平面定常Stokes方程的Galerkin边界元解法  

Galerkin Boundary Element Method for Plane Stationary Stokes Equation

作　　者：向瑞银[1,2] 祝家麟[1] 

机构地区：[1]重庆大学数理学院,重庆400030 [2]重庆三峡学院计算机科学系,重庆万州404000

出　　处：《重庆大学学报（自然科学版）》2006年第2期128-131,共4页Journal of Chongqing University

摘　　要：把平面定常Stokes方程的边值问题转化为边界积分方程后,通过与边界积分方程等价的变分形式,采用线性单元,利用Galerkin边界元方法求解.在计算单元刚度矩阵时,对二重积分的第一重使用精确积分,第二重使用数值积分,详细推导了第一重积分的解析公式.数值算例验证了Galerkin方法误差的理论结:E(u)=0(h2)The boundary problem of plane stationary Stokes equation is changed into the variation equation which is equivalent to the boundary integral equations. With linear boundary elements, it is solved by Galerkin boundary element method. In computation of stiffness matrix, the exactly integral formula is used in the first integral expression. The numerical integral formula is used in the second integral expression. The authors deduce the analytical formula of the first integral in detail. The numerical experiments also prove this method is reliable and quickly. The error of Galerkin boundary method is tested with numerical experimentation.

关 键 词：GALERKIN方法 STOKES方程 边界元 线性单元 解析积分 

分 类 号：O241.82[理学—计算数学]