求解修正的Helmholtz方程关于非光滑区域问题  

Solving a modified of Helmholtz equation about the nonsmooth regional issues

作　　者：杨正辉[1] 王连堂[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纯粹数学与应用数学》2012年第3期378-383,共6页Pure and Applied Mathematics

基　　金：陕西省自然科学基金(FC10112)

摘　　要：研究了修正的(纯虚波数)Helmholtz方程在阻尼边界条件下,求解含单个角点的闭区域问题.通过采用单双层混合位势来表示其解,进而对其角型区域进行求解.最后,通过数值例子来说明此方法的可行性与可靠性.We studied the modified pure imaginary wave number of Helmholtz equation in impedence boundary condition, which contains a single corner to solve the closed regional problems. Single layer and double layer potentials were used to represent its solution and solve its domains. Finally, the numerical example illustrated the feasibility and reliability of this method.

关 键 词：修正的Helmholtz方程 阻尼边界条件 角形域 位势论 

分 类 号：O241.8[理学—计算数学]