locally varying time steps that may be different from one element to another. The p-adaptive version of the scheme is useful in complex 3-D models with small-scale features which have to be meshed with reasonably small elements to capture the necessary geometrical details of interest. Using a constant high polynomial degree of the basis functions in the whole computational domain can lead to an unreasonably high CPU effort since good spatial resolution at the surface may be already obtained by the fine mesh. Therefore, it can be more adequate in some cases to use a lower order method in the small elements to reduce the CPU effort without loosing much accuracy. To further increase computational efficiency, we present a new local time stepping (LTS) algorithm. For usual explicit time stepping schemes the element with the smallest time step resulting from the stability criterion of the method will dictate its time step to all the other elements of the computational domain. In contrast, by using local time stepping, each element can use its optimal time step given by the local stability condition. Our proposed LTS algorithm for ADER-DG is very general and does not need any temporal synchronization between the elements. Due to the ADER approach, accurate time interpolation is automatically provided at the element interfaces such that the computational overhead is very small and such that the method maintains the uniform high order of accuracy in space and time as in the usual ADER-DG schemes with a globally constant time step. However, the LTS ADER-DG method is computationally much more efficient for problems with strongly varying element size or material parameters since it allows to reduce the total number of element updates considerably. This holds especially for unstructured tetrahedral meshes that contain strongly degenerate elements, so-called slivers. We show numerical convergence results and CPU times for LTS ADER-DG schemes up to sixth order in space and time on irregular tetrahedral meshes containing elements of very different size and also on tetrahedral meshes containing slivers. Further validation of the algorithm is provided by results obtained for the layer over half-space (LOH.1) benchmark problem proposed by the Pacific Earthquake Engineering Research Center. Finally, we present a realistic application on earthquake modelling and ground motion prediction for the alpine valley of Grenoble.},
  year = {2007}
}

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  volume =       {140},
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@TechReport{SW96,
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@InProceedings{Sch00,
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@MastersThesis{Sch95,
  author =       {Martin Schemann},
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@TechReport{Sch97b,
  author =       {Frank Schmidt},
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@PhdThesis{Wor12,
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author = {Donea, Jean and Huerta, Antonio and Ponthot, J.-Ph. and Rodr{\'i}guez-Ferran, A.},
publisher = {American Cancer Society},
isbn = {9780470091357},
title = {Arbitrary Lagrangian-Eulerian Methods},
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chapter = {14},
pages = {},
doi = {10.1002/0470091355.ecm009},
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eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/0470091355.ecm009},
year = {2004},
keywords = {ALE description, convective transport, finite elements, stabilization techniques, mesh regularization and adaptation, fluid dynamics, nonlinear solid mechanics, stress-update procedures, fluid-structure interaction},
abstract = {Abstract The aim of the present chapter is to provide an in-depth survey of arbitrary Lagrangian-Eulerian (ALE) methods, including both conceptual aspects of the mixed kinematical description and numerical implementation details. Applications are discussed in fluid dynamics, nonlinear solid mechanics and coupled problems describing fluid-structure interaction. The need for an adequate mesh-update strategy is underlined, and various automatic mesh-displacement prescription algorithms are reviewed. This includes mesh-regularization methods essentially based on geometrical concepts, as well as mesh-adaptation techniques aimed at optimizing the computational mesh according to some error indicator. Emphasis is then placed on particular issues related to the modeling of compressible and incompressible flow and nonlinear solid mechanics problems. This includes the treatment of convective terms in the conservation equations for mass, momentum, and energy, as well as a discussion of stress-update procedures for materials with history-dependent constitutive behavior.}
}

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pages={1-17},
year={2012}
}

@article{guermond:etal:2011,
  author =       {{Jean-Luc Guermond and Richard Pasquetti and Bojan Popov}},
  title =        {Entropy viscosity method for nonlinear conservation laws},
  journal =      {Journal of Computational Physics},
  year =         {2011},
  volume =       {230},
  pages =        {4248--4267}
}

