Local solutions to high-frequency 2D scattering problems

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Asheim, Andreas¹  Huybrechs, Daan² 

[1] NTNU Inst Math Sci, N-7491 Trondheim, Norway

[2] Katholieke Univ Leuven, Dept Comp Sci, B-3001 Heverlee, Belgium

关键词: Helmholtz problem;    Integral equations;    Oscillatory problems;    Boundary layers;    Filon-type method;   

DOI  :  10.1016/j.jcp.2010.03.034

来源: Elsevier

【 摘 要 】

We consider the solution of high-frequency scattering problems in two dimensions, modeled by an integral equation on the boundary of a smooth scattering object. We devise a numerical method to obtain solutions on only parts of the boundary with little computational effort. The method incorporates asymptotic properties of the solution and can therefore attain particularly good results for high frequencies. We show that the integral equation in this approach reduces to an ordinary differential equation. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free