FEM-BEM mortar coupling for the Helmholtz problem in three dimensions
Numerical Analysis
2024-07-25 v1 Numerical Analysis
Abstract
We present a FEM-BEM coupling strategy for time-harmonic acoustic scattering in media with variable sound speed. The coupling is realized with the aid of a mortar variable that is an impedance trace on the coupling boundary. The resulting sesquilinear form is shown to satisfy a Garding inequality. Quasi-optimal convergence is shown for sufficiently fine meshes. Numerical examples confirm the theoretical convergence results.
Cite
@article{arxiv.2004.03523,
title = {FEM-BEM mortar coupling for the Helmholtz problem in three dimensions},
author = {Lorenzo Mascotto and Jens Markus Melenk and Ilaria Perugia and Alexander Rieder},
journal= {arXiv preprint arXiv:2004.03523},
year = {2024}
}