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