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2017 Adaptive time domain boundary element methods with engineering applications
Heiko Gimperlein, Matthias Maischak, Ernst P. Stephan
J. Integral Equations Applications 29(1): 75-105 (2017). DOI: 10.1216/JIE-2017-29-1-75

Abstract

Time domain Galerkin boundary elements provide an efficient tool for 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 two and three dimensions, as are benchmark problems in a half-space related to the transient emission of traffic noise.

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Heiko Gimperlein. Matthias Maischak. Ernst P. Stephan. "Adaptive time domain boundary element methods with engineering applications." J. Integral Equations Applications 29 (1) 75 - 105, 2017. https://doi.org/10.1216/JIE-2017-29-1-75

Information

Published: 2017
First available in Project Euclid: 27 March 2017

zbMATH: 1361.65073
MathSciNet: MR3628108
Digital Object Identifier: 10.1216/JIE-2017-29-1-75

Subjects:
Primary: 65N38 , 65R20 , 74J05

Keywords: adaptive mesh refinements , error estimates , sound radiation , Time domain boundary element method

Rights: Copyright © 2017 Rocky Mountain Mathematics Consortium

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Vol.29 • No. 1 • 2017
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