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. © 2011 Elsevier B.V. All rights reserved.
Hsiao, G. C., Liu, F., Sun, J., & Xu, L. (2011). A coupled BEM and FEM for the interior transmission problem in acoustics. Journal of Computational and Applied Mathematics, 235(17), 5213–5221. https://doi.org/10.1016/j.cam.2011.05.011