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Finite Element Discretization Library
__
_ __ ___ / _| ___ _ __ ___
| '_ ` _ \ | |_ / _ \| '_ ` _ \
| | | | | || _|| __/| | | | | |
|_| |_| |_||_| \___||_| |_| |_|
http://mfem.org
Version 3.2, released on June 30, 2016
======================================
Dynamic AMR with parallel load balancing, derefinement of non-conforming meshes
-------------------------------------------------------------------------------
- Parallel non-conforming meshes can now be load balanced at any time by calling
ParMesh::Rebalance(). Elements of the mesh are redistributed in such a way
that each processor gets approximately the same number of elements (plus minus
one element). Partitioning is done by splitting a sequence of space-filling
(Hilbert) curves defined on the refinement octrees.
- Isotropically refined non-conforming meshes can now be derefined, both in
serial and in parallel, based on a per-element error measure and a
derefinement threshold. See the class ThresholdDerefiner.
- Following an arbitrary mesh change (uniform/general conforming/non-conforming
refinement, derefinement, load balancing), the FiniteElementSpace and
associated GridFunctions can be updated by interpolating or redistributing the
previous function values based on the new state of the mesh. (Internally this
is implemented through a transformation matrix that is constructed in the
FiniteElementSpace.) The user interface is quite simple:
pmesh.Rebalance(); // or GeneralRefinement, or GeneralDerefinement
fespace.Update(); // calculate a transformation matrix (by default)
x.Update(); // apply the transformation to the GridFunction
z.Update(); // apply it again
- New abstractions are available for error estimation and general mesh
operations such as refinement and derefinement. See the base classes
ErrorEstimator and MeshOperator and their descendants.
- The above features are illustrated in the new Example 15 (see also Example 6).
Tensor-based high-performance FEM operator assembly and evaluation
------------------------------------------------------------------
- Added support for high-performance, tensor-based efficient assembly and
evaluation of high-order operators.
- A number of new header files have been added to the fem/, linalg/ and mesh/
directories. They start with the prefix "t" to indicate the (heavy) use of C++
templating, similar to how the prefix "p" denotes "parallel". All the code for
the new HPC FE assembly/evaluation algorithms is fully implemented in these
header files. Note that the new interface is optional and only enabled if the
mfem-performance.hpp header is included instead of mfem.hpp. This is an
initial, reference implementation.
- Similarly to the serial-to-parallel (ex1.cpp-to-ex1p.cpp) transition, an
existing MFEM-based applications has to be transitioned to the new HPC
interface. This is illustrated in two new example codes which are the
high-performance versions of Example 1/1p. See miniapps/performance.
- The new interface reduces local operator assembly/evaluation to batched small
dense tensor contraction operations. For high performance, the sizes of these
contractions should be known at compile time, so the BilinearForm object needs
to have detailed knowledge about the mesh, the finite element space, the
quadrature rule and the integrator to be assembled. This required a new
interface, that supports a subset of the current (general) coefficients and
bilinear form integrators, including variable coefficients and mass and
diffusion integrators. It is possible to use the old and the new HPC interface
side-by-side, see the HPC version of Example 1/1p in miniapps/performance.
Advanced FEM on parallel non-conforming meshes
----------------------------------------------
- Added support for discontinuous Galerkin methods on parallel non-conforming
meshes, see Examples 9p and 14p.
- Added support for hybridization on parallel non-conforming meshes, see
Example 4p.
New and improved linear solvers
-------------------------------
- Added a wrapper for the real-valued, double precision solver in SuperLU_DIST
which is a sparse direct solver for distributed memory architectures. As such
it can only be enabled along with MFEM_USE_MPI. When MFEM is configured with
MFEM_USE_SUPERLU, one also needs to alter the version of METIS, since SuperLU
requires ParMETIS (which comes packaged with a serial version of METIS). See
http://http://crd-legacy.lbl.gov/~xiaoye/SuperLU for SuperLU_DIST details.
- Added a wrapper for the KLU solver in SuiteSparse see
http://faculty.cse.tamu.edu/davis/suitesparse.html for details of KLU.
If MFEM was configured with MFEM_USE_SUITESPARSE, one must now also link
against the klu and btf libraries in SuiteSparse, see config/defaults.mk.
