用单层位势求解尖角区域上的Dirichlet外问题  

Solving the exterior of Dirichlet problem in domains with corners with a single-layer potential

作　　者：牛磊[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》2011年第2期256-260,共5页Pure and Applied Mathematics

基　　金：国家自然科学基金(10671155)

摘　　要：采用Kress变换以及处理第一类奇异核的积分方法,运用Nystrom方法利用单层位势求解尖角区域上的Dirichlet外问题.给出具体的算法和数值例子,通过数值例子可以看出用单层位势求解尖角区域上的Dirichlet外问题与用单双层结合求解所得的结果基本上一致,说明这种方法是有效的和可行的.Kress transformation,the integral method processing the first class singular kernel and single-layer potential mainly adopted to solve the exterior Dirichlet problem in sharp corner area.Examples of specific algorithms and numerical are given in this article,through which it can be seen that using the single layer potential to solve the exterior Dirichlet problem in sharp corner area has the same results as with combination of single and double layer,indicating that this method is effective and feasible.

关 键 词：Kress变换 单层位势 尖角区域 

分 类 号：O241.8[理学—计算数学]