Absorbing boundary conditions for the numerical simulation of waves

Bjorn Engquist, Andrew Majda

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)629-651
Number of pages23
JournalMathematics of Computation
Volume31
Issue number139
DOIs
StatePublished - 1977

Fingerprint

Artificial Boundary
Absorbing Boundary Conditions
Boundary conditions
Difference Approximation
Numerical Simulation
Computer simulation
Minimise
Hierarchy

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

Cite this

Absorbing boundary conditions for the numerical simulation of waves. / Engquist, Bjorn; Majda, Andrew.

In: Mathematics of Computation, Vol. 31, No. 139, 1977, p. 629-651.

Research output: Contribution to journalArticle

@article{d4443ca6ddba410f8a155c4dd67936d0,
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",
doi = "10.1090/S0025-5718-1977-0436612-4",
language = "English (US)",
volume = "31",
pages = "629--651",
journal = "Mathematics of Computation",
issn = "0025-5718",
publisher = "American Mathematical Society",
number = "139",

}

TY - JOUR

T1 - Absorbing boundary conditions for the numerical simulation of waves

AU - Engquist, Bjorn

AU - Majda, Andrew

PY - 1977

Y1 - 1977

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84966208271&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966208271&partnerID=8YFLogxK

U2 - 10.1090/S0025-5718-1977-0436612-4

DO - 10.1090/S0025-5718-1977-0436612-4

M3 - Article

VL - 31

SP - 629

EP - 651

JO - Mathematics of Computation

JF - Mathematics of Computation

SN - 0025-5718

IS - 139

ER -