Free Coding Software For Mac

Free Coding Software For Mac

This is a list of software packages that implement the finite element method for solving partial differential equations.
Free Coding Software For Mac
Free Coding App For Mac

SoftwareFeaturesDeveloperVersionReleasedLicensePricePlatform
Agros2DMultiplatform open source application for the solution of physical problems based on the Hermes libraryUniversity of West Bohemia3.22014-03-03GNU GPLFreeLinux, Windows
CalculiXIt 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 applicationsGuido Dhondt, Klaus Wittig2.162019-11-24GNU GPLFreeLinux, Windows
DIANA FEAGeneral purpose finite element package utilised by civil, structural and geotechnical engineers.DIANA FEA BV, The Netherlands10.12016-11-14PaidWindows, Linux
deal.IIComprehensive 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.9.02018-05-12LGPLFreeLinux, Unix, Mac OS X, Windows
DUNEDistributed and Unified Numerics Environment, written in C++DUNE Developer team2.4.12016-02-29GPL Version 2 with Run-Time ExceptionFreeLinux, Unix, Mac OS X
ElmerOpen source multiphysical simulation software developed by Finnish Ministry of Education's CSC, written primarily in Fortran (written in Fortran90, C and C++)CSC8.22016-03-15GPLFreeLinux, Mac OS X, Windows
FEBioFinite Elements for BiomechanicsUniversity of Utah (MRL), Columbia University (MBL)2.7April, 2018CustomFreeLinux, Mac OS X, Windows
FEniCS ProjectSoftware package developed by American and European researchers with the goal to enable automated solution of differential equationsFEniCS Team1.6.02015-07-29LGPL (Core) & GPL/LGPL (Non-Core)[1]FreeLinux, Unix, Mac OS X, Windows
FEATool MultiphysicsMATLAB FEM and PDE multiphysics simulation toolboxPrecise Simulation1.102019-05-17Free for personal use[2]Windows, Mac OS X, Linux, Unix
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]4.2.12019-06-06LGPLFreeLinux, MacOS, Windows, Solaris
GOMAGOMA 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 Mexico6.1Aug 28, 2015GPL Version 2FreeLinux
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 Pommier5.02015-07LGPLFreeUnix, Mac OS X, Windows
Hermes ProjectModular C/C++ library for rapid development of space- and space-time adaptive hp-FEM solvershp-FEM group3.02014-03-01LGPLFreeLinux, Unix, Mac OS X, Windows
Mathematica[6]General purpose computation software.Wolfram Research12.1.1 (June 17, 2020; 4 months ago) [±][7]RegularlyProprietaryLinux, Mac OS X, Windows, Raspbian, Online service.
MATLAB Partial Differential Equation ToolboxMATLAB Toolbox for solving structural, thermal, electromagnetics, and other general PDEsMathWorks3.3 (R2019b)2019-09-11Linux, Mac OS X, Windows
MFEMMFEM 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 team4.12020-03-10BSDFreeLinux, Unix, Mac OS X, Windows
MoFEM JosePHMesh Oriented hp-FE code, written in C++University of Glasgow0.6.82017-11-16LGPLFreeUnix, Mac OS X
MOOSEObject Oriented FE framework, written in C++Idaho National LaboratoryregularlyLGPLFreeUnix, Mac OS X
OOFEMObject Oriented Finite EleMent solver, written in C++Bořek Patzák2.42016-02-15GPL Version 2FreeUnix, Windows
OpenSeesOpen System for Earthquake Engineering SimulationNon CommercialFreeUnix, Linux, Windows
SESAM (FEM)Software suite for structural and hydrodynamic analysis of ships and offshore structuresDNV GLregularlyProprietary, SaaSWindows, Web browser
Range SoftwareMultiphysics Finite Element Analysis SoftwareTomáš Šoltys3.02018-04-30GPLFreeLinux, Windows
Z88/Z88AuroraFreeware 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 RiegZ88 V15, Z88Aurora V52017-07-17, 2019-04-01GNU GPL, CustomFreeLinux, Windows, Mac OS X
AbaqusAdvanced Franco-USA software from SIMULIA, owned by Dassault SystemesAbaqus Inc.20192019-12Linux, Windows
CONSELFCAE simulation from your browserCONSELF SRL2.92015-10SaaSFreemiumWeb browser
FreeCADParametric 3D modeler with a FEM workbench allowing it to use external solvers like CalculiX, Z88, Elmer, and OpenFoamFreeCAD Team0.1812 March 2019LGPL 2FreeLinux, Windows, Mac OS X
ADINAFinite element software for structural, fluid, heat transfer, electromagnetic, and multiphysics problems, including fluid-structure interaction and thermo-mechanical couplingAdina R&D
Advance DesignBIM software for FEM structural analysis, including international design eurocodesGRAITEC20142013-09
Autodesk SimulationFinite Element software of AutodeskAutodeskWindows
ANSYSUS-based and -developed full CAE software packageAnsys Inc.19.22018-09-18Free student version available, up to 32,000 nodes/elements[8]Windows, Linux
COMSOL MultiphysicsCOMSOL Multiphysics Finite Element Analysis Software (formerly FEMLAB)COMSOL Inc.5.52019-11-14Linux, Mac OS X, Windows, Web browser
CosmosWorksPart of SolidWorksDassault Systèmes SolidWorks Corp.Windows
QuickfieldEM, Heat Transfer and Stress Analysis [9]Tera Analysis Ltd6.4 [10]2020-04-17Free Student Edition available[11]Windows
Pam CrashBest used for explicit dynamics / crash analysisESI15.5.12020-03-05Linux, Windows
LS-DYNABest known for explicit dynamics / crash analysisLSTC - Livermore Software Technology CorporationR8.02015-03Linux, Windows
Midas CivilFinite element software for bridge structural modeling, analysis and designMIDAS IT - MIDAS Information Technology2020 v3.22001-11Windows, Linux
NastranOriginally developed for NASA, now available commercially from several software companiesMSC NASTRAN, Siemens PLM NX Nastran[12]20142014Linux, Mac OS X, Windows
RFEM3D finite element analysis softwareDlubal Software5.062016-02Free student license available[13]Windows
SimScaleGerman 100% web-based CAE platformSimScale GmbH142013-07SaaSFree community version available[14]Web browser
VisualFEAFinite element software for structural, geotechnical, heat transfer and seepage analysisIntuition Software5.112016-01Proprietary softwareFree educational version available[15]Mac OS X, Windows
JCMsuiteFinite element software for the analysis of electromagnetic waves, elasticity and heat conductionJCMwave GmbH3.6.12017-01-27Linux, Windows
JMAG2D and 3D finite element analysis software for electromagnetic field, thermal, structuralJSOL18.12019-06Education pack availableLinux, Windows, Web browser
StressCheckFinite element analysis software based on hp-FEM with a focus on solid mechanics applicationsESRD, Inc.10.52019-06-06Windows
SDC VerifierAn extension for Ansys Mechanical, Femap and Simcenter with out of the box predefined standards on fatigue, stiffener and plate buckling, beam member checks, joint checks and weld. Such as AISC 360-10, API 2A RP, ISO 19902, Norsok N004, DIN15018, Eurocode 3, FEM 1.001, ABS 2004, ABS 2014, DNV RP-C201 2010, DNV CN30/1995, FKM etc.SDC Verifier5.3.12020-03Student version availableWindows
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Feature comparison[edit]This table is contributed by a FEA-compare[16] project, which provides an alternative view of this table with the first row and Feature column being fixed for ease of table exploration. 
