Analysis of Damped Waves Using Energetic BEM-FEM Coupling

Starting from a recently developed energetic space-time weak formulation of boundary integral equations 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 tech- niques, in order to efficiently solve damped wave equation over unbounded multidomains. Partial differential equations associated to boundary integral equations will be weakly reformulated by the energetic approach and a particular emphasis will be given to the experimental analysis of the stability of the proposed method. In fact, recently proved theoretical properties of stability and convergence are crucial to ensure accurate numerical solutions for simulations even over long time intervals.