Dispersion Correction for Helmholtz in 1D with Piecewise Constant Wavenumber

Cocquet, Pierre-Henri; Gander, Martin J.; Xiang, Xueshuang

doi:10.1007/978-3-030-56750-7_41

Pierre-Henri Cocquet¹⁴,
Martin J. Gander¹⁵ &
Xueshuang Xiang¹⁶

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 138))

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International Conference on Domain Decomposition Methods

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Abstract

The Helmholtz equation is the simplest model for time harmonic wave propagation, and it contains already all the fundamental difficulties such problems pose when trying to compute their solution numerically.

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Authors and Affiliations

Université de la Réunion, Réunion, France
Pierre-Henri Cocquet
Université de Genève, Geneva, Switzerland
Martin J. Gander
Qian Xuesen Laboratory of Space Technology, Beijing, China
Xueshuang Xiang

Authors

Pierre-Henri Cocquet
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Martin J. Gander
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Xueshuang Xiang
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Corresponding author

Correspondence to Pierre-Henri Cocquet .

Editor information

Editors and Affiliations

Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, Canada
Ronald Haynes
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, Canada
Scott MacLachlan
Department of Computer Science, University of Colorado, Boulder, CO, USA
Xiao-Chuan Cai
Laboratoire Analyse, Geometrie, Université Paris XIII, Villetaneuse, France
Laurence Halpern
Department of Applied Mathematics, Kyung Hee University, Yongin, Korea (Republic of)
Hyea Hyun Kim
Mathematisches Institut, Universität zu Köln, Köln, Germany
Axel Klawonn
New York University, New York, NY, USA
Olof Widlund

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Cocquet, PH., Gander, M.J., Xiang, X. (2020). Dispersion Correction for Helmholtz in 1D with Piecewise Constant Wavenumber. In: Haynes, R., et al. Domain Decomposition Methods in Science and Engineering XXV. DD 2018. Lecture Notes in Computational Science and Engineering, vol 138. Springer, Cham. https://doi.org/10.1007/978-3-030-56750-7_41

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DOI: https://doi.org/10.1007/978-3-030-56750-7_41
Published: 25 October 2020
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-56749-1
Online ISBN: 978-3-030-56750-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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