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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 ...
FreeFem++ is a programming language and a software focused on solving partial differential equations using the finite element method. FreeFem++ is written in C++ and developed and maintained by Université Pierre et Marie Curie and Laboratoire Jacques-Louis Lions. It runs on Linux, Solaris, macOS and Microsoft Windows systems.
FEATool Multiphysics is a fully integrated physics and PDE simulation environment where the modeling process is subdivided into six steps; preprocessing (CAD and geometry modeling), mesh and grid generation, physics and PDE specification, boundary condition specification, solution, and postprocessing and visualization.
The software runs on Unix and Windows platforms and can be compiled on a large variety of compilers, using the CMake building tool. The solver can also be used in a multi-host parallel mode on platforms that support MPI. Elmer's parallelisation capability is one of the strongest sides of this solver.
PAW is a free data analysis package developed at CERN. Portable, Extensible Toolkit for Scientific Computation (PETSc), is a suite of data structures and routines for the scalable solution of scientific applications modeled by partial differential equations. QUADPACK is a FORTRAN 77 library for numerical integration of one-dimensional functions
Method of lines - the example, which shows the origin of the name of method. The method of lines (MOL, NMOL, NUMOL [1] [2] [3]) is a technique for solving partial differential equations (PDEs) in which all but one dimension is discretized.
MFEM is a free, lightweight, scalable C++ library for finite element methods. Origin, a software package that is widely used for making scientific graphs. It comes with its own C/C++ compiler that conforms quite closely to ANSI standard. PAW is a free data analysis package developed at CERN.
Even more generally, there is an important class of elliptic systems which consist of coupled partial differential equations for multiple 'unknown' functions. [6] For example, the Cauchy–Riemann equations from complex analysis can be viewed as a first-order elliptic system for a pair of two-variable functions.