New and updated examples and miniapps
-------------------------------------
- Four new serial and parallel example codes that demonstrate:
* high-performance finite element operator assembly/evaluation (Example 1/1p
in miniapps/performance)
* adaptive refinement, derefinement and load balancing (in parallel) on
non-conforming meshes (Example 15/15p)
- Examples 4p now supports hybridization on non-conforming meshes.
- Examples 9p and 14p now work on non-conforming meshes.
- Example 11p now has optional support for the SuperLU parallel direct solver.
- Added several new options and example runs in the Volta and Tesla miniapps,
including support for Halbach arrays of permanent magnets.
Miscellaneous
-------------
- Added "check" and "test" targets to the top-level makefile. The former does a
quick check by running Example 1/1p, while the latter does a more thorough
verification of the build by running all example codes and miniapps.
- Added support for 2D and 3D meshes generated by Gmsh (http://gmsh.info), both
in ASCII and binary formats.
- Added a reader for Cubit meshes in the Genesis (NetCDF) format. Currently
supported are linear and quadratic tet and hex meshes.
- Added support for boundary bilinear form integrators when using hybridization.
- Added support for Robin boundary conditions for DG in BoundaryMassIntegrator.
- Moved all reference element connectivity descriptions, such as element-edge,
element-face, etc. to the template class Geometry::Constants<Geometry::Type>.
- Added support for secure socket communications in class socketstream based on
the GnuTLS library, see INSTALL for more details.
- Renamed config/user.mk.in to config/defaults.mk and moved all the default
build settings from the makefile there.
- Added configurable variables AR, ARFLAGS, and RANLIB in the build system. The
defaults for Mac OS X will suppress the "has no symbols" warnings.
- Various other simplifications, extensions, and bugfixes in the code.
API changes
-----------
- Changes in class Mesh
* Two-level state functionality was removed, including: UseTwoLevelState(int),
SetState(int), GetState(), GetNumFineElems(int), GetRefinementType(int),
GetFineElem(int, int) and GetFineElemTrans(int, int).
- Changes in class FiniteElementSpace
* BuildElementToDofTable() is now protected, and it is always called.
* GlobalRestrictionMatrix(FiniteElementSpace*, int) was removed, but the
prolongation operator can still be accessed via GetUpdateOperator() after
mesh refinement and a call to Update(true).
- Changes in methods related to non-conforming meshes and spaces
* The methods LinearForm::ConformingAssemble, BilinearForm::ConformingAssemble
and GridFunction::ConformingProlongate/ConformingProject are now hidden
inside (Par)BilinearForm::FormLinearSystem and RecoverFEMSolution.
* The conforming prolongation/restriction matrices can still be accessed via
FiniteElementSpace::GetConformingProlongation()/GetConformingRestriction().
- Changes in classes GridFunction and ParGridFunction
* Renamed Update((Par)FiniteElementSpace*, Vector&, int) to MakeRef.
* Renamed Update((Par)FiniteElementSpace*) to SetSpace.
Version 3.1, released on Feb 16, 2016
=====================================
Substantially improved non-conforming adaptive mesh refinement
--------------------------------------------------------------
- Added support for parallel non-conforming mesh refinement, including a new
example code with adaptive mesh refinement for the Laplace problem (Example
6p). Most of the example codes can now work on non-conforming meshes in serial
and in parallel.
- Added simple ZZ-type error estimators, including an anisotropic one in serial,
and one based on Raviart-Thomas flux projection in parallel, to the AMR
examples 6 and 6p. These seem to perform quite reasonably, even for
higher-order discretizations on 2D, 3D and surface meshes.
- The MFEM mesh format has a new version(1.1) that supports non-conforming
meshes. The format is an extension of 1.0 that includes a vertex_parents and
an optional coarse_elements section. See the example meshes amr-quad.mesh,
amr-hex.mesh and fichera-amr.mesh in the data/ directory.
- Added support for DG discretizations on non-conforming meshes in serial. See
the sample runs in Example 14.
- A new function, ParGridFunction::ParallelProject() directly returns a hypre
vector restricted to the true degrees of freedom (and supports non-conforming
meshes). In most cases, this should be preferred to the ParallelAverage()
function.
