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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Absorbing boundary conditions for the numerical simulation of waves


Authors: Bjorn Engquist and Andrew Majda
Journal: Math. Comp. 31 (1977), 629-651
MSC: Primary 65M05; Secondary 65N99
MathSciNet review: 0436612
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Abstract | References | Similar Articles | Additional Information

Abstract: In practical calculations, it is often essential to introduce artificial boundaries to limit the area of computation. Here we develop a systematic method for obtaining a hierarchy of local boundary conditions at these artificial boundaries. These boundary conditions not only guarantee stable difference approximations but also minimize the (unphysical) artificial reflections which occur at the boundaries.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1977-0436612-4
PII: S 0025-5718(1977)0436612-4
Article copyright: © Copyright 1977 American Mathematical Society