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arXiv · 1310.3201

Symmetric coupling of LDG-FEM and DG-BEM

Norbert Heuer·Salim Meddahi·Francisco-Javier Sayas
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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.

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Norbert Heuer, Salim Meddahi, Francisco-Javier Sayas. 2013-10-11. Symmetric coupling of LDG-FEM and DG-BEM. https://arxiv.org/abs/1310.3201

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