FEM-BEM mortar coupling for the Helmholtz problem in three dimensions
arXiv:2004.03523 · doi:10.1016/j.camwa.2020.04.014
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.
References in corpus (4)
- Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity
- Convergence of infinite element methods for scalar waveguide problems
- An overlapping decomposition framework for wave propagation in heterogeneous and unbounded media: Formulation, analysis, algorithm, and simulation
- Simultaneous quasi-optimal convergence in FEM-BEM coupling