FeatureCOMSOL MultiphysicsMFEMGetFEM++deal.IIRange SoftwareElmerMOOSEFEniCS ProjectFEATool Multiphysics
license:ProprietaryBSDLGPLLGPLGPLGNU (L)GPLLGPLGNU GPLLGPLProprietary
GUI:YesNoNoNoYesYes, partial functionalityYesPostprocessing onlyMatlab and Octave GUI
Documentation:User guides, reference manuals, API documentation, application libraries with solved examples, online tutorialsexamples, miniapps, Doxygen, online documentationUser doc, tutorials, demos, developer's guidetutorials, video lectures, Doxygenuser manual, tutorialsElmerSolver Manual, Elmer Models Manual, ElmerGUI Tutorials, etc. LaTeX documentation available in PDFsDoxygen, Markdown, example codes, test inputsTutorial, demos, bookOnline FEATool documentation, tutorials, and model examples
Mesh
mesh elements:Intervals (1D); triangles, quadrilaterals (2D and 3D boundaries); tetrahedra, pyramids, prisms, hexahedra (3d)segments, triangles, quadrilaterals, tetrahedra, hexahedra, prismsintervals, triangles, tetrahedra, quads, hexes, prisms, some 4D elements, easily extensible.intervals (1d), quads (2d), and hexes (3d) onlypoints(0d), segments (1d), triangles, quadrilaterals (2d), tetrahedra, hexahedra (3d)intervals (1d), triangles, quadrilaterals (2d), tetrahedra, pyramids, wedges, hexahedra (3d)Tria, Quad, Tetra, Prism, etc.intervals, triangles, tetrahedra (quads, hexes - work in progress)intervals, triangles, tetrahedra, quads, hexes
mesh high-order mapping:Any? Second-order is the default for most cases.arbitrary-order meshes and NURBS meshesany orderYes, for Lagrange elements(Any - work in progress)
mesh generation:Built-inmeshing miniapps and target-matrix mesh optimizationExperimental in any dimension + predefined shapes + Extrusion.external+predefined shapesYes (TetGen)Limited own meshing capabilities with ElmerGrid and netgen/tetgen APIs. Internal extrusion and mesh multiplication on parallel level.Built-inYes, Constructive Solid Geometry (CSG) supported via mshr (CGAL and Tetgen used as backends)Integrated DistMesh, Gmsh, and Triangle GUI and CLI interfaces
mesh adaptive-refinement:Yes, full adaptive mesh refinement (h-refinement); no p-refinement but several higher-order elements are included. Mesh adaptation on the whole or parts of the geometry, for stationary, eigenvalue, and time-dependent simulations and by rebuilding the entire mesh or refining chosen mesh elements.conforming and non-conforming adaptive refinement for tensor product and simplex meshesOnly hh, p, and hp for CG and DGh-refinement for selected equationsh, p, mached hp, singular hpOnly h
mesh inputoutput:STL, PLY, NASTRAN, 3MF, VRML (import only), native formatVTK, Gmsh, CUBIT, NETGEN, TrueGrid, and MFEM formatgmsh, GiD, Ansysrbm, stlExodusII, Nemesis, Abaqus, Ensight, Gmsh, GMV, OFF, TecPlot TetGen, etc.XDMF (and FEniCS XML)FeatFlow, FEniCS XML, GiD, Gmsh, GMV, Triangle
mesh check:Avoids inverted and degenerated elements; various mesh quality measures?limited features (double nodes, degenerated elements, intersected elements)intersections (collision testing)
CAD files support:STEP, IGES, others.NoIGES, STEP (with OpenCascade wrapper)Yes (stl)Limited support via OpenCASCADE in ElmerGUI
mesh operation:Merge, copy, refine; convert; boundary layers; extrude, revolve, sweep, loft for 3D geometiesExtrude, rotate, translation, refineExtrude, rotate, translation, refineMerge, join, extrude, modular mesh modifier systemMerge, join, extrude, and revolve operations
Parallel possibilities
automatic mesh partitioning:METIS and space-filling curve partitioningYes (METIS)yes, shared (METIS/Parmetis) and distributed (p4est)Nopartitioning with ElmerGrid using Metis or geometric division, internal partitioning in ElmerSolver using ZoltanMetis, Parmetis, Hilbert (shared and distributed meshes)Yes (ParMETIS and SCOTCH)
MPI:YesYesYesYes (up to 147k processes)NoYesYesYes
threads:Supports multithreadingUsing OpenMP, RAJA, or OCCA backendsThreading Build BlocksYesthreadsafe, some modules threaded and vectorized.Yes
OpenMP:YesYesYesYes (vectorization only)YesYes, partiallyYes
OpenCL:NoThrough OCCA backendsNoNoNoNo
CUDA:NoYesNosince 9.1, see step-64 for matrix-free GPU+MPI exampleNoPreliminary API for sparse linear algebra
Solver
Dimension:0D, 1D, 2D, 3D (can coexist)1D/2D/3DAny, possibility to mix and couple problem of different dimension1/2/3D0D/1D/2D/3D (dimensions may coexist)1D/2D/3D (dimensions may coexist)1/2/3D1/2/3D1/2/3D
FE:Lagrange (order 1-7), Hermite (order 3-7), discontinuous Lagrange (order 0-7), bubble, Gauss point, serendipity, NedelecArbitrary-order Lagrange elements (continuous and discontinuous), Bernstein basis, Nedelec and Raviart-Thomas elements, support for NURBS spaces (IGA)Continuous and discontinuous Lagrange, Hermite, Argyris, Morley, Nedelec, Raviart-Thomas, composite elements (HCT, FVS), Hierarchical elements, Xfem, easily extensible.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 elementsLagrange elements, p-elements up to 10th order, Hcurl conforming elements (linear and quadratic) forLagrange, Hierarchic, Discontinuous Monomials, NedelecLagrange, BDM, RT, Nedelic, Crouzeix-Raviart, all simplex elements in the Periodic Table (femtable.org), anyLagrange (1st-5th order), Crouzeix-Raviart, Hermite
Quadrature:Gauss-Legendre, Gauss-Lobatto, and uniform quadrature rules.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.
