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平面位势问题中一种非奇异边界积分法 被引量:3

An kind of non-singular boundary integral method for plane potential problems
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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 . 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.
作者 张耀明
出处 《纯粹数学与应用数学》 CSCD 2001年第2期161-164,共4页 Pure and Applied Mathematics
关键词 边界元 位势问题 解析法 boundary element potential problems analytical method
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参考文献3

  • 1[1]Hartman F. Introduction to boundary element[M].Theory and applications,Berlin:Springer,1989
  • 2[3]Guigglani M,Casalini P. Direct computation of Cauchy principal value integral in advanced boundary elements[J].Int.J.Numer.Methods.Eng,1987,24(11): 1711-1720
  • 3[4]Huang Q,Crues T A. Some notes on singular integral technique in boundary element analysis[J].Int.J.Num.Meth.Eng,1993,36(7):2643-2659

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