@article{LundTownend07,
  Author = {B. Lund and J. Townend},
  Title = {Calculating horizontal stress orientations with full or partial knowledge of the tectonic stress tensor},
  Journal = {Geophys. J. Int.},
  Volume = {170},
  Pages = {1328--1335},
  Year = {2007}
}

@article{king:etal:2010,
  title={A community benchmark for 2-{D} {C}artesian compressible convection in the {E}arth's mantle},
  author={King, Scott D and Lee, Changyeol and Van Keken, Peter E and Leng, Wei and Zhong, Shijie and Tan, Eh and Tosi, Nicola and Kameyama, Masanori C},
  journal={Geophysical Journal International},
  volume={180},
  number={1},
  pages={73--87},
  year={2010},
  publisher={Oxford University Press}
}

@article{becker:etal:2003,
author = {Becker, Thorsten W. and Kellogg, James B. and Ekstr{\"{o}}m, G{\"{o}}ran and O'Connell, Richard J.},
doi = {10.1046/j.1365-246X.2003.02085.x},
issn = {0956540X},
journal = {Geophysical Journal International},
month = nov,
number = {2},
pages = {696--714},
publisher = {Oxford University Press},
title = {{Comparison of azimuthal seismic anisotropy from surface waves and finite strain from global mantle-circulation models}},
url = {http://doi.wiley.com/10.1046/j.1365-246X.2003.02085.x},
volume = {155},
year = {2003}
}

@article{mckenzie:jackson:1983,
author = {McKenzie, Dan and Jackson, James},
doi = {10.1016/0012-821X(83)90198-X},
issn = {0012821X},
journal = {Earth and Planetary Science Letters},
number = {1},
pages = {182--202},
publisher = {Elsevier},
title = {{The relationship between strain rates, crustal thickening, palaeomagnetism, finite strain and fault movements within a deforming zone}},
volume = {65},
year = {1983}
}

@book{dahlen:tromp:1998,
  title={Theoretical global seismology},
  author={Dahlen, FA and Tromp, Jeroen},
  year={1998},
  publisher={Princeton University Press}
}

@article{ribe:1992,
author = {Ribe, Neil M.},
doi = {10.1029/92JB00551},
issn = {0148-0227},
journal = {Journal of Geophysical Research},
number = {B6},
pages = {8737},
title = {{On the relation between seismic anisotropy and finite strain}},
url = {http://doi.wiley.com/10.1029/92JB00551},
volume = {97},
year = {1992}
}

@article{buiter2008dissipation,
  title={Dissipation analysis as a guide to mode selection during crustal extension and implications for the styles of sedimentary basins},
  author={Buiter, S. J. H. and Huismans, R. S. and Beaumont, C.},
  journal={Journal of Geophysical Research: Solid Earth},
  volume={113},
  number={B6},
  year={2008},
  publisher={Wiley Online Library}
}

@Article{rose_freesurface,
  Title                    = {Stability and accuracy of free surface time integration in viscous flows},
  Author                   = {Ian Rose and Bruce Buffett and Timo Heister},
  Journal                  = {Physics of the Earth and Planetary Interiors},
  Year                     = {2017},
  Pages                    = {90 - 100},
  Volume                   = {262},
  Doi                      = {10.1016/j.pepi.2016.11.007},
  ISSN                     = {0031-9201},
  Url                      = {http://dx.doi.org/10.1016/j.pepi.2016.11.007}
}

@article{heister:etal:2017,
  title                    = {High Accuracy Mantle Convection Simulation through Modern Numerical Methods.
                              {II}: {R}ealistic Models and Problems},
  author                   = {Heister, Timo and Dannberg, Juliane and
                              Gassm{\"o}ller, Rene and Bangerth, Wolfgang},
  journal                  = {Geophysical Journal International},
  year                     = {2017},
  number                   = {2},
  pages                    = {833-851},
  volume                   = {210},
  DOI                      = {10.1093/gji/ggx195},
  URL                      = {https://doi.org/10.1093/gji/ggx195}
}

