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Bulletin of the Seismological Society of America; December 1977; v. 67; no. 6; p. 1529-1540
© 1977 Seismological Society of America
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Absorbing boundary conditions for acoustic and elastic wave equations

ROBERT CLAYTON and BJÖRN ENGQUIST

DEPARTMENT OF GEOPHYSICS STANFORD UNIVERSITY, STANFORD, CALIFORNIA
DEPARTMENT OF COMPUTER SCIENCES UPPSALA UNIVERSITY, UPPSALA, Sweden

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.




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