Boundary integral equation methods for the scattering problem by an unbounded sound soft rough surface with tapered wave incidence

作者：

Highlights：

• A rigorous derivation of BIE is presented for studying the scattering problem.

• Some properties of the integral equation in an energy space with weights are proved.

• The convergence of the numerical method is also obtained.

摘要

•A rigorous derivation of BIE is presented for studying the scattering problem.•Some properties of the integral equation in an energy space with weights are proved.•The convergence of the numerical method is also obtained.

论文关键词：Unbounded rough surface,Helmholtz equation,Integral equation method,Tapered wave incidence,Collocation method,Convergence analysis

论文评审过程：Received 21 October 2013, Revised 27 April 2014, Available online 16 September 2014.

论文官网地址：https://doi.org/10.1016/j.cam.2014.08.026