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Finite Element Libraries

Libraries for solving partial differential equations using finite element methods and related numerical techniques.

10 projects

6,587 contributors

$426M

MOOSE

MOOSE (Multiphysics Object-Oriented Simulation Environment) is a finite element framework developed by Idaho National Laboratory for solving complex engineering and scientific problems. It provides a flexible, parallel computational framework for coupled systems of nonlinear partial differential equations.

Contributors

2,058

Organizations

76

Software value

$100M

MFEM

MFEM is a free, lightweight, scalable C++ library for finite element methods. It provides high-performance mathematical algorithms for finite element discretization, linear algebra operations, mesh representation, and parallel computing capabilities for solving partial differential equations.

Contributors

1,081

Organizations

94

Software value

$18M

deal.II

deal.II is an open-source finite element analysis library designed for computational science and numerical simulations. It provides tools and algorithms for solving partial differential equations using adaptive finite element methods, with particular focus on scientific computing and engineering applications.

Contributors

1,027

Organizations

107

Software value

$153M

SU2

SU2 is an open-source suite of tools for performing computational fluid dynamics (CFD) simulations and solving partial differential equations. It is designed for aerodynamic shape optimization and is capable of simulating compressible, incompressible, and multiphysics flows.

Contributors

858

Organizations

53

Software value

$21M

Kratos Multiphysics

Kratos Multiphysics is an open-source framework for the implementation of numerical methods for solving engineering problems, particularly focused on finite element methods, computational fluid dynamics, and structural mechanics. It provides a unified environment for multi-physics simulations with parallel processing capabilities.

Contributors

735

Organizations

39

Software value

$123M

DOLFINx

DOLFINx is a high-performance finite element library and computational framework for solving partial differential equations (PDEs). It is part of the FEniCS Project, providing efficient tools for automated solution of differential equations through high-level Python and C++ interfaces.

Contributors

486

Organizations

57

Software value

$2.4M

Open Porous Media Simulators

Open Porous Media (OPM) Simulators is a software suite for reservoir simulation and modeling of fluid flow in porous media. It provides numerical methods and computational tools for simulating multi-phase flow in oil reservoirs and other subsurface formations.

Contributors

342

Organizations

25

Software value

$8M

ASPECT

A parallel, extensible finite element code to simulate convection in both 2D and 3D models.

This project hasn't been onboarded to LFX Insights.

Feel++

:gem: Feel++: Finite Element Embedded Language and Library in C++

This project hasn't been onboarded to LFX Insights.

Goma

A Full-Newton Finite Element Program for Free and Moving Boundary Problems with Coupled Fluid/Solid Momentum, Energy, Mass, and Chemical Species Transport

This project hasn't been onboarded to LFX Insights.
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