  In this paper we discuss a hybridised method for FEM-BEM coupling. The
coupling from both sides use a Nitsche type approach to couple to the trace
variable. This leads to a formulation that is robust and flexible with respect
to approximation spaces and can easily be combined as a building block with
other hybridised methods. Energy error norm estimates and the convergence of
Jacobi iterations are proved and the performance of the method is illustrated
on some computational examples.
