| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4639967 | Journal of Computational and Applied Mathematics | 2011 | 9 Pages |
Abstract
The interior transmission problem (ITP) is a boundary value problem arising in inverse scattering theory, and it has important applications in qualitative methods. In this paper, we propose a coupled boundary element method (BEM) and a finite element method (FEM) for the ITP in two dimensions. The coupling procedure is realized by applying the direct boundary integral equation method to define the so-called Dirichlet-to-Neumann (DtN) mappings. We show the existence of the solution to the ITP for the anisotropic medium. Numerical results are provided to illustrate the accuracy of the coupling method.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
George C. Hsiao, Fengshan Liu, Jiguang Sun, Liwei Xu,