2013/10/11 by Heuer, Norbert, Meddahi, Salim, Sayas, Francisco-Javier
#65N12 #65N15 #65N30 #65N38 #FOS: Mathematics #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.1310.3201
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.