@misc{aspect-doi-v1.5.0,
  title        = {{ASPECT} v1.5.0 [software]},
  author       = {Wolfgang Bangerth and
                  Juliane Dannberg and
                  Rene Gassmoeller and
                  Timo Heister and
                  others},
  month        = mar,
  year         = {2017},
  doi          = {10.5281/zenodo.344623},
  note         = {doi:10.5281/zenodo.344623},
  url          = {https://doi.org/10.5281/zenodo.344623},
  organization = {Computational Infrastructure for Geodynamics},
  address      = {Davis, CA},
}

@misc{aspect-doi-v2.0.0,
  title        = {{ASPECT} v2.0.0 [software]},
  author       = {Wolfgang Bangerth and
                  Juliane Dannberg and
                  Rene Gassmoeller and
                  Timo Heister and
                  others},
  month        = may,
  year         = 2018,
  DOI          = {10.5281/zenodo.1244587},
  URL          = {https://doi.org/10.5281/zenodo.1244587},
  organization = {Computational Infrastructure for Geodynamics},
  address      = {Davis, CA},
}

@misc{aspect-doi-v2.0.1,
  title        = {{ASPECT} v2.0.1 [software]},
  author       = {Wolfgang Bangerth and
                  Juliane Dannberg and
                  Rene Gassmoeller and
                  Timo Heister and
                  others},
  month        = jun,
  year         = 2018,
  DOI          = {10.5281/zenodo.1297145},
  URL          = {https://doi.org/10.5281/zenodo.1297145},
  organization = {Computational Infrastructure for Geodynamics},
  address      = {Davis, CA},
}

@misc{aspect-doi-v2.1.0,
  title        = {{ASPECT} v2.1.0 [software]},
  author       = {Wolfgang Bangerth and
                  Juliane Dannberg and
                  Rene Gassmoeller and
                  Timo Heister and
                  others},
  month        = apr,
  year         = 2019,
  DOI          = {10.5281/zenodo.2653531},
  URL          = {https://doi.org/10.5281/zenodo.2653531},
  organization = {Computational Infrastructure for Geodynamics},
  address      = {Davis, CA},
}

@software{aspect-doi-v2.2.0,
  author       = {Wolfgang Bangerth and
                  Juliane Dannberg and
                  Rene Gassmoeller and
                  Timo Heister},
  title        = {ASPECT v2.2.0},
  month        = jun,
  year         = 2020,
  publisher    = {Zenodo},
  version      = {v2.2.0},
  doi          = {10.5281/zenodo.3924604},
  url          = {https://doi.org/10.5281/zenodo.3924604}
}


@software{aspect-doi-v2.3.0,
  author       = {Wolfgang Bangerth and
                  Juliane Dannberg and
                  Menno Fraters and
                  Rene Gassmoeller and
                  Anne Glerum and
                  Timo Heister and
                  John Naliboff},
  title        = {ASPECT v2.3.0},
  month        = jul,
  year         = 2021,
  publisher    = {Zenodo},
  version      = {v2.3.0},
  doi          = {10.5281/zenodo.5131909},
  url          = {https://doi.org/10.5281/zenodo.5131909}
}

@software{aspect-doi-v2.4.0,
  author       = {Wolfgang Bangerth and
                  Juliane Dannberg and
                  Menno Fraters and
                  Rene Gassmoeller and
                  Anne Glerum and
                  Timo Heister and
                  Robert Myhill and
                  John Naliboff},
  title        = {ASPECT v2.4.0},
  month        = jul,
  year         = 2022,
  publisher    = {Zenodo},
  version      = {v2.4.0},
  doi          = {10.5281/zenodo.6903424},
  url          = {https://doi.org/10.5281/zenodo.6903424}
}

@software{aspect-doi-v2.5.0,
  author       = {Wolfgang Bangerth and
                  Juliane Dannberg and
                  Menno Fraters and
                  Rene Gassmoeller and
                  Anne Glerum and
                  Timo Heister and
                  Robert Myhill and
                  John Naliboff},
  title        = {ASPECT v2.5.0},
  month        = jul,
  year         = 2023,
  publisher    = {Zenodo},
  version      = {v2.5.0},
  doi          = {10.5281/zenodo.8200213},
  url          = {https://doi.org/10.5281/zenodo.8200213}
}

