List of finite element software packages

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This is a list of software packages that implement the finite element method for solving partial differential equations.

Software Features Developer Version Released License Price Platform
Agros2D Multiplatform open source application for the solution of physical problems based on the Hermes library University of West Bohemia 3.2 2014-03-03 GNU GPL Free Linux, Windows
ANSA Pre-processor An advanced CAE pre-processing software for complete model build up. BETA Proprietary commercial software Linux, Mac OS X, Windows
CalculiX It is an Open Source FEA project. The solver uses a partially compatible ABAQUS file format. The pre/post-processor generates input data for many FEA and CFD applications Guido Dhondt, Klaus Wittig 2.14 2018-04-27 GNU GPL Free Linux, Windows
DIANA FEA General purpose finite element package utilised by civil, structural and geotechnical engineers. DIANA FEA BV, The Netherlands 10.1 2016-11-14 Commercial Paid Windows, Linux
deal.II Comprehensive set of tools for finite element codes, scaling from laptops to clusters with 10,000+ cores. Written in C++. Wolfgang Bangerth, Timo Heister, Guido Kanschat, Matthias Maier et al. 9.0 2018-05-12 LGPL Free Linux, Unix, Mac OS X, Windows
DUNE Distributed and Unified Numerics Environment, written in C++ DUNE Developer team 2.4.1 2016-02-29 GPL Version 2 with Run-Time Exception Free Linux, Unix, Mac OS X
Elmer Open source multiphysical simulation software developed by Finnish Ministry of Education's CSC, written primarily in Fortran (written in Fortran90, C and C++) CSC 8.2 2016-03-15 GPL Free Linux, Mac OS X, Windows
FEBio Finite Elements for Biomechanics University of Utah (MRL), Columbia University (MBL) 2.7 April, 2018 Custom Free Linux, Mac OS X, Windows
FEniCS Project Software package developed by American and European researchers with the goal to enable automated solution of differential equations FEniCS Team 1.6.0 2015-07-29 LGPL (Core) & GPL/LGPL (Non-Core)[1] Free Linux, Unix, Mac OS X, Windows
FEATool Multiphysics Matlab and GNU Octave FEM PDE simulation toolbox Precise Simulation 1.8 2018-05-17 Proprietary EULA Free for personal use, up to 2,000 nodes/6,000 unknowns[2] Windows, Mac OS X, Linux, Unix
Femap Finite element pre- and post-processor Siemens PLM Software 11.4.0 2016-09-16 Proprietary commercial software Windows
FreeFem++ [3] FreeFem++ is a free and open-source parallel FEA software for multiphysics simulations. The problems are defined in terms of their variational formulation and can be easily implemented using FreeFem++ language. Written in C++. Sorbonne University [4] and Jacques-Louis Lions Laboratory [5] 3.61 2018-06-20 LGPL Free Linux, MacOS, Windows, Solaris
GOMA GOMA is an open-source, parallel, and scalable multiphysics software package for modeling and simulation of real-life physical processes, with a basis in computational fluid dynamics for problems with evolving geometry. Sandia National Laboratories, University of New Mexico 6.1 Aug 28, 2015 GPL Version 2 Free Linux
GetFEM++ A generic finite element library written in C++ with interfaces for Python, Matlab and Scilab. It focuses on modeling of contact mechanics and discontinuities (e.g. cracks). Yves Renard, Julien Pommier 5.0 2015-07 LGPL Free Unix, Mac OS X, Windows
Hermes Project Modular C/C++ library for rapid development of space- and space-time adaptive hp-FEM solvers hp-FEM group 3.0 2014-03-01 LGPL Free Linux, Unix, Mac OS X, Windows
Mathematica[6] General purpose computation software. Wolfram Research 11.3.0 (March 8, 2018; 12 months ago (2018-03-08)) [±][7] Regularly Proprietary Linux, Mac OS X, Windows, Raspbian, Online service.
