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arxiv: 1406.7566 · v2 · pith:N4ZDVP3Onew · submitted 2014-06-29 · 🧮 math.NA · math.AP

A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space

classification 🧮 math.NA math.AP
keywords boundaryelementequationestimateshalf-spacemethodprioriwave
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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.

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