@misc{aspectmanual,
  title         = {{{ASPECT}: Advanced Solver for Problems in Earth's ConvecTion, User Manual}},
  author        = {Bangerth, Wolfgang and Dannberg, Juliane and Fraters, Menno and Gassmoeller, Rene and Glerum, Anne and Heister, Timo and Myhill, Robert and Naliboff, John},
  year          = {2023},
  month         = jul,
  DOI           = {10.6084/m9.figshare.4865333},
  note          = {doi:10.6084/m9.figshare.4865333},
  URL           = {https://doi.org/10.6084/m9.figshare.4865333}
}

@article{gassmoller:etal:2018,
  title={Flexible and Scalable Particle-in-Cell Methods With Adaptive Mesh Refinement for Geodynamic Computations},
  author={Gassm{\"o}ller, Rene and Lokavarapu, Harsha and Heien, Eric and Puckett, Elbridge Gerry and Bangerth, Wolfgang},
  journal={Geochemistry, Geophysics, Geosystems},
  volume={19},
  number={9},
  pages={3596--3604},
  year={2018},
  url={https://doi.org/10.1029/2018GC007508},
  doi={10.1029/2018GC007508}
}

@article{He_2017_DG,
  Title                    = {A discontinuous {G}alerkin method with a bound preserving limiter for the advection of non-diffusive fields in solid Earth geodynamics },
  Author                   = {Ying He and Elbridge Gerry Puckett and Magali I. Billen},
  Journal                  = {Physics of the Earth and Planetary Interiors },
  Year                     = {2017},
  Pages                    = {23 - 37},
  Volume                   = {263},
  Doi                      = {10.1016/j.pepi.2016.12.001},
  ISSN                     = {0031-9201},
  Keywords                 = {Geodynamics},
  Url                      = {https://doi.org/10.1016/j.pepi.2016.12.001}
}


@Article{NPB+04,
  author =       {Nimmo, F. and Price, G.D. and Brodholt, J. and Gubbins, D.
                  },
  title =        {The influence of potassium on core and geodynamo evolution},
  journal =      {Geophysical Journal International},
  year =         2004,
  volume =       156,
  pages =        {363-376}
}

@Article{tosi:etal:2015,
  author =       {Tosi, N. and Stein, C. and Noack, L. and H\"uttig, C. and Maierova, P. and Samual, H. and Davies, D. R. and Wilson, C. R. and Kramer, S. C. and Thieulot, C. and Glerum, A. and Fraters, M. and Spakman, W. and Rozel, A. and Tackley, P. J.},
  title =        {A community benchmark for viscoplastic thermal convection in a 2-D square box},
  journal =      g3,
  year =         2015,
  volume =       16,
  pages =        {2175-2196}
}

@Book{donea:huerta:2003,
  author =    {Donea, J. and Huerta, A.},
  title =     {Finite Element Methods for Flow Problems},
  publisher = {John Wiley \& Sons, Ltd},
  year =      2003
}

@article{yamauchi:takei:2016,
  author = {Yamauchi, H. and Takei, Y.},
  title = {Polycrystal anelasticity at near-solidus temperatures},
  journal = {Journal of Geophysical Research: Solid Earth},
  year={2016},
  volume={121},
  number={11},
  pages={7790--7820}
}

@article{mckenzie:etal:2005,
  author = {McKenzie, Dan and Jackson, James and Priestley, Keith},
  title = {Thermal structure of oceanic and continental lithosphere},
  journal = {Earth \& Planetary Science Letters},
  year = {2005},
  volume = {233},
  number = {3-4},
  pages = {337--349},

}

@article{priestley:etal:2012,
  author = {Priestley, Keith and McKenzie, Dan and Barron, Jamie and Tatar, Mohammad and Debayle, Eric},
  title = {The Zagros core: Deformation of the continental lithospheric mantle},
  journal = {Geochemistry, Geophysics, Geosystems},
  volume = {13},
  number = {11},
  pages = {Q11014},
  year = {2012}
}

@article{hirschmann:2000,
author = {Hirschmann, Marc M.},
journal = {Geochemistry, Geophysics, Geosystems},
title = {Mantle solidus: Experimental constraints and the effects of peridotite composition},
number = {10},
volume = {1},
year = {2000}
}

