Symmetric coupling of LDG-FEM and DG-BEM
Numerical Analysis
2013-10-14 v1
Abstract
We analyze a discontinuous Galerkin FEM-BEM scheme for a second order elliptic transmission problem posed in the three-dimensional space. The symmetric variational formulation is discretized by nonconforming Raviart-Thomas finite elements on a general partition of the interior domain coupled with discontinuous boundary elements on an independent quasi-uniform mesh of the transmission interface. We prove (almost) quasi-optimal convergence of the method and confirm the theory by a numerical experiment. In addition, we consider the case when continuous rather than discontinuous boundary elements are used.
Keywords
Cite
@article{arxiv.1310.3201,
title = {Symmetric coupling of LDG-FEM and DG-BEM},
author = {Norbert Heuer and Salim Meddahi and Francisco-Javier Sayas},
journal= {arXiv preprint arXiv:1310.3201},
year = {2013}
}
Comments
25 pages, 2 figures