GMSH-FEM: An Efficient Finite Element Library Based on GMSH

Abstract

GmshFem is an open source C++ finite element library based on the application programming interface of Gmsh. Both share the same design philosophy: to be fast, light and user-friendly. This paper presents the main principles of GmshFem, as well as some scalability results for high-order scalar and vector finite element assembly on multi-core architectures.

A Well-Conditioned Weak Coupling of Boundary Element and High-Order Finite Element Methods for Time-Harmonic Electromagnetic Scattering by Inhomogeneous Objects

“…We present in this section some numerical examples to validate and analyze the behaviour of the weak FEM-BEM coupling algorithm 1. All the numerical tests were performed using GmshFEM [36], a newly developed open-source finite element library based on Gmsh [19] and the open-source boundary element library Bempp-cl [39]. Three scatterers are considered: the unit sphere, the unit cube and the same cube with a reentrant corner (see Fig.…”

A non-overlapping domain decomposition method with perfectly matched layer transmission conditions for the Helmholtz equation

“…The wavenumber is k = 4π and the characteristic mesh size is h ≈ 4π/15. The numerical results are obtained with GmshDDM 1 , a dedicated C++ code based on the open-source finite element solver GmshFEM [55], the efficient finite element library based on Gmsh [34].…”

Electrostatic Discharge Simulation Using a GPU-Accelerated DGTD Solver Targeting Modern Graphics Processors

“…This formulation is solved with our FEM code [11] on the same meshes used for the DG computation. While multiple FEM strategies are possible, in order to have numerical properties similar to DG, we chose to do temporal integration via a Newmark β " 1 {2, γ " 1 {4 scheme which, like the Leapfrog scheme, is non-dissipative.…”