- When using non-conforming meshes, the essential boundary condition elimination
has to be applied at the end of the (parallel) assembly. Furthermore, in
serial, the bilinear form needs to call ConformingAssemble() after assembly
and the solution should call ConformingProlongate() after the solve (these are
not necessary in parallel). Note that these could also be handled
automatically by the new FEM <-> linear system interface, see below.
General finite element spaces and solvers on surfaces/skeletons
---------------------------------------------------------------
- Added support for arbitrary high-order finite element spaces on the mesh
skeleton (the faces, edges, and vertices between mesh elements) that are the
traces of the H1 and H(curl) spaces defined on the mesh. With the previously
existing H(div) trace space, the full de Rham sequence on the skeleton is now
supported.
- Updated integrators and discrete interpolators to work correctly for H(curl)
and H(div) spaces defined on surface meshes, or the mesh skeleton.
Hybridization, static condensation and a new FEM <-> linear system interface
----------------------------------------------------------------------------
- The BilinearForm/ParBilinearForm classes now support static condensation, as
well as hybridization (based on given constraint space and trace integrator).
These are illustrated in Examples 1-4.
- Added a new interface for transitioning between the finite element objects and
their corresponding linear algebra objects, which supports abstracts
transformations such as: parallel assembly, eliminating boundary conditions,
applying conforming constraints for non-conforming AMR, hybridization, static
condensation, back substitution, etc. Changed several of the example codes
accordingly.
New eigensolvers and improved solvers
-------------------------------------
- Added support for the scalable Locally Optimal Block Preconditioned Conjugate
Gradient (LOBPCG) eigenvalue solver and the Auxiliary-space Maxwell
Eigensolver (AME) from hypre.
- Added 3 new example codes to demonstrate the LOBPCG and AME applications to
the Laplace (Example 11p), Elasticity (Example 12p) and Maxwell (Example 13p)
eigenproblems.
- Updated the HypreAMS and HypreADS solvers to work for H(curl) and H(div)
problems defined on surface meshes, or the mesh skeleton.
- Added support for a discretization-enhanced version of hypre's BoomerAMG
designed specifically for linear elasticity problems, see Example 2p.
- The HypreAMS solver can now be used to solve singular curl-curl problems.
New and updated examples
------------------------
- Six new serial and parallel example codes that demonstrate:
* parallel conforming and non-conforming adaptive mesh refinement (Example 6p)
* hypre's LOBPCG eigensolver for the Laplace eigenproblem (Example 11p)
* hypre's LOBPCG eigensolver for the elasticity eigenproblem (Example 12p)
* hypre's AME eigensolver for the Maxwell eigenproblem (Example 13p)
* DG diffusion discretizations for the Laplace equation (Example 14/14p)
- Examples 1-4 now support static condensation, and Example 4/4p supports H(div)
hybridization, leading to much improved solve times. These examples also
illustrate the new interface for linear system assembly (see also Examples 6
and 7).
- Significantly improved the DPG preconditioner in Example 8p, which is now
scalable in parallel and uses the HypreADS solver to precondition the
interfacial block as an H(div) problem reduced to the mesh skeleton.
- Example 7/7p has a new option, -amr, showcasing simple local conforming and
non-conforming mesh refinements.
- Example 3/3p now works in both 2D and 3D.
New miniapps
------------
- Electromagnetic miniapps:
* Volta - simple electrostatics simulation code.
* Tesla - simple magnetostatics simulation code.
See also the README file in miniapps/electromagnetics.
- Meshing miniapps:
* Mobius Strip - generate various Mobius strip-like meshes.
* Klein Bottle - generate three types of Klein bottle surfaces.
* Mesh Explorer - visualize and manipulate meshes.
See also the README file in miniapps/meshing.
Miscellaneous
-------------
- Moved MFEM from Google Code to GitHub. New website: http://mfem.org.
- Formatted the code with Artistic Style, see the "make style" target.
- Added support for 64-bit integers in global size variables, enabling
simulations with >2B unknowns. (This requires that hypre is configured with
the --enable-bigint option.)
- Added optional support for the Gecko graph reordering library.
- Updated the implementation of some operations in DenseMatrix for better
auto-vectorization. Added a new class LUFactors that computes LU factorization
(with pivoting) and perform various operations with the factored data.
