Symmetric coupling of LDG-FEM and DG-BEM
Norbert Heuer, Salim Meddahi and Francisco-Javier Sayas
J. Sci. Comput. 68 (1), 303-325, 2016.
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.