Energetic Galerkin BEM and domain decomposition for 2D wave propagation problems in multi-layered media

The aim of the talk is to present an advanced implementation of a direct spacetime Galerkin boundary element method for the discretization of retarded potential boundary integral equations related to Dirichlet-Neumann 2D wave propagation problems defined on multi-domains. This technique, recently introduced for the case of a single-domain [1, 2, 4], is based on a natural energy identity satisfied by the solution of the corresponding differential problem. Various numerical simulations involving both bounded and unbounded multi-domains are presented and, through comparisons with available literature results, accuracy and stability of the method applied to layered media are experimentally observed.