Energetic BEM-FEM coupling for wave propagation in unbounded domains

Starting from a recently developed energetic space-time weak formulation of boundary integral equations (BIEs) related to wave propagation problems defined on single and multi domains, a coupling algorithm is presented, which allows a flexible use of finite and boundary element methods as local discretization techniques, in order to efficiently treat unbounded media. The coupling is based on a weak reformulation in the energetic framework of partial differential equations associated to BIEs. Some details on quadrature schemes developed for the numerical evaluation of matrix elements in the linear system of the final time-marching procedure will be introduced and emphasis will be given to the stability analysis of the proposed energetic approach. Several numerical results on wave propagation model problems will be presented and discussed.