Absorbing boundary conditions for the numerical simulation of waves

Bjorn Engquist; Andrew Majda

doi:10.1090/S0025-5718-1977-0436612-4

Absorbing boundary conditions for the numerical simulation of waves

Bjorn Engquist, Andrew Majda

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	629-651
Number of pages	23
Journal	Mathematics of Computation
Volume	31
Issue number	139
DOIs	https://doi.org/10.1090/S0025-5718-1977-0436612-4
State	Published - Jul 1977

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-1977-0436612-4

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title = "Absorbing boundary conditions for the numerical simulation of waves",

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.",

author = "Bjorn Engquist and Andrew Majda",

year = "1977",

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AB - 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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Absorbing boundary conditions for the numerical simulation of waves

Abstract

ASJC Scopus subject areas

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