FEM and BEM simulations with the Gypsilab framework
For researchers and engineers needing a user-friendly Matlab tool for multiphysics FEM/BEM simulations, though incremental over existing frameworks.
The paper presents Gypsilab, a Matlab framework for FEM and BEM simulations, demonstrating its ease of use and performance comparable to FreeFem++ in acoustics and electromagnetics problems.
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.