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C. R. Acad. Sci. Paris, Ser. I 340 (2005) 769774 http://france.elsevier.com/direct/CRASS1/

Summary: C. R. Acad. Sci. Paris, Ser. I 340 (2005) 769­774
Numerical Analysis
An improved On-Surface Radiation Condition for acoustic
scattering problems in the high-frequency spectrum
Xavier Antoine a,b
, Marion Darbas c
, Ya Yan Lu d
a Laboratoire de mathématiques pour l'industrie et la physique, CNRS UMR 5640, UFR MIG,
118, route de Narbonne, 31062 Toulouse cedex 4, France
b Applied and Computational Mathematics, California Institute of Technology, 1220 E. California Boulevard,
217-50, Pasadena, CA 91125, USA
c Département de génie mathématique, INSA, MIP UMR-5640, complexe scientifique de Rangueil, 31077 Toulouse cedex 4, France
d Department of Mathematics, City University of Hong-Kong, Tat Chee Avenue, Kowloon, Hong-Kong
Received 4 April 2005; accepted 8 April 2005
Presented by Philippe G. Ciarlet
This Note addresses the derivation of an improved On-Surface Radiation Condition for the numerical solution of the exterior
Helmholtz equation at high-frequencies. This condition is built as an approximation of the Neumann-to-Dirichlet map by using
a local regularization of its principal classical symbol in the gliding zone for modelling the creeping waves. The numerical


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


Collections: Mathematics