二维Laplace方程Dirichlet问题直接边界积分方程的Galerkin边界元解法  

SOLVING THE DIRECT BOUNDARY INTEGRAL EQUATION FOR DIRICHLET PROBLEM OF 2-D LAPLACE EQATION BY GALERKIN BOUNDARY ELEMENT METHOD

作　　者：董海云[1] 祝家麟[1] 

机构地区：[1]重庆大学数理学院,重庆400044

出　　处：《高等学校计算数学学报》2005年第S1期159-164,共6页Numerical Mathematics A Journal of Chinese Universities

摘　　要：1 边界积分方程及其可解性设Ω是R2中具有光滑边界г的单连通区域,Ω′表示Ω-=Ω+г在R2中的补域．考虑如下Laplace方程的Dirichlet问题:In this paper the solvability of the direct boundary integral equation for interior and exterior Dirichlet problem of two-dimensional Laplace equation is considered. The Galerkin method with linear boundary elements is used to solve the variational equation of first kind Fredholm integral equation. For exterior problem. the constraint condition.for the direct boundary integral equation is coupled into variational equation by Lagrange multiplier. The numerical experiments show the feasibility and efficiency ...

关 键 词：Laplace equation direct boundary integral equation Fredholm integral equation of the first kind Galerkin boundary element method. 

分 类 号：O241.82[理学—计算数学]