Transient problems:Yes, BDF, Runge-Kutta (RK34, Cash-Karp 5, Dormand-Prince 5), and generalized alpha time steppingRunge-Kutta, SSP, SDIRK, Adams-Bashforth, Adams-Moulton, Symplectic Integration Algorithm, Newmark method, Generalized-alpha methodAny 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.Yesimplicit-euler explicit-euler crank-nicolson bdf2 explicit-midpoint dirk explicit-tvd-rk-2 newmark-betaBE, CN, and Fractional-Step-Theta schemes
Predifined equations:Incompressible Navier-Stokes, heat transfer, convection-diffusion-reaction, linear elasticity, electromagnetics, pressure acoustics, Darcy's law, and support for custom PDE equationsMiniapps and examples for Laplace, elasticity, Maxwell, Darcy, advection, Euler, Helmholtz, and othersLaplace?Yes (Incompressible Navier-Stokes, Heat transfer (convection-conduction-radiation), Stress analysis, Soft body dynamics, Modal analysis, Electrostatics, Magnetostatics )Around 50 predefined solversPhase Field, Solid Mechanics, Navier-Stokes, Porous Flow, Level Set, Chemical Reactions, Heat Conduction, support for custom PDEsIncompressible Navier-Stokes, Heat transfer, convection-diffusion-reaction, linear elasticity, electromagnetics, Darcy's, Brinkman equations, and support for custom PDE equations
Automated assembly:YesYesYesYes
Visualization:Built-inIn situ visualization with GLVis. Export to VisIt and ParaView.External or with the Scilab/Matlab/Python interface. Possibility to perform complex slices.External (export to *.vtk and many others)GUI (built-in)ElmerGUI comes VTK based visualization tool (but Paraview is recommended)Yes, VTK-based GUI, Python visualizatuion libraryBuil-in simple plotting + ExternalBuilt-in with optional Plotly and GMV export
Output format:Text and unstructured VTK-file for data.BMP,PNG, GIF, TIFF, JPEG, glTF, Windows clipboard, Microsoft PowerPoint (for images). GIF, Flash, AVI, WebM (for animatios). Touchstone data (for networks).VisIt, ParaView (VTU), GLVis formatvtk, gmsh, OpenDX.*.dx *.ucd *.gnuplot *.povray *.eps *.gmv *.tecplot *.tecplot_binary *.vtk *.vtu *.svg *.hdf5Several output formats (VTU, gmsh,...)ExodusII, Xdr, etc.VTK(.pvd, .vtu) and XDMF/HDF5GMV and Plotly
Boundary elements solver:YesNoYesExisting but without multipole acceleration (not usable for large problems)No
Use multiple meshes:Yes including different dimensions and taking account of any transformation.Yes, autorefined from same initial mesh for each variable of a coupled problemContinuity of non-conforming interfaces ensured by mortar finite elementsYes, including non-matching meshes
Linear algebra
Used libs:MUMPS, PARDISO, SPOOLES; ARPACK, BLAS, BLIS, Intel MKL, LAPACKBuilt-in and integrated with hypre. Optional integrations with PETSc, Ginkgo, SuperLU, Suite Sparse, libCEED, and moreSuperLU, MUMPS, Built-in.Built-in + Trilinos, PETSc, and SLEPcNoBuilt-in, Hypre, Trilinos, umfpack, MUMPS, Pardiso, etc. (optional)PETSc, Trilinos, LASPack, SLEPcPETSc, Trilinos/TPetra, Eigen.Matlab/Octave built-in (Umfpack), supports integration with the FEniCS and FeatFlow solvers
Iterative matrix solvers:GMRES, FGMRES, BiCGStab, conjugate gradients, TFQMR, or any precoditioner. Algebraic and geometric multigrid. Domain decomponsition (Schwarz, Schur)Krylov methods (CG, MINRES, GMRES, BiCGStab)All KrylovAll Krylov (CG, Minres, GMRES, BiCGStab, QMRS)GMRES, CGBuilt-in Krylov solvers, Krylov and multigrid solvers from external librariesLASPack serial, PETSc parallelMatlab/Octave built-in
Preconditioners:Direct preconditioner, Krylov, SOR, SSOR, SORU, SOR line, SOR gauge, SOR vector, Jacobi, incomplete and hierarchical LU, SAI, SCGS, Vanka, AMSAlgebraic, Geometric, and p-multigrid. Block ILU preconditioning. Support for hypre's AMS and ADS preconditioners for H(curl) and H(div).Basic ones (ILU, ILUT)Many, including algebraic multigrid (via Hypre and ML) and geometric multigridILU, JacobiBuilt-in preconditioners (ILU, diagonal, vanka, block) andLASPack serial, PETSc parallel, algebraic multigrid (via Hypre)Matlab/Octave built-in
Matrix-free
matrix-free:YesYesNoYesNoExperimental implementation
matrix-free save memory:YesNoYesNo
matrix-free speed-up:YesNoYesNo
Used language
Native language:Primarily C++ and JavaC++C++C++C++Fortran (2008 standard)C++C++Matlab / Octave
Bindings to language:Full API for Java and Matlab (the latter via add-on product)PyMFEMPython, Scilab or MatlabNoNoPython
Other
Predefined equations:Yes, many predefined physics and multiphysics interfaces in COMSOL Multiphysics and its add-ons.A large number of Bilinear and Linear formsModel bricks: Laplace, linear and nonlinear elasticity, Helmholtz, plasticity, Mindlin and K.L. plates, boundary conditions including contact with friction.
Coupled nonlinear problems:YesYesYes
Binary:Windows, Linux, macOSYes, via OpenHPC. Also available as part of Spack, xSDK, E4S, FASTMath, RADIUSS and CEED.Linux (Debian/Ubuntu)Linux, Windows (work in progress), MacWindows, Linux (launchpad: Debian/Ubuntu), Mac (homebrew) (all with MPI)Linux (DebianUbuntu), MacWindows, Linux, Mac
fullname:Elmer finite element software
Testing:Comprehensive unit and regression tests. Continuous integration through Travis CI3500+ testsMore than 700 consistency tests ensuring backward compatibility4300+ tests, Testing as a service for derived applications
scripting:Full API for Java and, through add-on product, MatlabRuntime parsed mathematical expression in input filesFully scriptable in as m-file Matlab scripts and the GUI supports exporting models in script format
automatic differentiation:YesForward-mode for Jacobian computation, symbolic differentiation capabilities
multiphysics:Yes, full custom and predefined multiphysics couplings between all kinds of physicsArbitrary multiphysics couplings are supportedArbitrary multiphysics couplings are supportedArbitrary multiphysics couplings are supported
Optimization Solvers:With the Optimization Module add-on: Coorinate search, Nelder-Mead, Monte Carlo, BOBYQA, COBYLA, SNOPT, MMA, Levenberg-MarquardtIntegration with HiOp. Built-in SLBQP optimizerSupport for TAO- and nlopt-based constrained optimization solvers incorporating gradient and Hessian information.
HIP:Yes
Symbolic derivation of the tangent system for nonlinear problems:Yes
Support for fictitious domain methods:Yes
References[edit]^'FEniCS Project'. Retrieved 2017-06-21.
^'FEATool Multiphysics - Product Information'. Retrieved 2018-06-12.
^'FreeFem++'. freefem.org. Retrieved 2018-11-30.
^'Sorbonne Université | Lettres, Médecine, Sciences'. www.sorbonne-universite.fr. Retrieved 2018-11-30.
^Curie, UPMC - Université Pierre et Marie. 'Jacques-Louis Lions Laboratory (LJLL) - UMR 7598 - SCIENCE'. sciences.sorbonne-universite.fr. Retrieved 2018-11-30.
^Mathematica Documentation
^'Mathematica Quick Revision History'. Retrieved 2019-04-16.
^'Student Products - Free Simulation Software'. Ansys.com. Retrieved 2017-05-28.
^http://quickfield.com/pack.htm
^http://quickfield.com/allnews/qf64.htm
^http://www.quickfield.com/free_soft.htm
^'NX Nastran: Siemens PLM Software'. Plm.automation.siemens.com. Retrieved 2017-05-28.
^'Free Student License | Dlubal Software'. Dlubal.com. Retrieved 2017-05-28.
^'Plans & Pricing - SimScale Simulation Platform'. Simscale.com. Retrieved 2017-05-28.
^'Browsing VisualFEA (Finite Element Analysis) by Title'. Ecommons.cornell.edu. 2016-03-01. Retrieved 2017-05-28.
^GitHub For ease of maintenance of this table, please, first consider to contribute changes directly to the project instead of editing the table below, however, direct wiki edits are also valid and will be backported
Retrieved from 'https://en.wikipedia.org/w/index.php?title=List_of_finite_element_software_packages&oldid=982458808'
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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
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	2.16	2019-11-24	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	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 FEM and PDE multiphysics simulation toolbox	Precise Simulation	1.10	2019-05-17	Free for personal use^[2]	Windows, Mac OS X, Linux, Unix
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]	4.2.1	2019-06-06	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	12.1.1 (June 17, 2020; 4 months ago) [±]^[7]	Regularly	Proprietary	Linux, Mac OS X, Windows, Raspbian, Online service.
