doi: 10.1685/journal.caim.365

Energetic BEM for domain decomposition in 2D wave propagation problems

Alessandra Aimi, Silvia Gazzola, Chiara Guardasoni


Here we present an advanced implementation of a direct space-time Galerkin boundary element method for the discretization of retarded potential boundary integral equa- tions related to Dirichlet-Neumann two-dimensional wave propagation problems defined on bi-domains. This technique, recently introduced for the case of a single-domain, is based on a natural energy identity satisfied by the solution of the corresponding differ- ential problem. Various numerical simulations are presented and, through comparisons with available literature results, accuracy and stability of the method applied to layered media are experimentally observed.

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Communications in Applied and Industrial Mathematics
ISSN: 2038-0909