The numerical solution of the exterior Dirichlet problem for Helmholtz's equation via modified Green's functions approach
Document Type
Article
Publication Title
Computers and Mathematics with Applications
Publication Date
10-1-2002
Abstract
In the 1970s, a modified Green's function approach for solving the Helmholtz equation was proposed by Jones and Ursell, and in the 1980s was clarified by Kleinman, Roach, and Kress. But to date, there are no numerical results available for this approach. In this paper a global Galerkin method is used to numerically solve the exterior Dirichlet problem for the Helmholtz equation in three dimensions based on Jones' modified integral equation approach. Theoretical and computational details of the method are presented. © 2002 Elsevier Science Ltd. All rights reserved.
Volume
44
Issue
8-9
First Page
1229
Last Page
1248
DOI
10.1016/S0898-1221(02)00229-8
Recommended Citation
Lin, T., & Warnapala-Yehiya, Y. (2002). The numerical solution of the exterior Dirichlet problem for Helmholtz's equation via modified Green's functions approach. Computers and Mathematics with Applications, 44 (8-9), 1229-1248. https://doi.org/10.1016/S0898-1221(02)00229-8
ISSN
08981221