MFEM MFEM is a free, lightweight, scalable C++ library for finite element methods that features arbitrary high-order finite element meshes and spaces, support for a wide variety of discretizations, and emphasis on usability, generality, and high-performance computing efficiency. MFEM team 3.4 2018-05-29 LGPL-2.1 with static linking exception Free Linux, Unix, Mac OS X, Windows
MoFEM JosePH Mesh Oriented hp-FE code, written in C++ University of Glasgow 0.6.8 2017-11-16 LGPL Free Unix, Mac OS X
OOFEM Object Oriented Finite EleMent solver, written in C++ Bořek Patzák 2.4 2016-02-15 GPL Version 2 Free Unix, Windows
OpenSees Open System for Earthquake Engineering Simulation Non Commercial Free Unix, Linux, Windows
SESAM (FEM) Software suite for structural and hydrodynamic analysis of ships and offshore structures DNV GL regularly Proprietary, SaaS Windows, Web browser
Range Software Multiphysics Finite Element Analysis Software Tomáš Šoltys 3.0 2018-04-30 GPL Free Linux, Windows
Z88/Z88Aurora Freeware finite element package; The present version Z88Aurora V4 offers, in addition to static strength analysis modules such as non-linear strength calculations (large displacements), simulations with non-linear materials, natural frequency, static thermal analysis and a contact module. Frank Rieg Z88 V15, Z88Aurora V4 2017-07-17, 2017-04-24 GNU GPL, Custom Free Linux, Windows, Mac OS X
Abaqus Advanced Franco-USA software from SIMULIA, owned by Dassault Systemes Abaqus Inc. 6.14-AP 2014-11 Proprietary commercial software Linux, Windows
CONSELF CAE simulation from your browser CONSELF SRL 2.9 2015-10 SaaS Freemium Web browser
FreeCAD FreeCAD is a parametric 3D modeler with add-on FEM module 0.16.670 2016-07 LGPL Linux, Windows, Mac OS X
HyperMesh Finite element pre- and post-processor.

(Hypermesh is a product within the HyperWorks suite)

Altair Proprietary commercial software Linux, Mac OS X, Windows
ADINA Finite element software for structural, fluid, heat transfer, electromagnetic, and multiphysics problems, including fluid-structure interaction and thermo-mechanical coupling Adina R&D Proprietary commercial software
Advance Design BIM software for FEM structural analysis, including international design eurocodes GRAITEC 2014 2013-09 Proprietary commercial software
Autodesk Simulation Finite Element software of Autodesk Autodesk Proprietary commercial software Windows
ANSYS US-based and -developed full CAE software package Ansys Inc. 19.2 2018-09-18 Proprietary commercial software Free student version available, up to 32,000 nodes/elements[8] Windows, Linux
COMSOL Multiphysics COMSOL Multiphysics Finite Element Analysis Software (formerly FEMLAB) COMSOL Inc. 5.3 2017-04-25 Proprietary EULA Linux, Mac OS X, Windows, Web browser
CosmosWorks Part of SolidWorks Dassault Systèmes SolidWorks Corp. Proprietary commercial software Windows
Quickfield Tor Cooperative 6.1 2015-12-22 Proprietary EULA Windows
LS-DYNA Best known for explicit dynamics / crash analysis LSTC - Livermore Software Technology Corporation R8.0 2015-03 Proprietary commercial software Linux, Windows
Nastran Originally developed for NASA, now available commercially from several software companies MSC NASTRAN, Siemens PLM NX Nastran[9] 2014 2014 Proprietary EULA Linux, Mac OS X, Windows
RFEM 3D finite element analysis software Dlubal Software 5.06 2016-02 Proprietary commercial software Free student license available[10] Windows
SimScale German 100% web-based CAE platform SimScale GmbH 14 2013-07 SaaS Free community version available[11] Web browser
VisualFEA Finite element software for structural, geotechnical, heat transfer and seepage analysis Intuition Software 5.11 2016-01 Proprietary software Free educational version available[12] Mac OS X, Windows
JCMsuite Finite element software for the analysis of electromagnetic waves, elasticity and heat conduction JCMwave GmbH 3.6.1 2017-01-27 Proprietary EULA Linux, Windows
JMAG 2D and 3D finite element analysis software for electromagnetic field, thermal, structural JSOL 18.0 2019-02 Proprietary commercial software Education pack available Linux, Windows, Web browser
StressCheck Finite element analysis software based on p-FEM with a focus on solid mechanics applications ESRD, Inc. 10.4 2018-04 Proprietary commercial software Student version available (limited to 15k DOF) Windows

Feature comparison[edit]

This is a wiki table generated by FEA-compare project. Please, contribute changes directly to the project instead of editing the table below. The project also provides an HTML version with the first row and Feature column being fixed for ease of table exploration.

