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Absorbing boundary conditions for acoustic and elastic wave equations

Bulletin of the Seismological Society of America · 1977 · Vol. 67(6) · pp. 1529–1540
Robert W. ClaytonBjörn Engquist

Abstract

abstract Boundary conditions are derived for numerical wave simulation that minimize artificial reflections from the edges of the domain of computation. In this way acoustic and elastic wave propagation in a limited area can be efficiently used to describe physical behavior in an unbounded domain. The boundary conditions are based on paraxial approximations of the scalar and elastic wave equations. They are computationally inexpensive and simple to apply, and they reduce reflections over a wide range of incident angles.

Electromagnetic Simulation and Numerical MethodsElectromagnetic Scattering and AnalysisGeophysical Methods and ApplicationsComputationScalar (mathematics)Paraxial approximationBoundary value problemWave equationScalar fieldBoundary (topology)Domain (mathematical analysis)Mathematical analysisRange (aeronautics)
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References
Synthetic seismograms; a finite-difference approach
Geophysics · 1976 · 906 citations
Absorbing boundary conditions for the numerical simulation of waves
Mathematics of Computation · 1977 · 2,369 citations
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