Mathematical Methods in the Applied Sciences · 2014 · 29 citations · 11 references
ComputingComputational EngineeringAcousticsComputational AcousticsComputational Fluid DynamicsAcoustic Inverse ProblemsAcoustic Wave PropagationBoundary ConditionsBoundary Element MethodsConvergence AnalysisError EstimationA Priori Error AnalysisA Priori Error EstimatesA Priori Error EstimationA Priori EstimatesBoundary Element AnalysisBoundary Integral EquationsBoundary OperatorsSobolev Spaces
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. Copyright © 2014 John Wiley & Sons, Ltd.
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