varFEM: variational formulation based programming for finite element methods in Matlab
Yue Yu
TL;DR
varFEM introduces a MATLAB-based programming framework inspired by FreeFEM, facilitating finite element method implementations through a variational formulation approach, making FEM more accessible and easier to implement.
Contribution
This work presents a novel MATLAB library that mimics FreeFEM's programming style for finite element methods using variational formulations.
Findings
Simplifies FEM implementation in MATLAB
Enables easier and more intuitive FEM coding
Demonstrates effectiveness through example problems
Abstract
This paper summarizes the development of varFEM, which provides a realization of the programming style in FreeFEM by using the Matlab language.
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Taxonomy
TopicsContact Mechanics and Variational Inequalities · Advanced Numerical Methods in Computational Mathematics · Soil, Finite Element Methods