@article{rudi2017weighted,
  title={Weighted BFBT Preconditioner for Stokes Flow Problems with Highly Heterogeneous Viscosity},
  author={Rudi, Johann and Stadler, Georg and Ghattas, Omar},
  journal={SIAM Journal on Scientific Computing},
  volume={39},
  number={5},
  pages={S272--S297},
  year={2017},
  publisher={SIAM}
}


@article{DohrmannBochev2004,
  doi = {10.1002/fld.752},
  url = {https://doi.org/10.1002/fld.752},
  year = {2004},
  month = aug,
  publisher = {Wiley},
  volume = {46},
  number = {2},
  pages = {183--201},
  author = {Clark R. Dohrmann and Pavel B. Bochev},
  title = {A stabilized finite element method for the Stokes problem based on polynomial pressure projections},
  journal = {International Journal for Numerical Methods in Fluids}
}


@Article{fraters:etal:2019,
    author = {M. R. T. Fraters and W. Bangerth and C. Thieulot and A. C. Glerum and W. Spakman},
    title = {Efficient and practical {N}ewton solvers for nonlinear {S}tokes systems in geodynamics problems},
    journal = {Geophysics Journal International},
    volume = {218},
    number = {2},
    pages = {873-894},
    year = {2019},
    month = {04},
    issn = {0956-540X},
    doi = {10.1093/gji/ggz183},
    url = {https://doi.org/10.1093/gji/ggz183},
    eprint = {http://oup.prod.sis.lan/gji/article-pdf/218/2/873/28693654/ggz183.pdf},
}

@article{fraters_billen_2021_cpo,
author = {Fraters, M. R. T. and Billen, M. I.},
title = {On the Implementation and Usability of Crystal Preferred Orientation Evolution in Geodynamic Modeling},
journal = {Geochemistry, Geophysics, Geosystems},
volume = {22},
number = {10},
pages = {e2021GC009846},
keywords = {crystal preferred orientation, CPO, LPO, D-Rex, ASPECT},
doi = {https://doi.org/10.1029/2021GC009846},
url = {https://agupubs.onlinelibrary.wiley.com/doi/abs/10.1029/2021GC009846},
eprint = {https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2021GC009846},
note = {e2021GC009846 2021GC009846},
abstract = {Abstract Flow in the Earth's mantle causes the preferred orientation of crystals called lattice/crystal preferred orientation (LPO or CPO). This preferred orientation is one of the main reasons why seismic anisotropy is observed. Seismic anisotropy observations could therefore be used to constrain the mantle flow in geodynamic models through tracking CPO evolution, and computing the resulting elastic tensor and the anisotropy predicted at the surface. Even though there are many types of CPO models, only a few studies include CPO calculations due to the complexity and computational cost. Here, we implemented an extended version of the CPO model D-Rex into the open-source community geodynamics code ASPECT. We show that the implementation is correct, how to use it, and that it is feasible and important to use in large 3D models. We also show that it is important to calculate CPO, especially for models focusing on plate boundary of smaller scale flow because the resulting fast axis directions can greatly deviate from the flow direction. The added infrastructure will also allow for future enhancement, testing, and even replacement of the CPO model.},
year = {2021}
}


@article{weinberg:schmeling:1992,
 title={{Polydiapirs: multiwavelength gravity structures}},
 author={R.F. Weinberg and H. Schmeling},
 journal={Journal of Structural Geology},
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}


@book{ramberg:1981,
Author = {H. Ramberg},
Publisher = {Academic Press, London, 214pp.},
Title = {Gravity, Deformation, and the Earth's Crust: In Theory, Experiments and Geological Application},
Year = {1981}
}

@book{jackson:hudec:2017,
Author = {M. Jackson and M. Hudec},
Publisher={Cambridge: Cambridge University Press},
title={Salt Tectonics: Principles and Practice},
doi={10.1017/9781139003988},
year={2017}
}

@article{schmalholz:2011,
 title={{A simple analytical solution for slab detachment}},
 author={S. M. Schmalholz},
 journal=epsl,
 volume={304},
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 pages={45--54},
 year={2011}
}

