Merge remote-tracking branch 'dealii/master' into feature_p4est_find_…

…partition

doc/doxygen/references.bib

@@ -122,8 +122,8 @@ @phdthesis{Bec95
   author =  {R. Becker},
   title =   {An Adaptive Finite Element Method for the Incompressible {N}avier--{S}tokes Equations on Time-dependent Domains},
   school =  {Universit{\"a}t Heidelberg},
-  type =    {Dissertation},
-  year =    1995
+  year =    1995,
+  url = {https://katalog.ub.uni-heidelberg.de/titel/9608091}
 }
 
 @techreport{Bec98,
@@ -1199,6 +1199,52 @@ @article{Benson2002
   url =       {https://doi.org/10.1023/a:1020533003783}
 }
 
+% ------------------------------------
+% Step 82
+% ------------------------------------
+
+@article{Pryer2014,
+ author = {T. Pryer},
+ title = {Discontinuous {G}alerkin methods for the p-biharmonic equation from a discrete variational perspective},
+ journal = {Electronic Transactions of Numerical Analysis},
+ volume = {41},
+ pages = {328--349},
+ year = {2014}
+}
+
+@article{Bonito2021,
+  author = {A. Bonito and R.H. Nochetto and D. Ntogkas},
+  title = {{DG} Approach to Large Bending Plate Deformations with Isometry Constraint},
+  journal = {Mathematical Models and Methods in Applied Sciences},
+  volume = {31},
+  number = {1},
+  pages = {133--175},
+  year = {2021}
+}
+
+@book{DiPietro2011,
+  author = {D.A. Di Pietro and A. Ern},
+  title = {Mathematical Aspects of Discontinuous {G}alerkin Methods},
+  series = {Math{\'e}matiques et Applications},
+  publisher={Springer Berlin Heidelberg},
+  year={2011},
+}
+
+@article{BGNY2020,
+  title={{LDG} approximation of large deformations of prestrained plates},
+  author={A. Bonito and D. Guignard and R.H. Nochetto and S. Yang},
+  journal={To appear in Journal of Computational Physics},
+  year={2021},
+  url = {https://doi.org/10.1016/j.jcp.2021.110719}
+}
+
+@article{BGNY2021,
+  title={Numerical analysis of the {LDG} method for large deformations of prestrained plates},
+  author={A. Bonito and D. Guignard and R.H. Nochetto and S. Yang},
+  journal={Submitted},
+  year={2021},
+  url = {https://arxiv.org/abs/2106.13877}
+}
 
 % ------------------------------------
 % References used elsewhere
@@ -1478,3 +1524,43 @@ @article{kronbichler2019multigrid
   year={2019},
   publisher={ACM New York, NY, USA}
 }
+
+@article{Boffi2011,
+  doi = {10.1007/s10915-011-9549-4},
+  url = {https://doi.org/10.1007/s10915-011-9549-4},
+  year = {2011},
+  month = nov,
+  publisher = {Springer Science and Business Media {LLC}},
+  volume = {52},
+  number = {2},
+  pages = {383--400},
+  author = {D. Boffi and N. Cavallini and F. Gardini and L. Gastaldi},
+  title = {Local Mass Conservation of Stokes Finite Elements},
+  journal = {Journal of Scientific Computing}
+}
+
+@article{Taylor73,
+title={{A numerical solution of the Navier-Stokes equations using the finite element technique}},
+author={C. Taylor and P. Hood},
+journal={Comput. Fluids},
+volume={1},
+number={},
+pages={73--100},
+year={1973},
+doi = {10.1016/0045-7930(73)90027-3},
+url = {https://doi.org/10.1016/0045-7930(73)90027-3}
+}
+
+@article{Bercovier1979,
+  doi = {10.1007/bf01399555},
+  url = {https://doi.org/10.1007/bf01399555},
+  year = {1979},
+  month = jun,
+  publisher = {Springer Science and Business Media {LLC}},
+  volume = {33},
+  number = {2},
+  pages = {211--224},
+  author = {M. Bercovier and O. Pironneau},
+  title = {Error estimates for finite element method solution of the {S}tokes problem in the primitive variables},
+  journal = {Numerische Mathematik}
+}

doc/doxygen/tutorial/tutorial.h.in

@@ -659,6 +659,11 @@
  *       isotropic material penalization (SIMP) formulation.
  *       </td></tr>
  *
+ *   <tr valign="top">
+ *       <td>step-82</td>
+ *        <td> Solving the fourth-order biharmonic equation using a lifting operator approach.
+ *       </td></tr>
+ *
  * </table>
  *
  *
@@ -909,7 +914,8 @@
  *       step-59,
  *       step-61,
  *       step-67,
- *       step-74
+ *       step-74,
+ *       step-82
  *     </td>
  *   </tr>
  *
@@ -1051,7 +1057,8 @@
  *       step-47,
  *       step-46,
  *       step-58,
- *       step-62
+ *       step-62,
+ *       step-82
  *     </td>
  *   </tr>
  *
@@ -1281,7 +1288,10 @@
  *   <tr valign="top">
  *     <td> Fourth-order biharmonic equation
  *     </td>
- *     <td>step-47</td>
+ *     <td>
+ *       step-47, 
+ *       step-82
+ *     </td>
  *   </tr>
  *
  *   <tr valign="top">

doc/news/changes/major/20210917Guignard

@@ -0,0 +1,4 @@
+New: The tutorial program step-82 (local discontinuous Galerkin method
+for the bi-Laplacian problem) has been added.
+<br>
+(Diane Guignard, 2021/09/17)

doc/news/changes/major/20211008tjhei

@@ -0,0 +1,3 @@
+New: The step-49 tutorial now has an extended section about generating meshes from Gmsh with a more interesting example.
+<br>
+(Timo Heister, Sean Ingimarson, 2021/10/08)

doc/news/changes/minor/20211001Gassmoeller

@@ -0,0 +1,3 @@
+Fixed: The FEPointEvaluation class always evaluated a solution starting at the component 0 of the selected vector-valued base element, even if a different component was selected by the caller. This has been fixed to correctly start evaluating at the selected component.
+<br>
+(Rene Gassmoeller, 2021/10/01)

doc/news/changes/minor/20211008Munch

@@ -0,0 +1,3 @@
+New: VectorizedArray can now be constructed from an initializer list.
+<br>
+(Peter Munch, 2021/10/08)

doc/news/changes/minor/20211012Castelli

@@ -0,0 +1,3 @@
+Fixed: The KellyErrorEstimator for 1D can now handle the hp case.
+<br>
+(Fabian Castelli, 2021/10/12)