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

Dimitri Komatitsch, Jeroen Tromp

Research output: Contribution to journalArticle

267 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)146-153
Number of pages8
JournalGeophysical Journal International
Volume154
Issue number1
DOIs
StatePublished - Jul 2003

All Science Journal Classification (ASJC) codes

  • Geophysics
  • Geochemistry and Petrology

Keywords

  • Absorbing conditions
  • Elastic waves
  • Perfectly matched layer
  • Seismic modelling
  • Seismic wave propagation
  • Surface waves

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