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平面位势问题中一种非奇异边界积分法
引用本文:张耀明. 平面位势问题中一种非奇异边界积分法[J]. 纯粹数学与应用数学, 2001, 17(2): 161-164
作者姓名:张耀明
作者单位:山东工程学院数理系,
摘    要:确立平面位势的边界元直接法中边界积分的解析计算框架系统 ,从而避免了传统的高斯近似求积分 .数值算例表明它具有较高的精度和效率 .特别是在边界量和边界附近区域内点物理量的计算可获得较高的精度 .

关 键 词:边界元  位势问题  解析法
文章编号:1008-5513(2001)02-0161-04
修稿时间:1999-09-02

An kind of non-singular boundary integralmethod for plane potential problems
ZHANG Yao-ming. An kind of non-singular boundary integralmethod for plane potential problems[J]. Pure and Applied Mathematics, 2001, 17(2): 161-164
Authors:ZHANG Yao-ming
Abstract:An analytical scheme, which avoids using the standard Gaussian approximate quadrature to treat the boundary integrals in direct boundary element method of two-dimensional potential problems, is established. With some numerical results, it is shown that the better precision and high computational efficiency, especially in the band of the domain near boundary, can been derived from present scheme.
Keywords:boundary element  potential problems  analytical method
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