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Z .Journal of Mathematical Analysis and Applications 229, 184 211 1999 Article ID jmaa.1998.6153, available online at http:rrwww.idealibrary.com on
 

Summary: Z .Journal of Mathematical Analysis and Applications 229, 184 211 1999
Article ID jmaa.1998.6153, available online at http:rrwww.idealibrary.com on
Bayliss Turkel-like Radiation Conditions on Surfaces
of Arbitrary Shape
X. Antoine and H. Barucq
Laboratoire de Mathematiques Appliquees pour l'Industrie and CNRS UPRES-A 5033,´ ´
Uni¨ersite de Pau et des Pays de l'Adour, 64000 Pau, France´
E-mail: helene.barucq@univ-pau.fr
and
A. Bendali
Departement de Genie Mathematique, INSA, Laboratoire MIP UMR 5640,´ ´ ´
CNRS-UPS-INSA, Complexe Scientifique de Rangueil, 31077 Toulouse Cedex 4, France
Submitted by Firdaus E. Udwadia
Received July 1, 1997
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

  

Source: Antoine, Xavier - Institut de Mathématiques Élie Cartan, Université Henri Poincaré - Nancy 1

 

Collections: Mathematics