Feature Code_Aster Deal II Elmerfem FEATool Multiphysics FEniCS Firedrake GetFEM++ libMesh MFEM Range COMSOL(R)
license: GPL LGPL GNU (L)GPL Proprietary GNU GPL\LGPL GNU LGPL LGPL GPL LGPL-2.1 with static linking exception GPL Proprietary
GUI: Yes (Salome-Meca) No Yes, partial functionality Matlab and Octave GUI Postprocessing only No No No No Yes Yes
Community: discussion forum, Bitbucket forge Google Group 1000's of users, discussion forum, mailing list Mailing list Mailing list Mailing list and IRC channel Mailing list mail lists GitHub GitHub
Documentation: user manual, theory manual, verification manual, developer manual (more than 25000 pages both in French and English with machine translation) 50+ tutorials, 50+ video lectures, Doxygen ElmerSolver Manual, Elmer Models Manual, ElmerGUI Tutorials, etc. (>700 pages of LaTeX documentation) Online FEATool documentation, ~600 pages, ~20 step-by-step tutorials, and 85 m-script model examples Tutorial, demos (how many?), 700-page book Manual, demos, API reference User doc, tutorials, demos, developer's guide Doxygen, 40+ example codes Doxygen, Example codes user manual, tutorials
mesh elements: segments (1d), triangles, quadrilaterals (2d), tetrahedra, pyramids, wedges, hexahedra (3d) intervals (1d), quads (2d), and hexes (3d) only intervals (1d), triangles, quadrilaterals (2d), tetrahedra, pyramids, wedges, hexahedra (3d) intervals, triangles, tetrahedra, quads, hexes intervals, triangles, tetrahedra (quads, hexes - work in progress) intervals, triangles, tetrahedra, quads, plus extruded meshes of hexes and wedges intervals, triangles, tetrahedra, quads, hexes, prisms, some 4D elements, easily extensible. Tria, Quad, Tetra, Prism, etc. segments (1d), triangles, quadrilaterals (2d), tetrahedra, hexahedra (3d) points(0d), segments (1d), triangles, quadrilaterals (2d), tetrahedra, hexahedra (3d)
mesh high-order mapping: Quadratic any order Yes, for Lagrange elements (Any - work in progress) (Any - using appropriate branches) any order Any? Second-order is the default for most cases.
mesh generation: Yes (Salome-Meca) external+predefined shapes Limited own meshing capabilities with ElmerGrid and netgen/tetgen APIs. Internal extrusion and mesh multiplication on parallel level. Integrated DistMesh, Gmsh, and Triangle GUI and CLI interfaces Yes, Constructive Solid Geometry (CSG) supported via mshr (CGAL and Tetgen used as backends) External + predefined shapes. Internal mesh extrusion operation. Experimental in any dimension + predefined shapes + Extrusion. Built-in Support for Gmsh, CUBIT, NetGen, Truegrid, NetCDF, etc. formats + some internal tools Yes (TetGen) Built-in
mesh adaptive-refinement: h-refinement h, p, and hp for CG and DG h-refinement for selected equations Only h Only h h, p, mached hp, singular hp Conforming and non-confrorming h-refinement for any p. General mesh optimization / r-adaptivity. generate new mesh with variable density, no(?) p-refinement.
mesh input\output: unv, gmsh, MED, aster OpenFOAM, FEniCS XML, GiD, Gmsh, GMV, Triangle XDMF (and FEniCS XML) gmsh, GiD, Ansys Gmsh, CUBIT, NetGen, Truegrid, NetCDF, etc. rbm, stl
mesh check: limited features (double nodes, degenerated elements) intersections (collision testing) ? Minimal limited features (double nodes, degenerated elements, intersected elements)
CAD files support: Yes (Salome-Meca) IGES, STEP (with OpenCascade wrapper) Limited support via OpenCASCADE in ElmerGUI No NURBS meshes Yes (stl) STEP, IGES and many others.
mesh operation: Yes (Salome-Meca) Merge, join, extrude, and revolve operations Extrude, rotate, translation, refine distort/translate/rotate/scale Mesh optimization, general AMR Extrude, rotate, translation, refine
Parallel possibilities
automatic mesh partitioning: Yes for parallel calculations (PTScotch, ParMetis) yes, shared (METIS/Parmetis) and distributed (p4est) partitioning with ElmerGrid using Metis or geometric division Yes (ParMETIS and SCOTCH) Yes Yes (METIS) Yes No
MPI: Yes Yes (up to 147k processes), test for 4k processes and geometric multigrid for 147k, strong and weak scaling Yes, demonstrated scalability up to 1000's of cores Yes, DOLFIN solver scales up to 24k Yes, Scaling plot for Firedrake out to 24k cores. Yes Yes Yes No Almost ideal for parameter sweep? For large scale simulations Comsol 4.2 bench by Pepper has 19.2 speedup on 24 core cluster (0.8 efficiency).
