Local absorbing boundary conditions for the elastic wave equation

E. Turkel, R. Gordon, D. Gordon

Research output: Contribution to journalArticlepeer-review


We compare and analyze absorbing boundary conditions for the elastic wave equations. We concentrate on the first order extensions to Clayton–Engquist and show the relationship of the Lysmer–Kuhlemeyer ABC to these generalizations. We derive conditions for the reflection coefficient to have the same accuracy for near normal waves as in the acoustic wave case. Extensions to the first order system, spherical coordinates, higher order boundary conditions and frequency domain are derived. We extend Stacey's absorbing boundary condition (ABC) to all six sides of a cubic domain, and show that Stacey's ABC provide good numerical results.

Original languageEnglish
Article number103109
JournalWave Motion
StatePublished - Apr 2023

Bibliographical note

Funding Information:
The authors are grateful to the reviewers for their helpful suggestions.

Publisher Copyright:
© 2022 Elsevier B.V.


  • Elastic wave equation
  • Local absorbing boundary conditions
  • Lysmer–Kuhlemeyer
  • Stacey's boundary conditions

ASJC Scopus subject areas

  • Modeling and Simulation
  • Physics and Astronomy (all)
  • Computational Mathematics
  • Applied Mathematics


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