- Various other simplifications, extensions, and bugfixes in the code.
Version 3.0, released on Jan 26, 2015
=====================================
Improved documentation and build system
---------------------------------------
- Added interactive example documentation in examples/README.html. This should
be the starting point for new users interested in MFEM's features.
- New Doxygen-based code documentation. Due to its size, users are expected to
build this documentation themselves by typing make in the doc/ directory.
(Alternatively, the pre-build documentation can be browsed online).
- New build system, based on GNU make which consists of configuration and build
steps: "make config; make". The MFEM build options are exported, and can be
included in external makefiles. Library installation is also supported. See
"make help" and the INSTALL file for details.
- To build the examples use 'make' or 'make -j <np>' in the examples/ directory.
Based on the current MFEM configuration this will build the serial or the
parallel examples using the same config options as the library.
New and updated examples
------------------------
- Six new serial/parallel example codes that demonstrate:
* mixed pressure-velocity FEM for Darcy (Example 5)
* non-conforming adaptive mesh refinement for Laplace (Example 6)
* Laplace problem on a surface (Example 7)
* Discontinuous Petrov-Galerkin (DPG) for Laplace (Example 8)
* Discontinuous Galerkin (DG) time-dependent advection (Example 9)
* time-dependent implicit nonlinear elasticity (Example 10)
- Added command line options to all examples and modified several of the serial
ones to optionally use the serial direct solver UMFPACK.
- Simplified the elimination of Dirichlet boundary conditions in parallel.
- Grouped and documented the example code features in examples/README.html
Serial non-conforming adaptive mesh refinement
----------------------------------------------
- Added support for general, isotropic and anisotropic, local non-conforming
mesh refinement (using hanging nodes) in 2D and 3D, on quadrilateral,
triangular and hexahedral meshes. High-order curved and surface meshes are
also supported.
- The current implementation supports serial meshes (see example 6). Extension
to parallel meshes is in active development.
- The mesh is refined with Mesh::GeneralRefinement. The non-conforming mesh is
represented as a mesh that is "cut" along non-conforming edges and faces in
the internal NCMesh class. The only thing the user has to do to obtain a
continuous solution is to call BilinearForm::ConformingAssemble and
GridFunction::ConformingProlongate before and after solving the linear system.
The finite element space and grid functions are then updated with
FiniteElementSpace::UpdateAndInterpolate().
Time-dependent problems, non-linear operators and ODE integrators
-----------------------------------------------------------------
- Added new abstract base class TimeDependentOperator and a set of explicit
Runge-Kutta time integration classes in linalg/ode.?pp.
- Added classes for diagonally implicit Runge-Kutta (DIRK) time integrators
based on the ImplicitSolve() method of TimeDependentOperator.
- Extended all coefficient classes to be optionally time-dependent.
- Added classes for general nonlinear finite element operators (deriving from
NonlinearForm/ParNonlinearForm). Such operators have assemble-based action and
also support assembly of the gradient operator to enable inversion with Newton
iteration.
Discontinuous Galerkin and Discontinuous Petrov-Galerkin methods
----------------------------------------------------------------
- Added support Discontinuous Galerkin (DG) face integrators in parallel by
extending ParMesh with information for face-neighboring processors. Added DG
support in ParFiniteElementSpace, ParBilinearForm and ParGridFunction.
- Introduced a new class of integrators for forms defined on the faces of the
mesh (including interior and boundary faces), mainly intended for hybrid
methods like HDG and DPG that employ facet (numerical trace) spaces.
Block systems and rectangular operators
---------------------------------------
- Added classes BlockOperator, BlockVector and BlockMatrix for handling block
systems with different components (e.g., pressure and velocity).
- New abstract class AbstractSparseMatrix, between Matrix and SparseMatrix
- Modified class Operator to have two separate sizes: "height" and "width" for
the output and input sizes, respectively. The Size method was removed.
- For backward compatibility, the method Size is still present in the classes
DenseMatrix (returns width as before), SparseMatrix (returns height as
before), DenseMatrixInverse (square matrix) and BilinearForm (square matrix).
Linear and non-linear solvers
-----------------------------
- New abstract class Solver, with sub-classes for sparse smoothers, dense matrix
inverse, iterative solvers (Krylov methods and Newton) and the hypre solvers.
