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A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space (1406.7566v2)
Published 29 Jun 2014 in math.NA and math.AP
Abstract: We investigate a time-domain Galerkin boundary element method for the wave equation outside a Lipschitz obstacle in an absorbing half-space. A priori estimates are presented for both closed surfaces and screens, and we discuss the relevant properties of anisotropic Sobolev spaces and the boundary integral operators between them.