@Article{hillebrand:etal:2014,
AUTHOR = {Hillebrand, B. and Thieulot, C. and Geenen, T. and van den Berg, A. P. and Spakman, W.},
TITLE = {Using the level set method in geodynamical modeling of multi-material flows and {E}arth's free surface},
JOURNAL = {Solid Earth},
VOLUME = {5},
YEAR = {2014},
NUMBER = {2},
PAGES = {1087--1098},
URL = {https://www.solid-earth.net/5/1087/2014/},
DOI = {10.5194/se-5-1087-2014}
}


@article{glerum:etal:2018,
TITLE = {Nonlinear viscoplasticity in {ASPECT}: benchmarking and applications to subduction},
 author={A. Glerum and C. Thieulot and M. Fraters and C. Blom and W. Spakman},
 journal={Solid Earth},
 volume={9},
NUMBER = {2},
 pages={267--294},
DOI = {10.5194/se-9-267-2018},
 year={2018}
}

@article{vanhunen:allen:2011,
 title={{Continental collision and slab break-off: A comparison of 3-D numerical models with observations}},
 author={J. {van Hunen} and M.B. Allen},
 journal=epsl,
 volume={302},
 pages={27-37},
 year={2011}
}

@article{wortel:spakman:2000,
 title={{Subduction and slab detachment in the Mediterranean-Carpathian region}},
 author={M.J.R. Wortel and W. Spakman},
 journal={Science},
 volume={290},
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 pages={1910-1917},
 year={2000}
}

@article{garzanti:etal:2018,
title = {Slab breakoff: A critical appraisal of a geological theory as applied in space and time},
author = {E. Garzanti and G. Radeff and M.G. Malus{\`a}},
journal = {Earth-Science Reviews},
volume = {177},
pages = {303--319},
year = {2018},
doi = {10.1016/j.earscirev.2017.11.012},
}

@Misc{thieulot:2019,
  author = {C. Thieulot},
  title  = {The Finite Element Method in Geodynamics},
  url    = {https://github.com/cedrict/fieldstone/blob/master/manual.pdf},
  year   = {2019}
}

@incollection{john:knobloch:2006,
  doi = {10.1007/978-3-540-34288-5_27},
  publisher = {Springer Berlin Heidelberg},
  pages = {336--344},
  year = {2006},
  author = {Volker John and Petr Knobloch},
  title = {On Discontinuity{\textemdash}Capturing Methods for Convection{\textemdash}Diffusion Equations},
  booktitle = {Numerical Mathematics and Advanced Applications}
}

@Misc{clevenger:heister:2019,
  author =       {Thomas C. Clevenger and Timo Heister},
  title =        {deal.{II} tutorial program step-63, \url{http://www.dealii.org/developer/doxygen/deal.II/step_63.html}},
  year = 2019
}

@article{chri92,
 title={{An Eulerian technique for thermomechanical modeling of lithospheric extension}},
 author={R.R. Christensen},
 journal=jgr,
 volume={97},
 number={B2},
 pages={2015--2036},
 year={1992}
}

@article{cibi15,
 title={{Geodynamics of trench advance: Insights from a Philippine-Sea-style geometry}},
 author={H. {\v C}{\'i}{\v z}kov{\'a} and C.R. Bina},
 journal=epsl,
 volume={430},
 number={},
 pages={408--415},
 doi={10.1016/j.epsl.2015.07.004},
 year={2015}
}

@article{cibi13,
 title={{Effects of mantle and subduction-interface rheologies on slab stagnation and trench rollback}},
 author={H. {\v C}{\'i}{\v z}kov{\'a} and C.R. Bina},
 journal=epsl,
 volume={379},
 number={},
 pages={95--103},
 doi={10.1016/j.epsl.2013.08.011},
 year={2013}
}

@article{vavv02,
 title={{On the role of subducting oceanic plateaus in the development of shallow flat subduction}},
 author={J. van Hunen and A.P. van den Berg and N.J. Vlaar},
 journal={Tectonophysics},
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 year={2002}
}

