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Open-source C++ library
MFEM is an
open-source C++ library for solving
partial differential equations using the
finite element method , developed and maintained by researchers at the
Lawrence Livermore National Laboratory and the MFEM open-source community on
GitHub . MFEM is
free software released under a
BSD license .
[1]
The library consists of C++ classes that serve as building blocks for developing finite element solvers applicable to problems of
fluid dynamics ,
[2]
structural mechanics ,
[3]
electromagnetics ,
[4]
radiative transfer
[5] and many other.
Features
Some of the features of MFEM include
[6]
Arbitrary high order finite elements with curved boundaries.
H1 , H(curl) and H(div) conforming, discontinuous (L2 ), and
NURBS finite element spaces.
Local
mesh refinement , both conforming (
simplex meshes) and non-conforming (
quadrilateral /
hexahedral meshes).
Highly scalable
MPI -based parallelism and
GPU acceleration.
[7]
Wide variety of finite element discretization approaches, including
Galerkin ,
discontinuous Galerkin ,
mixed ,
high-order and
isogeometric analysis methods.
Tight integration with the
Hypre parallel linear algebra library.
Many built-in solvers and interfaces to external libraries such as
PETSc ,
SuiteSparse ,
Gmsh , etc.
Accurate and flexible visualization with
VisIt and
ParaView .
Lightweight design and conservative use of C++ templating.
Documentation in the form of examples and mini-applications.
See also
References
^ Auten, Holly.
"The High Value of Open-Source Software" (PDF) . Science & Technology Review . January/February 2018: 5–11.
^ Anderson, Robert W.; Dobrev, Veselin A.; Kolev, Tzanio V.; Rieben, Robert N. (2018).
"High-Order Multi-Material ALE Hydrodynamics" . SIAM Journal on Scientific Computing . 40 (1): B32–B58.
Bibcode :
2018SJSC...40B..32A .
doi :
10.1137/17M1116453 .
OSTI
1474269 .
^ White, D. A.; Stowell, M. L.; Tortorelli, D. A. (2018). "Topological optimization of structures using Fourier representations". Structural and Multidisciplinary Optimization . 58 (3): 1205–1220.
doi :
10.1007/s00158-018-1962-y .
OSTI
1479078 .
S2CID
126093513 .
^ Shiraiwa, S.; Wright, J. C.; Bonoli, P. T.; Kolev, T.; Stowell, M. (23 October 2017).
"RF wave simulation for cold edge plasmas using the MFEM library" . 22 Topical Conference on Radio-Frequency Power in Plasmas . 157 : 03048.
Bibcode :
2017EPJWC.15703048S .
doi :
10.1051/epjconf/201715703048 .
hdl :
1721.1/113307 .
^ Holec, M.; Limpouch, J.; Liska, R.; Weber, S. (10 April 2017). "High‐order discontinuous Galerkin nonlocal transport and energy equations scheme for radiation hydrodynamics". Numerical Methods in Fluids . 83 (10): 779–797.
Bibcode :
2017IJNMF..83..779H .
doi :
10.1002/fld.4288 .
S2CID
125947931 .
^
"MFEM Finite Element Discretization Library" .
^
"MFEM video: Advanced simulation algorithms for HPC applications" .
YouTube .
External links