求解带尖角的阻尼边界条件声波散射问题  

A METHOD OF ACOUSTIC WAVE SCATTERING PROBLEM FOR IMPEDANCE BOUNDARY CONDITION WITH CORNERS

作　　者：荣翠莲[1] 王连堂[1] 

机构地区：[1]西北大学数学系,西安710127

出　　处：《数值计算与计算机应用》2014年第3期181-188,共8页Journal on Numerical Methods and Computer Applications

摘　　要：针对阻尼边界条件下非光滑区域的声波散射问题利用单层位势逼近散射波,由跳跃关系得到边界积分方程,对尖角区域采用Kress变换,然后用Nystrom法离散求解,最后对一个和多个尖角的区域给出数值算例,验证该方法的可行性和有效性.To solve the acoustic scattering problem of impedance boundary condition with un- smooth regions, single layer was used to represent its solution and obtained a boundary integral equation by using jump relationship. Kress transformation was used to process cor- ners, then it obtained the numerical solution by applying the NystrSm method. Finally, Numerical examples were given to show the feasible and effective of the method.

关 键 词：HELMHOLTZ方程 尖角区域 Kress变换 阻尼边界条件 

分 类 号：O241.83[理学—计算数学]