✦ LIBER ✦

Modified fundamental solutions for the scattering of elastic waves by a cavity: Numerical results

✍ Scribed by L. Bencheikh

Publisher: John Wiley and Sons
Year: 1993
Tongue: English
Weight: 936 KB
Volume: 36
Category: Article
ISSN: 0029-5981
DOI: 10.1002/nme.1620361906

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✦ Synopsis

Abstract

The boundary integral equation method is very often used to solve exterior problems of scattering of waves (elastic waves, acoustic waves, water waves and electromagnetic waves). It is known, however, that this method fails to provide a unique solution at the so‐called irregular frequencies. This difficulty is inherent to the method used rather than the nature of the problem. In the context of elastodynamics. we proposed, in a recent work^1^, two methods for eliminating these irregular frequencies. Both are based on modifying the fundamental solution. Here we present numerical results pertaining to the solutions of the modified and unmodified integral equations.

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