期刊论文

Sun, Guanying

英文

Computers & Mathematics with Applications

0898-1221

2016

71

7

1491-1502

10.1016/j.camwa.2016.02.031

This research was completed while the authors were visiting Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences under the support of NNSF of China grants ( 11401568 , 61379093 and 91430102 ). The second author was supported by the Starting Research Fund from North China University of Technology . And the authors would like to thank Prof. Bo Zhang, Dr. Jiaqing Yang and Dr. Haiwen Zhang for the valuable discussions. In particular, the authors appreciate the referees’ suggestions which are helpful for the improvement of this manuscript.

本校为第一机构

In this paper, we describe a Nyström integration method for the integral operator T which is the normal derivative of the double-layer potential arising in problems of two-dimensional acoustic scattering by infinite rough interfaces. The hypersingular kernel and unbounded integral interval of T are the key difficulties. By using a mollifier, we separately deal with these two difficulties and propose its Nyström integration method. Furthermore, we establish convergence of the method. Finally, we apply the method to the scattering problem by in...