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A Galerkin BEM for transient acoustic scattering by an absorbing obstacle
Author(s) -
HaDuong T.,
Ludwig B.,
Terrasse I.
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.745
Subject(s) - galerkin method , obstacle , boundary (topology) , boundary element method , stability (learning theory) , integral equation , mathematics , domain (mathematical analysis) , mathematical analysis , transient (computer programming) , boundary value problem , scattering , obstacle problem , finite element method , computer science , physics , optics , machine learning , political science , law , thermodynamics , operating system
This paper deals with the numerical resolution of the so‐called time‐domain boundary integral equations. The scattering problem by an absorbing obstacle serves as the model for this discussion. A new system of retarded potential boundary integral equations (RPBIE) is set up to solve the problem. Using an energy identity, we are able to prove the unconditional stability for standard conforming Galerkin approximation of the RPBIE. The actual space–time boundary elements are described in some detail, and their implementation has confirmed that stability in a wide range of situations and for large run times never reached before. Copyright © 2003 John Wiley & Sons, Ltd.