MFEM

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MFEM
The logo of MFEM shows some of its features: curvilinear elements, adaptive mesh refinement and parallel partitioning.
Stable release	4.10 / September 1, 2026; 51 days ago (2026-09-01)
Written in	C++
Operating system	Linux, MacOS, Microsoft Windows
Type	Finite element analysis
License	BSD
Website	mfem.org
Repository	https://github.com/mfem/mfem

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.

The library consists of C++ classes that serve as building blocks for developing finite element solvers applicable to problems of fluid dynamics, structural mechanics, electromagnetics, radiative transfer and many other.

Features

Some of the features of MFEM include

• 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.
• 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

• List of computational fluid dynamics software
• List of finite element software packages
• List of numerical analysis software
• List of numerical libraries
• List of open-source mathematical libraries

References

External links

• Official website
  • mfem on GitHub Tutorial Publications Seminar