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

DOI:
https://doi.org/10.1090/S0025-5718-1977-0436612-4

MathSciNet review:
0436612

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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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DOI:
https://doi.org/10.1090/S0025-5718-1977-0436612-4

Article copyright:
© Copyright 1977
American Mathematical Society