MATLAB Partial Differential Equation Toolbox	MATLAB Toolbox for solving structural, thermal, electromagnetics, and other general PDEs	MathWorks	3.3 (R2019b)	2019-09-11	Linux, Mac OS X, Windows
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	4.1	2020-03-10	BSD	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
MOOSE	Object Oriented FE framework, written in C++	Idaho National Laboratory	regularly	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 V5	2017-07-17, 2019-04-01	GNU GPL, Custom	Free	Linux, Windows, Mac OS X
Abaqus	Advanced Franco-USA software from SIMULIA, owned by Dassault Systemes	Abaqus Inc.	2019	2019-12	Linux, Windows
CONSELF	CAE simulation from your browser	CONSELF SRL	2.9	2015-10	SaaS	Freemium	Web browser
FreeCAD	Parametric 3D modeler with a FEM workbench allowing it to use external solvers like CalculiX, Z88, Elmer, and OpenFoam	FreeCAD Team	0.18	12 March 2019	LGPL 2	Free	Linux, Windows, Mac OS X
ADINA	Finite element software for structural, fluid, heat transfer, electromagnetic, and multiphysics problems, including fluid-structure interaction and thermo-mechanical coupling	Adina R&D
Advance Design	BIM software for FEM structural analysis, including international design eurocodes	GRAITEC	2014	2013-09
Autodesk Simulation	Finite Element software of Autodesk	Autodesk	Windows
ANSYS	US-based and -developed full CAE software package	Ansys Inc.	19.2	2018-09-18	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.	5.5	2019-11-14	Linux, Mac OS X, Windows, Web browser
CosmosWorks	Part of SolidWorks	Dassault Systèmes SolidWorks Corp.	Windows
Quickfield	EM, Heat Transfer and Stress Analysis ^[9]	Tera Analysis Ltd	6.4 ^[10]	2020-04-17	Free Student Edition available^[11]	Windows
Pam Crash	Best used for explicit dynamics / crash analysis	ESI	15.5.1	2020-03-05	Linux, Windows
LS-DYNA	Best known for explicit dynamics / crash analysis	LSTC - Livermore Software Technology Corporation	R8.0	2015-03	Linux, Windows
Midas Civil	Finite element software for bridge structural modeling, analysis and design	MIDAS IT - MIDAS Information Technology	2020 v3.2	2001-11	Windows, Linux
Nastran	Originally developed for NASA, now available commercially from several software companies	MSC NASTRAN, Siemens PLM NX Nastran^[12]	2014	2014	Linux, Mac OS X, Windows
RFEM	3D finite element analysis software	Dlubal Software	5.06	2016-02	Free student license available^[13]	Windows
SimScale	German 100% web-based CAE platform	SimScale GmbH	14	2013-07	SaaS	Free community version available^[14]	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^[15]	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	Linux, Windows
JMAG	2D and 3D finite element analysis software for electromagnetic field, thermal, structural	JSOL	18.1	2019-06	Education pack available	Linux, Windows, Web browser
StressCheck	Finite element analysis software based on hp-FEM with a focus on solid mechanics applications	ESRD, Inc.	10.5	2019-06-06	Windows
SDC Verifier	An extension for Ansys Mechanical, Femap and Simcenter with out of the box predefined standards on fatigue, stiffener and plate buckling, beam member checks, joint checks and weld. Such as AISC 360-10, API 2A RP, ISO 19902, Norsok N004, DIN15018, Eurocode 3, FEM 1.001, ABS 2004, ABS 2014, DNV RP-C201 2010, DNV CN30/1995, FKM etc.	SDC Verifier	5.3.1	2020-03	Student version available	Windows

Feature	COMSOL Multiphysics	MFEM	GetFEM++	deal.II	Range Software	Elmer	MOOSE	FEniCS Project	FEATool Multiphysics
license:	Proprietary	BSD	LGPL	LGPL	GPL	GNU (L)GPL	LGPL	GNU GPLLGPL	Proprietary
GUI:	Yes	No	No	No	Yes	Yes, partial functionality	Yes	Postprocessing only	Matlab and Octave GUI
Documentation:	User guides, reference manuals, API documentation, application libraries with solved examples, online tutorials	examples, miniapps, Doxygen, online documentation	User doc, tutorials, demos, developer's guide	tutorials, video lectures, Doxygen	user manual, tutorials	ElmerSolver Manual, Elmer Models Manual, ElmerGUI Tutorials, etc. LaTeX documentation available in PDFs	Doxygen, Markdown, example codes, test inputs	Tutorial, demos, book	Online FEATool documentation, tutorials, and model examples
Mesh
mesh elements:	Intervals (1D); triangles, quadrilaterals (2D and 3D boundaries); tetrahedra, pyramids, prisms, hexahedra (3d)	segments, triangles, quadrilaterals, tetrahedra, hexahedra, prisms	intervals, triangles, tetrahedra, quads, hexes, prisms, some 4D elements, easily extensible.	intervals (1d), quads (2d), and hexes (3d) only	points(0d), segments (1d), triangles, quadrilaterals (2d), tetrahedra, hexahedra (3d)	intervals (1d), triangles, quadrilaterals (2d), tetrahedra, pyramids, wedges, hexahedra (3d)	Tria, Quad, Tetra, Prism, etc.	intervals, triangles, tetrahedra (quads, hexes - work in progress)	intervals, triangles, tetrahedra, quads, hexes
mesh high-order mapping:	Any? Second-order is the default for most cases.	arbitrary-order meshes and NURBS meshes	any order	Yes, for Lagrange elements	(Any - work in progress)
mesh generation:	Built-in	meshing miniapps and target-matrix mesh optimization	Experimental in any dimension + predefined shapes + Extrusion.	external+predefined shapes	Yes (TetGen)	Limited own meshing capabilities with ElmerGrid and netgen/tetgen APIs. Internal extrusion and mesh multiplication on parallel level.	Built-in	Yes, Constructive Solid Geometry (CSG) supported via mshr (CGAL and Tetgen used as backends)	Integrated DistMesh, Gmsh, and Triangle GUI and CLI interfaces
mesh adaptive-refinement:	Yes, full adaptive mesh refinement (h-refinement); no p-refinement but several higher-order elements are included. Mesh adaptation on the whole or parts of the geometry, for stationary, eigenvalue, and time-dependent simulations and by rebuilding the entire mesh or refining chosen mesh elements.	conforming and non-conforming adaptive refinement for tensor product and simplex meshes	Only h	h, p, and hp for CG and DG	h-refinement for selected equations	h, p, mached hp, singular hp	Only h
mesh inputoutput:	STL, PLY, NASTRAN, 3MF, VRML (import only), native format	VTK, Gmsh, CUBIT, NETGEN, TrueGrid, and MFEM format	gmsh, GiD, Ansys	rbm, stl	ExodusII, Nemesis, Abaqus, Ensight, Gmsh, GMV, OFF, TecPlot TetGen, etc.	XDMF (and FEniCS XML)	FeatFlow, FEniCS XML, GiD, Gmsh, GMV, Triangle
mesh check:	Avoids inverted and degenerated elements; various mesh quality measures	?	limited features (double nodes, degenerated elements, intersected elements)	intersections (collision testing)
CAD files support:	STEP, IGES, others.	No	IGES, STEP (with OpenCascade wrapper)	Yes (stl)	Limited support via OpenCASCADE in ElmerGUI
mesh operation:	Merge, copy, refine; convert; boundary layers; extrude, revolve, sweep, loft for 3D geometies	Extrude, rotate, translation, refine	Extrude, rotate, translation, refine	Merge, join, extrude, modular mesh modifier system	Merge, join, extrude, and revolve operations
Parallel possibilities
automatic mesh partitioning:	METIS and space-filling curve partitioning	Yes (METIS)	yes, shared (METIS/Parmetis) and distributed (p4est)	No	partitioning with ElmerGrid using Metis or geometric division, internal partitioning in ElmerSolver using Zoltan	Metis, Parmetis, Hilbert (shared and distributed meshes)	Yes (ParMETIS and SCOTCH)
MPI:	Yes	Yes	Yes	Yes (up to 147k processes)	No	Yes	Yes	Yes
threads:	Supports multithreading	Using OpenMP, RAJA, or OCCA backends	Threading Build Blocks	Yes	threadsafe, some modules threaded and vectorized.	Yes
OpenMP:	Yes	Yes	Yes	Yes (vectorization only)	Yes	Yes, partially	Yes
OpenCL:	No	Through OCCA backends	No	No	No	No
CUDA:	No	Yes	No	since 9.1, see step-64 for matrix-free GPU+MPI example	No	Preliminary API for sparse linear algebra
Solver
Dimension:	0D, 1D, 2D, 3D (can coexist)	1D/2D/3D	Any, possibility to mix and couple problem of different dimension	1/2/3D	0D/1D/2D/3D (dimensions may coexist)	1D/2D/3D (dimensions may coexist)	1/2/3D	1/2/3D	1/2/3D
FE:	Lagrange (order 1-7), Hermite (order 3-7), discontinuous Lagrange (order 0-7), bubble, Gauss point, serendipity, Nedelec	Arbitrary-order Lagrange elements (continuous and discontinuous), Bernstein basis, Nedelec and Raviart-Thomas elements, support for NURBS spaces (IGA)	Continuous and discontinuous Lagrange, Hermite, Argyris, Morley, Nedelec, Raviart-Thomas, composite elements (HCT, FVS), Hierarchical elements, Xfem, easily extensible.	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	Lagrange elements, p-elements up to 10th order, Hcurl conforming elements (linear and quadratic) for	Lagrange, Hierarchic, Discontinuous Monomials, Nedelec	Lagrange, BDM, RT, Nedelic, Crouzeix-Raviart, all simplex elements in the Periodic Table (femtable.org), any	Lagrange (1st-5th order), Crouzeix-Raviart, Hermite
Quadrature:	Gauss-Legendre, Gauss-Lobatto, and uniform quadrature rules.	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.