All Krylov methods were consolidated in linalg/solver.cpp and extended to work
in parallel.
- Added several new classes of solvers and smoothers:
* serial sparse direct solvers from the SuiteSparse library (UMFPACK)
* HypreSmoother, giving access to the parallel ParCSR smoothers in hypre
* polynomial smoothers: Chebyshev, Taubin and FIR
* stationary linear iteration (SLI)
* quadratic single linearly-constrained optimization problems with bounds
Miscellaneous
-------------
- Wrapped all classes/functions/objects in a namespace called "mfem".
- Automated the creation of quadrature rules to enable on-demand generation of
arbitrary order rules for all geometries 1D/2D/3D geometries.
- Added support for saving collections of grid functions in format suitable for
visualization with VisIt (visit.llnl.gov). See examples 5 and 9.
- Added support for 1D, surface and topologically periodic meshes, as well as a
simple inline mesh format. See the data/ directory for examples.
- Added support for serial mesh optimization using the Mesquite mesh quality
improvement toolkit (see mesh/mesquite.?pp and INSTALL for details).
- Made sure that MFEM can work in parallel with empty processors and with any
MPI communicator.
- Improved high-order Bernstein basis support.
- Support for high-resolution timers (e.g. POSIX clocks).
- Improved error messages with several macros, such as MFEM_ABORT, MFEM_VERIFY,
MFEM_ASSERT, MFEM_WARNING, etc.
- Improved portability for Windows (Visual Studio) and Mac OS X.
- Various simplifications, extensions, and bugfixes in the code.
Version 2.0, released on Nov 18, 2011
=====================================
Arbitrary order finite element spaces
-------------------------------------
- Added support for arbitrary high-order finite element spaces through the new
classes H1_FECollection, L2_FECollection, RT_FECollection and ND_FECollection.
These are based on a number of new FiniteElement sub-classes H1_*, L2_*, RT_*
and ND_* elements of arbitrary order on all types of reference elements.
- The classes implement H1-conforming, L2-discontinuous, H(div)-conforming
Raviart-Thomas and H(curl)-conforming Nedelec elements on triangular,
quadrilateral, tetrahedral and hexahedral meshes. The only restriction on the
order of the spaces is the availability of the required quadrature rules.
NURBS meshes and discretization spaces
--------------------------------------
- Added a collection of classes for serial and parallel meshes and
discretization spaces using Non-uniform rational B-splines (NURBS) basis
functions (files mesh/nurbs.?pp).
- The Mesh class supports the NURBS-specific refinement functions: KnotInsert
and DegreeElevate. Example NURBS meshes can found in the 'data' directory with
file names *-nurbs.mesh including an exact non-degenerate disc
(disc-nurbs.mesh) and exact non-degenerate ball (ball-nurbs.mesh).
- We can handle arbitrary NURBS or standard, non-NURBS, finite element spaces on
NURBS meshes. However, a NURBS finite element space requires an underlying
NURBS mesh. Refinement of parallel NURBS meshes is not supported yet.
Discrete gradient, curl, etc. matrices
--------------------------------------
- Added a new class, DiscreteLinearOperator, that facilitates the construction
of matrix representations for linear operators like gradient, curl, embedding,
projection, etc. The corresponding local "interpolators" are similar to
bilinear form integrators and derive from base class DiscreteInterpolator.
Current interpolators include GradientInterpolator, IdentityInterpolator,
CurlInterpolator and DivergenceInterpolator.
- Also available is a parallel version of DiscreteLinearOperator, which
assembles parallel topological matrices (such as the discrete gradient, curl,
etc.) in hypre's ParCSR format.
New integrators
---------------
- New linear (r.h.s.) integrator VectorFEBoundaryFluxLFIntegrator for
assembling (u, v.n) on the boundary for scalar u and v in an RT space.
- New bilinear integrator VectorFECurlIntegrator for assembling (curl u, v) for
u in a ND space and v in an RT space.
New and updated examples
------------------------
- Added a new serial/parallel Example code 4/4p, which solves a 2D or 3D H(Div)
diffusion problem using the Raviart-Thomas finite elements. In parallel, the
linear system is solved with the brand-new Auxiliary-space Divergence Solver
(ADS) in hypre.
