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Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 1999

Bayliss-Turkel-like Radiation Condition on Surfaces of Arbitrary Shape

Résumé

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.

Dates et versions

hal-00347868 , version 1 (17-12-2008)

Identifiants

Citer

Xavier Antoine, Hélène Barucq, Abderrahmane Bendali. Bayliss-Turkel-like Radiation Condition on Surfaces of Arbitrary Shape. Journal of Mathematical Analysis and Applications, 1999, 229 (1), pp.184-211. ⟨10.1006/jmaa.1998.6153⟩. ⟨hal-00347868⟩
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