A perfectly matched layer absorbing boundary condition for the second-order seismic wave equation

The perfectly matched layer absorbing boundary condition has proven to be very efficient for the elastic wave equation written as a first-order system in velocity and stress. We demonstrate how to use this condition for the same equation written as a second-order system in displacement. This facilit...

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Bibliographic Details
Published inGeophysical journal international Vol. 154; no. 1; pp. 146 - 153
Main Authors Komatitsch, Dimitri, Tromp, Jeroen
Format Journal Article
LanguageEnglish
Published Oxford, UK Blackwell Publishing Ltd 01.07.2003
Blackwell Science Ltd
Oxford University Press (OUP)
Subjects
absorbing conditions
Computer Science
Distributed, Parallel, and Cluster Computing
elastic waves
perfectly matched layer
seismic modelling
seismic wave propagation
surface waves
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Summary:The perfectly matched layer absorbing boundary condition has proven to be very efficient for the elastic wave equation written as a first-order system in velocity and stress. We demonstrate how to use this condition for the same equation written as a second-order system in displacement. This facilitates use in the context of numerical schemes based upon such a system, e.g. the finite-element method, the spectral-element method and some finite-difference methods. We illustrate the efficiency of this second-order perfectly matched layer based upon 2-D benchmarks with body and surface waves.
Bibliography:ark:/67375/HXZ-F8FBZ6X7-F
istex:CC86AC2B1BB9CD53E8E33126955BF1AE62D5EA53
ISSN:0956-540X
1365-246X
DOI:10.1046/j.1365-246X.2003.01950.x