Stability of wide-angle absorbing boundary conditions for the wave equation

Rosemary Renaut, J. Petersen

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Numerical solution of the two-dimensional wave equation requires mapping from a physical domain without boundaries to a computational domain with artificial boundaries. For realistic solutions, the artificial boundaries should cause waves to pass directly through and thus mimic total absorption of energy. An artificial boundary which propagates waves in one direction only is derived from approximations to the one-way wave equation and is commonly called an absorbing boundary. Here we investigate order 2 absorbing boundary conditions which include the standard paraxial approximation. -from Authors

Original languageEnglish (US)
Pages (from-to)1153-1163
Number of pages11
JournalGeophysics
Volume54
Issue number9
StatePublished - 1989

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absorbing boundary
wave equation
Wave equations
boundary condition
Boundary conditions
Energy absorption
energy
Direction compound

ASJC Scopus subject areas

  • Geochemistry and Petrology

Cite this

Stability of wide-angle absorbing boundary conditions for the wave equation. / Renaut, Rosemary; Petersen, J.

In: Geophysics, Vol. 54, No. 9, 1989, p. 1153-1163.

Research output: Contribution to journalArticle

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