解轴对称Laplace方程的间接边界积分方程的机械求积法与分裂外推算法

作     者：李红娥 代振东 朱瑞 Li Honge;Dai Zhendong;Zhu Rui

作者机构：西华大学数学与计算机学院 四川大学经济学院 四川大学数学学院 

出 版 物：《高等学校计算数学学报》 (Numerical Mathematics A Journal of Chinese Universities)

年 卷 期：2011年第33卷第4期

页      面：319-328页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：西华大学重点学科-应用数学(XZD0910-09-1) 

主　　题：axisymmetric problem Laplace equation indirect boundary integral equation quadrature method splitting extrapolation 

摘      要：By ring potentials,the boundary double integral equation of axisymmetric Laplace equation can be transformed into the indirect boundary single integral *** means of the quadrature rules of computing the singular periodic function,mechanical quadrature methods for solving mixed BIEs are presented, which possess high accuracy O（h03） and low computing ***, using the mutil-parameters asymptotic expansion,we not only improve the accuracy order of the approximation by the splitting extrapolation,but also derive a posteriori error *** examples show that the accuracy order of the approximation high,the extrapolation and posteriori error estimation are effective.