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Title: Adaptive time domain boundary element methods and engineering applications
Authors: Gimperlein, H
Maischak, M
Stephan, E
Keywords: Time domain boundary element method;Error estimates;Adaptive mesh refinements;Sound radiation
Issue Date: 2016
Publisher: Rocky Mountain Mathematics Consortium
Citation: Journal of Integral Equations and Applications, (2016)
Abstract: Time domain Galerkin boundary elements provide an efficient tool for the numerical solution of boundary value problems for the homogeneous wave equation. We review recent advances in their a posteriori error analysis and the resulting adaptive mesh refinement procedures, as well as basic algorithmic aspects of these methods. Numerical results for adaptive mesh refinements are discussed in 2 and 3 dimensions, as are benchmark problems in a half space related to the transient emission of traffic noise.
ISSN: 0897-3962
Appears in Collections:Dept of Mathematics Research Papers

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