Bayliss-Turkel-lilte radiation conditions on surfaces of arbitrary shape

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:229

Article

Antoine, X ; Barucq, H

关键词: absorbing boundary conditions;    Helmholtz equation;    wave equation;    pseudo-differential operators;   

DOI  :  10.1006/jmaa.1998.6153

来源: Elsevier

【 摘 要 】

This paper addresses the extension of the Bayliss-Turkel second-order radiation condition to an arbitrarily shaped surface. The derivation is based mainly on the pseudo-differential calculus as well as on the introduction of a criterion providing a precise handling of the approximation process involved in the derivation of the radiation condition. The radiation condition then ranges among the most accurate of those of order two. As a by-product of the derivation, almost all known radiation conditions of order less than or equal to two are recovered and their respective accuracies are compared. (C) 1999 Academic Press.

【 授权许可】

Free