The numerical solution of the exterior Dirichlet problem for Helmholtz's equation via modified Green's functions approach
Computers and Mathematics with Applications
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.
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