Transient problems:	Yes, BDF, Runge-Kutta (RK34, Cash-Karp 5, Dormand-Prince 5), and generalized alpha time stepping	Runge-Kutta, SSP, SDIRK, Adams-Bashforth, Adams-Moulton, Symplectic Integration Algorithm, Newmark method, Generalized-alpha method	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.	Yes	implicit-euler explicit-euler crank-nicolson bdf2 explicit-midpoint dirk explicit-tvd-rk-2 newmark-beta	BE, CN, and Fractional-Step-Theta schemes
Predifined equations:	Incompressible Navier-Stokes, heat transfer, convection-diffusion-reaction, linear elasticity, electromagnetics, pressure acoustics, Darcy's law, and support for custom PDE equations	Miniapps and examples for Laplace, elasticity, Maxwell, Darcy, advection, Euler, Helmholtz, and others	Laplace?	Yes (Incompressible Navier-Stokes, Heat transfer (convection-conduction-radiation), Stress analysis, Soft body dynamics, Modal analysis, Electrostatics, Magnetostatics )	Around 50 predefined solvers	Phase Field, Solid Mechanics, Navier-Stokes, Porous Flow, Level Set, Chemical Reactions, Heat Conduction, support for custom PDEs	Incompressible Navier-Stokes, Heat transfer, convection-diffusion-reaction, linear elasticity, electromagnetics, Darcy's, Brinkman equations, and support for custom PDE equations
Automated assembly:	Yes	Yes	Yes	Yes
Visualization:	Built-in	In situ visualization with GLVis. Export to VisIt and ParaView.	External or with the Scilab/Matlab/Python interface. Possibility to perform complex slices.	External (export to *.vtk and many others)	GUI (built-in)	ElmerGUI comes VTK based visualization tool (but Paraview is recommended)	Yes, VTK-based GUI, Python visualizatuion library	Buil-in simple plotting + External	Built-in with optional Plotly and GMV export
Output format:	Text and unstructured VTK-file for data.BMP,PNG, GIF, TIFF, JPEG, glTF, Windows clipboard, Microsoft PowerPoint (for images). GIF, Flash, AVI, WebM (for animatios). Touchstone data (for networks).	VisIt, ParaView (VTU), GLVis format	vtk, gmsh, OpenDX.	.dx .ucd .gnuplot .povray .eps .gmv .tecplot .tecplot_binary .vtk .vtu .svg .hdf5	Several output formats (VTU, gmsh,...)	ExodusII, Xdr, etc.	VTK(.pvd, .vtu) and XDMF/HDF5	GMV and Plotly
Boundary elements solver:	Yes	No	Yes	Existing but without multipole acceleration (not usable for large problems)	No
Use multiple meshes:	Yes including different dimensions and taking account of any transformation.	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
Linear algebra
Used libs:	MUMPS, PARDISO, SPOOLES; ARPACK, BLAS, BLIS, Intel MKL, LAPACK	Built-in and integrated with hypre. Optional integrations with PETSc, Ginkgo, SuperLU, Suite Sparse, libCEED, and more	SuperLU, MUMPS, Built-in.	Built-in + Trilinos, PETSc, and SLEPc	No	Built-in, Hypre, Trilinos, umfpack, MUMPS, Pardiso, etc. (optional)	PETSc, Trilinos, LASPack, SLEPc	PETSc, Trilinos/TPetra, Eigen.	Matlab/Octave built-in (Umfpack), supports integration with the FEniCS and FeatFlow solvers
Iterative matrix solvers:	GMRES, FGMRES, BiCGStab, conjugate gradients, TFQMR, or any precoditioner. Algebraic and geometric multigrid. Domain decomponsition (Schwarz, Schur)	Krylov methods (CG, MINRES, GMRES, BiCGStab)	All Krylov	All Krylov (CG, Minres, GMRES, BiCGStab, QMRS)	GMRES, CG	Built-in Krylov solvers, Krylov and multigrid solvers from external libraries	LASPack serial, PETSc parallel	Matlab/Octave built-in
Preconditioners:	Direct preconditioner, Krylov, SOR, SSOR, SORU, SOR line, SOR gauge, SOR vector, Jacobi, incomplete and hierarchical LU, SAI, SCGS, Vanka, AMS	Algebraic, Geometric, and p-multigrid. Block ILU preconditioning. Support for hypre's AMS and ADS preconditioners for H(curl) and H(div).	Basic ones (ILU, ILUT)	Many, including algebraic multigrid (via Hypre and ML) and geometric multigrid	ILU, Jacobi	Built-in preconditioners (ILU, diagonal, vanka, block) and	LASPack serial, PETSc parallel, algebraic multigrid (via Hypre)	Matlab/Octave built-in
Matrix-free
matrix-free:	Yes	Yes	No	Yes	No	Experimental implementation
matrix-free save memory:	Yes	No	Yes	No
matrix-free speed-up:	Yes	No	Yes	No
Used language
Native language:	Primarily C++ and Java	C++	C++	C++	C++	Fortran (2008 standard)	C++	C++	Matlab / Octave
Bindings to language:	Full API for Java and Matlab (the latter via add-on product)	PyMFEM	Python, Scilab or Matlab	No	No	Python
Other
Predefined equations:	Yes, many predefined physics and multiphysics interfaces in COMSOL Multiphysics and its add-ons.	A large number of Bilinear and Linear forms	Model bricks: Laplace, linear and nonlinear elasticity, Helmholtz, plasticity, Mindlin and K.L. plates, boundary conditions including contact with friction.
Coupled nonlinear problems:	Yes	Yes	Yes
Binary:	Windows, Linux, macOS	Yes, via OpenHPC. Also available as part of Spack, xSDK, E4S, FASTMath, RADIUSS and CEED.	Linux (Debian/Ubuntu)	Linux, Windows (work in progress), Mac	Windows, Linux (launchpad: Debian/Ubuntu), Mac (homebrew) (all with MPI)	Linux (DebianUbuntu), Mac	Windows, Linux, Mac
fullname:	Elmer finite element software
Testing:	Comprehensive unit and regression tests. Continuous integration through Travis CI	3500+ tests	More than 700 consistency tests ensuring backward compatibility	4300+ tests, Testing as a service for derived applications
scripting:	Full API for Java and, through add-on product, Matlab	Runtime parsed mathematical expression in input files	Fully scriptable in as m-file Matlab scripts and the GUI supports exporting models in script format
automatic differentiation:	Yes	Forward-mode for Jacobian computation, symbolic differentiation capabilities
multiphysics:	Yes, full custom and predefined multiphysics couplings between all kinds of physics	Arbitrary multiphysics couplings are supported	Arbitrary multiphysics couplings are supported	Arbitrary multiphysics couplings are supported
Optimization Solvers:	With the Optimization Module add-on: Coorinate search, Nelder-Mead, Monte Carlo, BOBYQA, COBYLA, SNOPT, MMA, Levenberg-Marquardt	Integration with HiOp. Built-in SLBQP optimizer	Support for TAO- and nlopt-based constrained optimization solvers incorporating gradient and Hessian information.
