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.
Keywords
MathematicsBoundary (topology)ComputationHierarchyBoundary value problemLimit (mathematics)Mathematical analysisApplied mathematicsAlgorithm
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Publication Info
- Year
- 1977
- Type
- article
- Volume
- 31
- Issue
- 139
- Pages
- 629-651
- Citations
- 2356
- Access
- Closed
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Cite This
Björn Engquist,
Andrew J. Majda
(1977).
Absorbing boundary conditions for the numerical simulation of waves.
Mathematics of Computation
, 31
(139)
, 629-651.
https://doi.org/10.1090/s0025-5718-1977-0436612-4
Identifiers
- DOI
- 10.1090/s0025-5718-1977-0436612-4