Stokes问题的Galerkin-Shannon小波方法  

Galerkin Shannon Wavelet Methods for the Stokes Problem

作　　者：陈文胜[1] 

机构地区：[1]深圳大学理学院,深圳518060

出　　处：《深圳大学学报（理工版）》2001年第1期33-38,共6页Journal of Shenzhen University(Science and Engineering)

基　　金：广东省自然科学基金资助项目! (990 2 2 8) ;深圳大学科研基金资助项目! (990 9)

摘　　要：将上半平面区域内的Stokes方程组Neumann边值问题归化为Hadamard型强奇异自然积分方程组 ,然后用Galerkin Shannon小波方法求解其等价的变分问题 ,得到了十分简便的刚度矩阵计算公式 .对一个 2 2j+2 × 2 2j+2 阶的刚度矩阵 ,仅需计算其中 2 2j+ 1个元素 。In this paper, a Neumann boundary value problem of Stokes equations in the upperplane is reduced to natural integral equations with hypersingular kernels in the sense of Hadamard finite part. Consequently, Galerkin Shannon wavelet method is applied to its equivalent variational problem on the boundary. Simple computational formulae of the entries in stiffness matrix are obtained.These show that we only need to calculate 2 2j +1 elements of a 2 2j+2 ×2 2j+2  stiffness matrix.

关 键 词：STOKES问题 SHANNON小波 GALERKIN方法 刚度矩阵 

分 类 号：O241.8[理学—计算数学] O174.2[理学—数学]