threads: Yes Threading Build Blocks threadsafe, limited threading, work in progress Yes No Yes
OpenMP: Yes Yes (vectorization only) Yes, partially Limited Yes Yes Yes
OpenCL: No No No No Yes, based on OCCA No
CUDA: No work in progress No No Yes, based on OCCA No
Dimension: 0D/1D/2D/3D (dimensions may coexist) 1/2/3D 1D/2D/3D (dimensions may coexist) 1/2/3D 1/2/3D 1/2/3D Any, possibility to mix and couple problem of different dimension 2D\3D 1D/2D/3D 0D/1D/2D/3D (dimensions may coexist)
FE: Lagrange elements (isoparametric), mixed elements, structural mechanics elements (beam, plate) Lagrange elements of any order, continuous and discontinuous; Nedelec and Raviart-Thomas elements of any order; BDM and Bernstein; elements composed of other elements. Lagrange elements, p-elements up to 10th order, Hcurl conforming elements (linear and quadratic) for Lagrange (1st-5th order), Crouzeix-Raviart, Hermite Lagrange, BDM, RT, Nedelic, Crouzeix-Raviart, all simplex elements in the Periodic Table (, any Lagrange, BDM, RT, Nedelec, all simplex elements and Q- quad elements in the Periodic Table, any Continuous and discontinuous Lagrange, Hermite, Argyris, Morley, Nedelec, Raviart-Thomas, composite elements (HCT, FVS), Hierarchical elements, Xfem, easily extensible. Lagrange, Hierarchic, Discontinuous Monomials Arbitrary high-order: H1, H(div), and H(curl)-conforming spaces. Discontinuous L2 spaces, Numerical trace (interfacial) spaces. NURBS spaces for isogeometric analysis. Lagrange elements in Wave Optics Module: frequency domain and trainsient UI - 1,2, and 3 order; time explicit UI - 1,2,3, and 4 order;
Quadrature: depending on the type of element (Gauss, Newton-Cotes, etc) Gauss-Legendre, Gauss-Lobatto, midpoint, trapezoidal, Simpson, Milne and Weddle (closed Newton-Cotes for 4 and 7 order polinomials), Gauss quadrature with logarithmic or 1/R weighting function, Telles quadrature of arbitrary order. Gauss-Legendre (1D and tensor product rules in 2D and 3D) tabulated up to 44th-order to high precision, best available rules for triangles and tetrahedra to very high order, best available monomial rules for quadrilaterals and hexahedra. General, in particular Gauss-Legendre and Gauss-Lobatto.
Transient problems: Yes Any user implemented and/or from a set of predifined. Explicit methods: forward Euler, 3rd and 4th order Runge-Kutta. Implicit methods: backward Euler, implicit Midpoint, Crank-Nicolson, SDIRK. Embedded explicit methods: Heun-Euler, Bogacki-Shampine, Dopri, Fehlberg, Cash-Karp. BE, CN, and Fractional-Step-Theta schemes Yes Yes (?) assume 2nd order leapfrog for wave optics?
Predifined equations: Yes (mechanics, thermics, acoustics) Laplace? Around 40 predefined solvers Incompressible Navier-Stokes, Heat transfer, convection-diffusion-reaction, linear elasticity, electromagnetics, Darcy's, Brinkman equations, and support for custom PDE equations No Yes, many Yes (Incompressible Navier-Stokes, Heat transfer (convection-conduction-radiation), Stress analysis, Soft body dynamics, Modal analysis, Electrostatics, Magnetostatics ) Yes, via modules
Automated assembly: Yes Yes Yes Yes Yes Yes Yes
Visualization: Paraview (Salome-Meca) External (export to *.vtk and many others) ElmerPost, VTK widget (but Paraview is recommended) Built-in with optional Plotly and GMV export Buil-in simple plotting + External External External or with the Scilab/Matlab/Python interface. Possibility to perform complex slices. No GLVis, VisIt GUI (built-in) Built-in
Output format: MED, ASCII *.dx *.ucd *.gnuplot *.povray *.eps *.gmv *.tecplot *.tecplot_binary *.vtk *.vtu *.svg *.hdf5 Several output formats (VTU, gmsh,...) GMV and Plotly VTK(.pvd, .vtu) and XDMF/HDF5 VTK(.pvd, .vtu) vtk, gmsh, OpenDX. Many
Boundary elements solver: Yes for Soil-Structure Interaction (Miss3D) Yes Existing but without multipole acceleration (not usable for large problems) No No No No
Use multiple meshes: Yes Yes, autorefined from same initial mesh for each variable of a coupled problem Continuity of non-conforming interfaces ensured by mortar finite elements Yes, including non-matching meshes Yes Yes including different dimensions and taking account of any transformation. No