HIP:	Yes
Symbolic derivation of the tangent system for nonlinear problems:	Yes
Support for fictitious domain methods:	Yes

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SoftwareFeaturesDeveloperVersionReleasedLicensePricePlatform
Agros2DMultiplatform open source application for the solution of physical problems based on the Hermes libraryUniversity of West Bohemia3.22014-03-03GNU GPLFreeLinux, Windows
CalculiXIt 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 applicationsGuido Dhondt, Klaus Wittig2.162019-11-24GNU GPLFreeLinux, Windows
DIANA FEAGeneral purpose finite element package utilised by civil, structural and geotechnical engineers.DIANA FEA BV, The Netherlands10.12016-11-14PaidWindows, Linux
deal.IIComprehensive 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.9.02018-05-12LGPLFreeLinux, Unix, Mac OS X, Windows
DUNEDistributed and Unified Numerics Environment, written in C++DUNE Developer team2.4.12016-02-29GPL Version 2 with Run-Time ExceptionFreeLinux, Unix, Mac OS X
ElmerOpen source multiphysical simulation software developed by Finnish Ministry of Education's CSC, written primarily in Fortran (written in Fortran90, C and C++)CSC8.22016-03-15GPLFreeLinux, Mac OS X, Windows
FEBioFinite Elements for BiomechanicsUniversity of Utah (MRL), Columbia University (MBL)2.7April, 2018CustomFreeLinux, Mac OS X, Windows
FEniCS ProjectSoftware package developed by American and European researchers with the goal to enable automated solution of differential equationsFEniCS Team1.6.02015-07-29LGPL (Core) & GPL/LGPL (Non-Core)[1]FreeLinux, Unix, Mac OS X, Windows
FEATool MultiphysicsMATLAB FEM and PDE multiphysics simulation toolboxPrecise Simulation1.102019-05-17Free for personal use[2]Windows, Mac OS X, Linux, Unix
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]4.2.12019-06-06LGPLFreeLinux, MacOS, Windows, Solaris
GOMAGOMA 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 Mexico6.1Aug 28, 2015GPL Version 2FreeLinux
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 Pommier5.02015-07LGPLFreeUnix, Mac OS X, Windows
Hermes ProjectModular C/C++ library for rapid development of space- and space-time adaptive hp-FEM solvershp-FEM group3.02014-03-01LGPLFreeLinux, Unix, Mac OS X, Windows
Mathematica[6]General purpose computation software.Wolfram Research12.1.1 (June 17, 2020; 4 months ago) [±][7]RegularlyProprietaryLinux, Mac OS X, Windows, Raspbian, Online service.
MATLAB Partial Differential Equation ToolboxMATLAB Toolbox for solving structural, thermal, electromagnetics, and other general PDEsMathWorks3.3 (R2019b)2019-09-11Linux, Mac OS X, Windows
MFEMMFEM 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 team4.12020-03-10BSDFreeLinux, Unix, Mac OS X, Windows
MoFEM JosePHMesh Oriented hp-FE code, written in C++University of Glasgow0.6.82017-11-16LGPLFreeUnix, Mac OS X
MOOSEObject Oriented FE framework, written in C++Idaho National LaboratoryregularlyLGPLFreeUnix, Mac OS X
OOFEMObject Oriented Finite EleMent solver, written in C++Bořek Patzák2.42016-02-15GPL Version 2FreeUnix, Windows
OpenSeesOpen System for Earthquake Engineering SimulationNon CommercialFreeUnix, Linux, Windows
SESAM (FEM)Software suite for structural and hydrodynamic analysis of ships and offshore structuresDNV GLregularlyProprietary, SaaSWindows, Web browser
Range SoftwareMultiphysics Finite Element Analysis SoftwareTomáš Šoltys3.02018-04-30GPLFreeLinux, Windows
Z88/Z88AuroraFreeware 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 RiegZ88 V15, Z88Aurora V52017-07-17, 2019-04-01GNU GPL, CustomFreeLinux, Windows, Mac OS X
AbaqusAdvanced Franco-USA software from SIMULIA, owned by Dassault SystemesAbaqus Inc.20192019-12Linux, Windows
CONSELFCAE simulation from your browserCONSELF SRL2.92015-10SaaSFreemiumWeb browser
FreeCADParametric 3D modeler with a FEM workbench allowing it to use external solvers like CalculiX, Z88, Elmer, and OpenFoamFreeCAD Team0.1812 March 2019LGPL 2FreeLinux, Windows, Mac OS X
ADINAFinite element software for structural, fluid, heat transfer, electromagnetic, and multiphysics problems, including fluid-structure interaction and thermo-mechanical couplingAdina R&D
Advance DesignBIM software for FEM structural analysis, including international design eurocodesGRAITEC20142013-09
Autodesk SimulationFinite Element software of AutodeskAutodeskWindows
ANSYSUS-based and -developed full CAE software packageAnsys Inc.19.22018-09-18Free student version available, up to 32,000 nodes/elements[8]Windows, Linux
COMSOL MultiphysicsCOMSOL Multiphysics Finite Element Analysis Software (formerly FEMLAB)COMSOL Inc.5.52019-11-14Linux, Mac OS X, Windows, Web browser
CosmosWorksPart of SolidWorksDassault Systèmes SolidWorks Corp.Windows
QuickfieldEM, Heat Transfer and Stress Analysis [9]Tera Analysis Ltd6.4 [10]2020-04-17Free Student Edition available[11]Windows
Pam CrashBest used for explicit dynamics / crash analysisESI15.5.12020-03-05Linux, Windows
LS-DYNABest known for explicit dynamics / crash analysisLSTC - Livermore Software Technology CorporationR8.02015-03Linux, Windows
Midas CivilFinite element software for bridge structural modeling, analysis and designMIDAS IT - MIDAS Information Technology2020 v3.22001-11Windows, Linux
NastranOriginally developed for NASA, now available commercially from several software companiesMSC NASTRAN, Siemens PLM NX Nastran[12]20142014Linux, Mac OS X, Windows
RFEM3D finite element analysis softwareDlubal Software5.062016-02Free student license available[13]Windows
SimScaleGerman 100% web-based CAE platformSimScale GmbH142013-07SaaSFree community version available[14]Web browser
VisualFEAFinite element software for structural, geotechnical, heat transfer and seepage analysisIntuition Software5.112016-01Proprietary softwareFree educational version available[15]Mac OS X, Windows
JCMsuiteFinite element software for the analysis of electromagnetic waves, elasticity and heat conductionJCMwave GmbH3.6.12017-01-27Linux, Windows
JMAG2D and 3D finite element analysis software for electromagnetic field, thermal, structuralJSOL18.12019-06Education pack availableLinux, Windows, Web browser
StressCheckFinite element analysis software based on hp-FEM with a focus on solid mechanics applicationsESRD, Inc.10.52019-06-06Windows
SDC VerifierAn extension for Ansys Mechanical, Femap and Simcenter with out of the box predefined standards on fatigue, stiffener and plate buckling, beam member checks, joint checks and weld. Such as AISC 360-10, API 2A RP, ISO 19902, Norsok N004, DIN15018, Eurocode 3, FEM 1.001, ABS 2004, ABS 2014, DNV RP-C201 2010, DNV CN30/1995, FKM etc.SDC Verifier5.3.12020-03Student version availableWindows
Licence: Free; Rated 3/5 By 11,686 People. What does Xcode do? Xcode includes everything developers need to create great applications for Mac, iPhone, iPad, Apple TV, and Apple Watch. Xcode provides developers a unified workflow for user interface design, coding, testing, and debugging.
