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2017 Comparison between numerical methods applied to the damped wave equation
A. Aimi, M. Diligenti, C. Guardasoni
J. Integral Equations Applications 29(1): 5-40 (2017). DOI: 10.1216/JIE-2017-29-1-5

Abstract

For the numerical solution of Dirichlet-Neumann problems related to 1D damped wave propagation, from a numerical point of view, we compare the so-called energetic approach, considered here separately for boundary and finite element methods with classical finite difference schemes, both explicit and implicit. The analysis reveals the superiority of energetic approximations with respect to unconditional stability and accuracy with respect to any choice of discretization parameters.

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A. Aimi. M. Diligenti. C. Guardasoni. "Comparison between numerical methods applied to the damped wave equation." J. Integral Equations Applications 29 (1) 5 - 40, 2017. https://doi.org/10.1216/JIE-2017-29-1-5

Information

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

zbMATH: 1361.65077
MathSciNet: MR3628106
Digital Object Identifier: 10.1216/JIE-2017-29-1-5

Subjects:
Primary: 65M06 , 65M30 , 65M38

Keywords: damped wave equation , energetic boundary element method , energetic finite element method , finite differences schemes

Rights: Copyright © 2017 Rocky Mountain Mathematics Consortium

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Vol.29 • No. 1 • 2017
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