辽宁工程技术大学学报（自然科学版）2012，Vol.31Issue(1)：127-130,4.
角形域上Hermite三次样条多小波自然边界元法
Natural boundary element method with cubic Hermite spline multi-wavelet in angle domain
摘要
Abstract
The Neumann boundary value problem of the Laplace equation in angle domain can be solved using natural boundary element method. In order to solve its singular integral, this study introduces the conformal mapping and proposes a natural boundary element method with cubic Hermite spline multi-wavelet. The cubic Hermite spline multi-wavelet has a shorter tight collection, better stability and good explicit expression. Thus it is coupled with the natural boundary element method. Accordingly, Galerkin-wavelet method is used to discretize the natural boundary integral equation and to make the strong singular integral of the natural boundary equations become a weak singular integral. Therefore, the problem is simplified. A numerical example shows that the method is feasible.关键词
保角变换/角形区域/自然边界归化/Hermite三次样条多小波/Galerkin-wavelet方法/Neumann边值/奇异积分/自然边界方程Key words
conformal mapping/ angle domain/ boundary naturalization/ cubic Hermite spline multi-wavelet/Galerkin-wavelet method/ Neumann boundary value/ singular integral/ natural boundary equations分类
数理科学引用本文复制引用
陈一鸣,李裕莲,周志全,耿万海..角形域上Hermite三次样条多小波自然边界元法[J].辽宁工程技术大学学报（自然科学版）,2012,31(1):127-130,4.基金项目
河北省自然科学基金资助项目(E2009000365) （E2009000365）
河北省高等学校科学技术研究重点基金资助项目(ZD2010116) （ZD2010116）
