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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.
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 ...
MFEM is free software released under a BSD license. [ 1 ] The library consists of C++ classes that serve as building blocks for developing finite element solvers applicable to problems of fluid dynamics , [ 2 ] structural mechanics , [ 3 ] electromagnetics , [ 4 ] radiative transfer [ 5 ] and many other.
The FEniCS Project is a collection of free and open-source software components with the common goal to enable automated solution of differential equations.The components provide scientific computing tools for working with computational meshes, finite-element variational formulations of ordinary and partial differential equations, and numerical linear algebra.
The goal of modal analysis in structural mechanics is to determine the natural mode shapes and frequencies of an object or structure during free vibration.It is common to use the finite element method (FEM) to perform this analysis because, like other calculations using the FEM, the object being analyzed can have arbitrary shape and the results of the calculations are acceptable.
Matrix-free conjugate gradient method has been applied in the non-linear elasto-plastic finite element solver. [7] Solving these equations requires the calculation of the Jacobian which is costly in terms of CPU time and storage. To avoid this expense, matrix-free methods are employed.
Thus, "free software" is a matter of liberty, not price. To understand the concept, you should think of "free" as in "free speech," not as in "free beer". We sometimes call it "libre software," borrowing the French or Spanish word for "free" as in freedom, to show we do not mean the software is gratis. —
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