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Radiation boundary conditions for wave‐like equations
Author(s) -
Bayliss Alvin,
Turkel Eli
Publication year - 1980
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160330603
Subject(s) - mathematics , boundary (topology) , boundary value problem , mathematical analysis , domain (mathematical analysis) , robin boundary condition , computation , mixed boundary condition , cauchy boundary condition , infinity , wave equation , boundary conditions in cfd , singular boundary method , boundary element method , physics , finite element method , algorithm , thermodynamics
In the numerical computation of hyperbolic equations it is not practical to use infinite domains. Instead, one truncates the domain with an artificial boundary. In this study we construct a sequence of radiating boundary conditions for wave‐like equations. We prove that as the artificial boundary is moved to infinity the solution approaches the solution of the infinite domain as O( r −m−1/2 ) for the m ‐th boundary condition. Numerical experiments with problems in jet acoustics verify the practical nature and utility of the boundary conditions.