- Modified Example 1 to use isoparametric discretization (use the FE space from
the mesh) including NURBS meshes and spaces. Updated Example 2 to support
arbitrary order spaces. Updated all examples to work with NURBS meshes and
spaces, as well as to not use projection onto discontinuous polynomial spaces
for visualization (this is now handled directly in GLVis when necessary).
- In all examples, switched to a uniform "solution" socket data type instead of
the various previous "*_gf_data" data types.
- In the parallel examples, switched to parallel mesh and solution output, as
well as to the new parallel socket format in place of PrintAsOne/SaveAsOne.
New hypre solvers
-----------------
- The parallel MFEM build now requires hypre 2.8.0b or newer.
- Extended HypreAMS and HypreADS to support (arbitrary) high-order ND/RT spaces,
by internally constructing the high-order ParDiscreteLinearOperator gradient,
curl and interpolation matrices. This makes the linear solve in Example 3p and
4p significantly faster than before. Extended the HypreAMS object to also work
for 2D H(div) problems.
Miscellaneous
-------------
- Added new class socketstream implementing two-way tcp/ip socket communications
in the framework of C++ streams. Added new class socketserver implementing
tcp/ip server functionality: listen on a given port for incoming connections,
and accept them by assigning the new connection to a socketstream. These new
classes are meant to replace the classes isockstream and osockstream. They
allow MFEM code to update the mesh and solution via a single socket connection
to a GLVis window.
- Added new Mesh and GridFunction constructors that combine multiple Mesh and
GridFunction objects into one object. These are used in GLVis to visualize
data saved in parallel. Removed obsolete code related to reading of parallel
disjoint meshes.
- Added more quadrature rules on triangles and tetrahedra.
- Basic experimental OpenMP support (disabled by default). When enabled, OpenMP
code is used for local matrix assembly, sparse matrix-vector product, and some
vector operations.
- Added support for METIS 5.0 (not the default, see INSTALL).
- Various simplifications, extensions, and bugfixes in the code.
Version 1.2, released on Apr 08, 2011
=====================================
Parallel MPI-based version of the library based on hypre
--------------------------------------------------------
- New MPI parallel version of the library based on the ParCSR parallel matrix
format from hypre and the metis graph partitioning library. This version
supports parallel local refinement and parallel curved meshes, as well as
several solvers from hypre.
New serial and parallel examples
--------------------------------
- Added a new example code describing an electromagnetic diffusion problem
discretized with lowest order Nedelec finite elements (Example 3).
- Added parallel versions of all examples codes (files ex1p.cpp, ex2p.cpp and
ex3p.cpp) based on hypre's BoomerAMG and AMS preconditioners.
Miscellaneous
-------------
- Added support for saving and reading linear and curved quadratic meshes in VTK
format. The format is automatically recognized when opening a mesh file, and
the boundary is reconstructed based on the actual domain boundary.
- The 'data' directory now contains a collection of various mesh files in the
MFEM and VTK formats, including curved meshes and the mesh files that were
previously in the 'examples' directory.
- Updated the default integration rule order for most of the linear form
integrators.
- Added support for cubic hex elements.
- Bugfixes in the face orientation of 3D RT0 elements and in the VectorFEDomain
linear form integrator.
- Various small fixes and styling updates.
Version 1.1, released on Sep 13, 2010
=====================================
New MFEM format for general meshes
----------------------------------
- New MFEM mesh v1.0 format with uniform structure for any dimension and support
for curved meshes including in 3D. Class Mesh will recognize and read the new
format (in addition to all previously used formats) and Mesh::Print uses the
new format by default. The old print function was renamed to Mesh::PrintXG.
New elasticity example
----------------------
- Added an example code for linear elasticity with (high-order) vector finite
elements (Example 2).
Miscellaneous
-------------
- Added Mesh::PrintVTK and GridFunction::SaveVTK methods for output in VTK
format.
- Implemented GeometryRefiner::Refine for CUBE and TETRAHEDRON geometries. This
allows for saving curved meshes in the VTK format.
- Added SConstruct file for mfem/examples.
- Various small fixes and styling updates.
Version 1.0, released on Jul 21, 2010
=====================================
- Uploaded to http://mfem.googlecode.com.
- Initial release.