A coupled BEM and FEM for the interior transmission problem in acoustics

作者：Hsiao George C; Liu Fengshan; Sun Jiguang; Xu Liwei^*

来源：Journal of Computational and Applied Mathematics, 2011, 235(17): 5213-5221.

DOI：10.1016/j.cam.2011.05.011

• Finite element method
• Boundary element method
• Dirichlet-to-Neumann mapping
• Interior transmission problem
• Acoustic scattering

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.

• 出版日期2011-7-1