  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.

Numerical Analysis