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Energetic BEM-FEM coupling for wave propagation in layered media. (English) Zbl 1329.65287

Summary: 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 techniques, in order to efficiently treat bounded or unbounded multilayered media. Partial differential equations associated to boundary integral equations will be weakly reformulated by the energetic approach and a particular emphasis will be given to theoretical and experimental analysis of the stability of the proposed method. First numerical results on wave propagation model problems related to 1D elastodynamics will be presented and discussed.

MSC:

65N38 Boundary element methods for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74J05 Linear waves in solid mechanics
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