This is not our software, we didn't create it. We're just giving you a place to find it. If you cant figure out the install or something isn't working, there are other versions floating around the web you can try.
Python Software Foundation. The mission of the Python Software Foundation is to promote, protect, and advance the Python programming language, and to support and facilitate the growth of a diverse and international community of Python programmers. Become a Member Donate to the PSF. It is a free JavaScript IDE and a great HTML5 IDE for your day-to-day use. This web development IDE comes with cool code analyzing and editing tools compatible with the latest Java 8 technologies. This makes NetBeans 8.1 one of the best if not the best JavaScript editor.
Feature comparison[edit]This table is contributed by a FEA-compare[16] project, which provides an alternative view of this table with the first row and Feature column being fixed for ease of table exploration. 
FeatureCOMSOL MultiphysicsMFEMGetFEM++deal.IIRange SoftwareElmerMOOSEFEniCS ProjectFEATool Multiphysics
license:ProprietaryBSDLGPLLGPLGPLGNU (L)GPLLGPLGNU GPLLGPLProprietary
GUI:YesNoNoNoYesYes, partial functionalityYesPostprocessing onlyMatlab and Octave GUI
Documentation:User guides, reference manuals, API documentation, application libraries with solved examples, online tutorialsexamples, miniapps, Doxygen, online documentationUser doc, tutorials, demos, developer's guidetutorials, video lectures, Doxygenuser manual, tutorialsElmerSolver Manual, Elmer Models Manual, ElmerGUI Tutorials, etc. LaTeX documentation available in PDFsDoxygen, Markdown, example codes, test inputsTutorial, demos, bookOnline FEATool documentation, tutorials, and model examples
Mesh
mesh elements:Intervals (1D); triangles, quadrilaterals (2D and 3D boundaries); tetrahedra, pyramids, prisms, hexahedra (3d)segments, triangles, quadrilaterals, tetrahedra, hexahedra, prismsintervals, triangles, tetrahedra, quads, hexes, prisms, some 4D elements, easily extensible.intervals (1d), quads (2d), and hexes (3d) onlypoints(0d), segments (1d), triangles, quadrilaterals (2d), tetrahedra, hexahedra (3d)intervals (1d), triangles, quadrilaterals (2d), tetrahedra, pyramids, wedges, hexahedra (3d)Tria, Quad, Tetra, Prism, etc.intervals, triangles, tetrahedra (quads, hexes - work in progress)intervals, triangles, tetrahedra, quads, hexes
mesh high-order mapping:Any? Second-order is the default for most cases.arbitrary-order meshes and NURBS meshesany orderYes, for Lagrange elements(Any - work in progress)
mesh generation:Built-inmeshing miniapps and target-matrix mesh optimizationExperimental in any dimension + predefined shapes + Extrusion.external+predefined shapesYes (TetGen)Limited own meshing capabilities with ElmerGrid and netgen/tetgen APIs. Internal extrusion and mesh multiplication on parallel level.Built-inYes, Constructive Solid Geometry (CSG) supported via mshr (CGAL and Tetgen used as backends)Integrated DistMesh, Gmsh, and Triangle GUI and CLI interfaces
mesh adaptive-refinement:Yes, full adaptive mesh refinement (h-refinement); no p-refinement but several higher-order elements are included. Mesh adaptation on the whole or parts of the geometry, for stationary, eigenvalue, and time-dependent simulations and by rebuilding the entire mesh or refining chosen mesh elements.conforming and non-conforming adaptive refinement for tensor product and simplex meshesOnly hh, p, and hp for CG and DGh-refinement for selected equationsh, p, mached hp, singular hpOnly h
mesh inputoutput:STL, PLY, NASTRAN, 3MF, VRML (import only), native formatVTK, Gmsh, CUBIT, NETGEN, TrueGrid, and MFEM formatgmsh, GiD, Ansysrbm, stlExodusII, Nemesis, Abaqus, Ensight, Gmsh, GMV, OFF, TecPlot TetGen, etc.XDMF (and FEniCS XML)FeatFlow, FEniCS XML, GiD, Gmsh, GMV, Triangle
mesh check:Avoids inverted and degenerated elements; various mesh quality measures?limited features (double nodes, degenerated elements, intersected elements)intersections (collision testing)
CAD files support:STEP, IGES, others.NoIGES, STEP (with OpenCascade wrapper)Yes (stl)Limited support via OpenCASCADE in ElmerGUI
mesh operation:Merge, copy, refine; convert; boundary layers; extrude, revolve, sweep, loft for 3D geometiesExtrude, rotate, translation, refineExtrude, rotate, translation, refineMerge, join, extrude, modular mesh modifier systemMerge, join, extrude, and revolve operations
Parallel possibilities
automatic mesh partitioning:METIS and space-filling curve partitioningYes (METIS)yes, shared (METIS/Parmetis) and distributed (p4est)Nopartitioning with ElmerGrid using Metis or geometric division, internal partitioning in ElmerSolver using ZoltanMetis, Parmetis, Hilbert (shared and distributed meshes)Yes (ParMETIS and SCOTCH)
MPI:YesYesYesYes (up to 147k processes)NoYesYesYes
threads:Supports multithreadingUsing OpenMP, RAJA, or OCCA backendsThreading Build BlocksYesthreadsafe, some modules threaded and vectorized.Yes
OpenMP:YesYesYesYes (vectorization only)YesYes, partiallyYes
OpenCL:NoThrough OCCA backendsNoNoNoNo
CUDA:NoYesNosince 9.1, see step-64 for matrix-free GPU+MPI exampleNoPreliminary API for sparse linear algebra
Solver
Dimension:0D, 1D, 2D, 3D (can coexist)1D/2D/3DAny, possibility to mix and couple problem of different dimension1/2/3D0D/1D/2D/3D (dimensions may coexist)1D/2D/3D (dimensions may coexist)1/2/3D1/2/3D1/2/3D
FE:Lagrange (order 1-7), Hermite (order 3-7), discontinuous Lagrange (order 0-7), bubble, Gauss point, serendipity, NedelecArbitrary-order Lagrange elements (continuous and discontinuous), Bernstein basis, Nedelec and Raviart-Thomas elements, support for NURBS spaces (IGA)Continuous and discontinuous Lagrange, Hermite, Argyris, Morley, Nedelec, Raviart-Thomas, composite elements (HCT, FVS), Hierarchical elements, Xfem, easily extensible.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 elementsLagrange elements, p-elements up to 10th order, Hcurl conforming elements (linear and quadratic) forLagrange, Hierarchic, Discontinuous Monomials, NedelecLagrange, BDM, RT, Nedelic, Crouzeix-Raviart, all simplex elements in the Periodic Table (femtable.org), anyLagrange (1st-5th order), Crouzeix-Raviart, Hermite
Quadrature:Gauss-Legendre, Gauss-Lobatto, and uniform quadrature rules.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.
