Mixed boundary integral methods for Helmmholtz transmission problems
Mixed boundary integral methods for Helmmholtz transmission problems
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DOI：
10.1016/j.cam.2007.02.028
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发表时间：
2008-04
期刊：
影响因子：
--
通讯作者：
F. González;M. Rapún
中科院分区：
文献类型：
--
作者：
F. González;M. Rapún
In this paper we propose a hybrid between direct and indirect boundary integral methods to solve a transmission problem for the Helmholtz equation in Lipschitz and smooth domains. We present an exhaustive abstract study of the numerical approximation of the resulting system of boundary integral equations by means of Galerkin methods. Some particular examples of convergent schemes in the smooth case in two dimensions are given. Finally, we extend the results to a thermal scattering problem in a half plane with several obstacles and provide numerical results that illustrate the accuracy of our methods depending on the regularity of the interface.
