Domain Decomposition Coupling of FEM and BEM

In this paper, we propose a Dirichlet Neumann domain decomposition finite element/boundary element coupling method with initial Dirichlet data assumed on the FEM/BEM interface approached from the FEM sub-domain. The method accounts for situations where the Neumann boundary conditions are specified on the entire external boundary of the FEM sub-domain. We also investigate the convergence of the method. The theoretical analysis provides an interval from which the relaxation parameter has to be chosen in order to achieve convergence.