FEM and BEM simulations with the Gypsilab framework

TL;DR

Gypsilab is a MATLAB framework designed to simplify the development of FEM and BEM simulations, with a focus on ease of use, supporting multiphysics problems, and demonstrating performance in acoustics and electromagnetics.

Contribution

The paper introduces Gypsilab, a MATLAB-based framework that streamlines FEM and BEM development, including implementation details, example codes, and performance comparisons.

Findings

Gypsilab enables simplified FEM and BEM simulations in MATLAB.

Performance of Gypsilab is competitive with FreeFem++ in acoustics and electromagnetics.

Use of compressed H-matrices enhances BEM efficiency.

Abstract

Gypsilab is a Matlab framework which aims at simplifying the development of numerical methods that apply to the resolution of problems in multiphysics, in particular, those involving FEM or BEM simulations. The peculiarities of the framework, with a focus on its ease of use, are shown together with the methodology that have been followed for its development. Example codes that are short though representative enough are given both for FEM and BEM applications. A performance comparison with FreeFem++ is provided, and a particular emphasis is made on problems in acoustics and electromagnetics solved using the BEM and for which compressed H-matrices are used.