Linear algebra
Used libs: BLAS/LAPACK, MUMPS (and SCALAPACK), PETSc Built-in + Trilinos, PETSc, and SLEPc Built-in, Hypre, Trilinos, umfpack, MUMPS, Pardiso, etc. (optional) Matlab/Octave built-in (Umfpack), supports integration with the FEniCS and OpenFOAM solvers PETSc, Trilinos/TPetra, Eigen. PETSc SuperLU, MUMPS, Built-in. PETSc, Trilinos, LASPack, SLEPc hypre, optionally PETSc, SUNDIALS, SuperLU, SuiteSparse, and more No
Iterative matrix solvers: GMRES, CG, GCR, CR, FGMRES (via PETSc) All Krylov (CG, Minres, GMRES, BiCGStab, QMRS) Built-in Krylov solvers, Krylov and multigrid solvers from external libraries Matlab/Octave built-in All Krylov LASPack serial, PETSc parallel All Krylov GMRES, CG
Preconditioners: ILU, Jacobi, Simple Precision Preconditioner (via MUMPS) Many, including algebraic multigrid (via Hypre and ML) and geometric multigrid Built-in preconditioners (ILU, diagonal, vanka, block) and Matlab/Octave built-in Basic ones (ILU, ILUT) LASPack serial, PETSc parallel Scalable AMG via hypre ILU, Jacobi
matrix-free: No Yes Experimental implementation Yes No Yes No
matrix-free save memory: No Yes No Yes No
matrix-free speed-up: No Yes No Yes No
Used language
Native language: Fortran 90, Python C++ Fortran (2003 standard) Matlab / Octave C++ Python (and generated C) C++ C++ C++ C++
Bindings to language: Python No Python Python, Scilab or Matlab Python No
Predefined equations: linear quasistatics, linear thermics, non-linear quasistatics, non-linear dynamics, eigen problem for mechanics, linear dynamics on physical basis and modal basis, harmonic analysis, spectral analysis Model bricks: Laplace, linear and nonlinear elasticity, Helmholtz, plasticity, Mindlin and K.L. plates, boundary conditions including contact with friction. Many
Coupled nonlinear problems: thermo-hydro-mechanical problem for porous media, coupling with Code_Saturne CFD software for Fluid-Structure Interaction via SALOME platform Yes Yes
Binary: Yes for Salome-Meca (Linux) Linux, Windows (work in progress), Mac Windows, Linux (launchpad: Debian/Ubuntu), Mac (homebrew) (all with MPI) Windows, Linux, Mac Linux (Debian\Ubuntu), Mac No. Automated installers for Linux and Mac Linux (Debian/Ubuntu) Yes
fullname: Analyse des Structures et Thermo-mécanique pour des Études et des Recherches (ASTER) Elmer finite element software Modular Finite Element Methods Library
Testing: More than 3500 verification testcases covering all features and providing easy starting points for beginners 3500+ tests More than 400 consistency tests ensuring backward compatibility Yes
Symbolic derivation of the tangent system for nonlinear problems: Yes No
Support for fictitious domain methods: Yes No
Wilkinson Prize: 2007 2015 for dolfin-adjoint No
scripting: Fully scriptable in as m-file Matlab scripts and the GUI supports exporting models in script format No
multiphysics: Arbitrary multiphysics couplings are supported Yes
Optimization Solvers: Support for TAO- and nlopt-based constrained optimization solvers incorporating gradient and Hessian information. No


  1. ^ "FEniCS Project". Retrieved 2017-06-21.
  2. ^ "FEATool Multiphysics - Product Information". Retrieved 2018-06-12. External link in |website= (help)
  3. ^ "FreeFem++". Retrieved 2018-11-30.
  4. ^ "Sorbonne Université | Lettres, Médecine, Sciences". Retrieved 2018-11-30.
  5. ^ Curie, UPMC - Université Pierre et Marie. "Jacques-Louis Lions Laboratory (LJLL) - UMR 7598 - SCIENCE". Retrieved 2018-11-30.
  6. ^ Mathematica Documentation
  7. ^ "Mathematica Quick Revision History". Retrieved 2018-03-08.
  8. ^ "Student Products - Free Simulation Software". Retrieved 2017-05-28.
  9. ^ "NX Nastran: Siemens PLM Software". Retrieved 2017-05-28.
  10. ^ "Free Student License | Dlubal Software". Retrieved 2017-05-28.
  11. ^ "Plans & Pricing - SimScale Simulation Platform". Retrieved 2017-05-28.
  12. ^ "Browsing VisualFEA (Finite Element Analysis) by Title". 2016-03-01. Retrieved 2017-05-28.