Transient problems:Yes, BDF, Runge-Kutta (RK34, Cash-Karp 5, Dormand-Prince 5), and generalized alpha time steppingRunge-Kutta, SSP, SDIRK, Adams-Bashforth, Adams-Moulton, Symplectic Integration Algorithm, Newmark method, Generalized-alpha methodAny 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.Yesimplicit-euler explicit-euler crank-nicolson bdf2 explicit-midpoint dirk explicit-tvd-rk-2 newmark-betaBE, CN, and Fractional-Step-Theta schemes
Predifined equations:Incompressible Navier-Stokes, heat transfer, convection-diffusion-reaction, linear elasticity, electromagnetics, pressure acoustics, Darcy's law, and support for custom PDE equationsMiniapps and examples for Laplace, elasticity, Maxwell, Darcy, advection, Euler, Helmholtz, and othersLaplace?Yes (Incompressible Navier-Stokes, Heat transfer (convection-conduction-radiation), Stress analysis, Soft body dynamics, Modal analysis, Electrostatics, Magnetostatics )Around 50 predefined solversPhase Field, Solid Mechanics, Navier-Stokes, Porous Flow, Level Set, Chemical Reactions, Heat Conduction, support for custom PDEsIncompressible Navier-Stokes, Heat transfer, convection-diffusion-reaction, linear elasticity, electromagnetics, Darcy's, Brinkman equations, and support for custom PDE equations
Automated assembly:YesYesYesYes
Visualization:Built-inIn situ visualization with GLVis. Export to VisIt and ParaView.External or with the Scilab/Matlab/Python interface. Possibility to perform complex slices.External (export to *.vtk and many others)GUI (built-in)ElmerGUI comes VTK based visualization tool (but Paraview is recommended)Yes, VTK-based GUI, Python visualizatuion libraryBuil-in simple plotting + ExternalBuilt-in with optional Plotly and GMV export
Output format:Text and unstructured VTK-file for data.BMP,PNG, GIF, TIFF, JPEG, glTF, Windows clipboard, Microsoft PowerPoint (for images). GIF, Flash, AVI, WebM (for animatios). Touchstone data (for networks).VisIt, ParaView (VTU), GLVis formatvtk, gmsh, OpenDX.*.dx *.ucd *.gnuplot *.povray *.eps *.gmv *.tecplot *.tecplot_binary *.vtk *.vtu *.svg *.hdf5Several output formats (VTU, gmsh,...)ExodusII, Xdr, etc.VTK(.pvd, .vtu) and XDMF/HDF5GMV and Plotly
Boundary elements solver:YesNoYesExisting but without multipole acceleration (not usable for large problems)No
Use multiple meshes:Yes including different dimensions and taking account of any transformation.Yes, autorefined from same initial mesh for each variable of a coupled problemContinuity of non-conforming interfaces ensured by mortar finite elementsYes, including non-matching meshes
Linear algebra
Used libs:MUMPS, PARDISO, SPOOLES; ARPACK, BLAS, BLIS, Intel MKL, LAPACKBuilt-in and integrated with hypre. Optional integrations with PETSc, Ginkgo, SuperLU, Suite Sparse, libCEED, and moreSuperLU, MUMPS, Built-in.Built-in + Trilinos, PETSc, and SLEPcNoBuilt-in, Hypre, Trilinos, umfpack, MUMPS, Pardiso, etc. (optional)PETSc, Trilinos, LASPack, SLEPcPETSc, Trilinos/TPetra, Eigen.Matlab/Octave built-in (Umfpack), supports integration with the FEniCS and FeatFlow solvers
Iterative matrix solvers:GMRES, FGMRES, BiCGStab, conjugate gradients, TFQMR, or any precoditioner. Algebraic and geometric multigrid. Domain decomponsition (Schwarz, Schur)Krylov methods (CG, MINRES, GMRES, BiCGStab)All KrylovAll Krylov (CG, Minres, GMRES, BiCGStab, QMRS)GMRES, CGBuilt-in Krylov solvers, Krylov and multigrid solvers from external librariesLASPack serial, PETSc parallelMatlab/Octave built-in
Preconditioners:Direct preconditioner, Krylov, SOR, SSOR, SORU, SOR line, SOR gauge, SOR vector, Jacobi, incomplete and hierarchical LU, SAI, SCGS, Vanka, AMSAlgebraic, Geometric, and p-multigrid. Block ILU preconditioning. Support for hypre's AMS and ADS preconditioners for H(curl) and H(div).Basic ones (ILU, ILUT)Many, including algebraic multigrid (via Hypre and ML) and geometric multigridILU, JacobiBuilt-in preconditioners (ILU, diagonal, vanka, block) andLASPack serial, PETSc parallel, algebraic multigrid (via Hypre)Matlab/Octave built-in
Matrix-free
matrix-free:YesYesNoYesNoExperimental implementation
matrix-free save memory:YesNoYesNo
matrix-free speed-up:YesNoYesNo
Used language
Native language:Primarily C++ and JavaC++C++C++C++Fortran (2008 standard)C++C++Matlab / Octave
Bindings to language:Full API for Java and Matlab (the latter via add-on product)PyMFEMPython, Scilab or MatlabNoNoPython
Other
Predefined equations:Yes, many predefined physics and multiphysics interfaces in COMSOL Multiphysics and its add-ons.A large number of Bilinear and Linear formsModel bricks: Laplace, linear and nonlinear elasticity, Helmholtz, plasticity, Mindlin and K.L. plates, boundary conditions including contact with friction.
Coupled nonlinear problems:YesYesYes
Binary:Windows, Linux, macOSYes, via OpenHPC. Also available as part of Spack, xSDK, E4S, FASTMath, RADIUSS and CEED.Linux (Debian/Ubuntu)Linux, Windows (work in progress), MacWindows, Linux (launchpad: Debian/Ubuntu), Mac (homebrew) (all with MPI)Linux (DebianUbuntu), MacWindows, Linux, Mac
fullname:Elmer finite element software
Testing:Comprehensive unit and regression tests. Continuous integration through Travis CI3500+ testsMore than 700 consistency tests ensuring backward compatibility4300+ tests, Testing as a service for derived applications
scripting:Full API for Java and, through add-on product, MatlabRuntime parsed mathematical expression in input filesFully scriptable in as m-file Matlab scripts and the GUI supports exporting models in script format
automatic differentiation:YesForward-mode for Jacobian computation, symbolic differentiation capabilities
multiphysics:Yes, full custom and predefined multiphysics couplings between all kinds of physicsArbitrary multiphysics couplings are supportedArbitrary multiphysics couplings are supportedArbitrary multiphysics couplings are supported
Optimization Solvers:With the Optimization Module add-on: Coorinate search, Nelder-Mead, Monte Carlo, BOBYQA, COBYLA, SNOPT, MMA, Levenberg-MarquardtIntegration with HiOp. Built-in SLBQP optimizerSupport for TAO- and nlopt-based constrained optimization solvers incorporating gradient and Hessian information.
HIP:Yes
Symbolic derivation of the tangent system for nonlinear problems:Yes
Support for fictitious domain methods:Yes
References[edit]^'FEniCS Project'. Retrieved 2017-06-21.
^'FEATool Multiphysics - Product Information'. Retrieved 2018-06-12.
^'FreeFem++'. freefem.org. Retrieved 2018-11-30.
^'Sorbonne Université | Lettres, Médecine, Sciences'. www.sorbonne-universite.fr. Retrieved 2018-11-30.
^Curie, UPMC - Université Pierre et Marie. 'Jacques-Louis Lions Laboratory (LJLL) - UMR 7598 - SCIENCE'. sciences.sorbonne-universite.fr. Retrieved 2018-11-30.
^Mathematica Documentation
^'Mathematica Quick Revision History'. Retrieved 2019-04-16.
^'Student Products - Free Simulation Software'. Ansys.com. Retrieved 2017-05-28.
^http://quickfield.com/pack.htm
^http://quickfield.com/allnews/qf64.htm
^http://www.quickfield.com/free_soft.htm
^'NX Nastran: Siemens PLM Software'. Plm.automation.siemens.com. Retrieved 2017-05-28.
^'Free Student License | Dlubal Software'. Dlubal.com. Retrieved 2017-05-28.
^'Plans & Pricing - SimScale Simulation Platform'. Simscale.com. Retrieved 2017-05-28.
^'Browsing VisualFEA (Finite Element Analysis) by Title'. Ecommons.cornell.edu. 2016-03-01. Retrieved 2017-05-28.
^GitHub For ease of maintenance of this table, please, first consider to contribute changes directly to the project instead of editing the table below, however, direct wiki edits are also valid and will be backported
Retrieved from 'https://en.wikipedia.org/w/index.php?title=List_of_finite_element_software_packages&oldid=982458808'
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