@article{buiter:etal:2016,
 title={{Benchmarking numerical models of brittle thrust wedges}},
 author={S.J.H. Buiter and G. Schreurs and M. Albertz and T.V. Gerya and B. Kaus and W. Landry and L. le Pourhiet and Y. Mishin and D.L. Egholm and M. Cooke and B. Maillot and C. Thieulot and T. Crook and D. May and P. Souloumiac and C. Beaumont},
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 doi={10.1016/j.jsg.2016.03.003},
 year={2016}
}

@article{ramberg:1968,
Author = {Hans Ramberg},
Journal = {Phys. Earth Planet. Interiors},
Pages = {427--447},
Title = {Instability of layered systems in the field of gravity},
Volume = {1},
Year = {1968}}


@Article{clevenger:heister:2021,
  Title                    = {Comparison Between Algebraic and Matrix-free Geometric Multigrid for a {S}tokes Problem on an Adaptive Mesh with Variable Viscosity},
  Author                   = {Thomas C. Clevenger and Timo Heister},
  Journal                  = {Numerical Linear Algebra with Applications},
  Year                     = {2021},
  Month                    = mar,
  Doi                      = {10.1002/nla.2375},
  Publisher                = {Wiley},
  Url                      = {https://arxiv.org/abs/1907.06696}
}

@Article{clevenger:etal:2020,
  Title                    = {A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM},
  Author                   = {Thomas C. Clevenger and Timo Heister and Guido Kanschat and Martin Kronbichler},
  Journal                  = {ACM Trans. Math. Softw.},
  Year                     = {2020},
  Month                    = dec,
  Number                   = {1},
  Volume                   = {47},
  Doi                      = {10.1145/3425193},
  Url                      = {https://arxiv.org/abs/1904.03317}
}

@article{gassmoller:etal:2020,
  title={On formulations of compressible mantle convection},
  author={Gassm{\"o}ller, Rene and Dannberg, Juliane and Bangerth, Wolfgang and Heister, Timo and Myhill, Robert},
  journal={Geophysical Journal International},
  volume={221},
  number={2},
  pages={1264--1280},
  year={2020},
  publisher={Oxford University Press},
  doi={10.1093/gji/ggaa078},
  url={https://doi.org/10.1093/gji/ggaa078}
}

@article{gassmoller:etal:2019,
  title={Evaluating the accuracy of hybrid finite element/particle-in-cell methods for modelling incompressible Stokes flow},
  author={Gassm{\"o}ller, Rene and Lokavarapu, Harsha and Bangerth, Wolfgang and Puckett, Elbridge Gerry},
  journal={Geophysical Journal International},
  volume={219},
  number={3},
  pages={1915--1938},
  year={2019},
  publisher={Oxford University Press},
  doi = {10.1093/gji/ggz405}
}

@article{Liu2019,
  doi = {10.1093/gji/ggz036},
  url = {https://doi.org/10.1093/gji/ggz036},
  year = {2019},
  month = jan,
  publisher = {Oxford University Press ({OUP})},
  volume = {217},
  number = {1},
  pages = {650--667},
  author = {Shangxin Liu and Scott D King},
  title = {A benchmark study of incompressible Stokes flow in a 3-D spherical shell using {ASPECT}},
  journal = {Geophysical Journal International}
}

@Article{Fraters2019c,
AUTHOR = {Fraters, M. and Thieulot, C. and van den Berg, A. and Spakman, W.},
TITLE = {The Geodynamic World Builder: a solution for complex initial conditions in numerical modeling},
JOURNAL = {Solid Earth},
VOLUME = {10},
YEAR = {2019},
NUMBER = {5},
PAGES = {1785--1807},
URL = {https://www.solid-earth.net/10/1785/2019/},
DOI = {10.5194/se-10-1785-2019}
}


@software{fraters_menno_2020_3900603,
  author       = {Fraters, Menno},
  title        = {The Geodynamic World Builder},
  month        = jun,
  year         = 2020,
  publisher    = {Zenodo},
  version      = {v0.3.0},
  doi          = {10.5281/zenodo.3900603},
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