Stokes问题的拟小波方法  

Quasi-wavelet method for the Stokes problem

作　　者：汪晓娟[1] 陈一鸣[1] 周志全[1] 李裕莲[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《山东大学学报（理学版）》2012年第2期47-51,共5页Journal of Shandong University(Natural Science)

基　　金：河北省自然科学基金资助项目(E2009000365)

摘　　要：将上半平面区域内的Stokes方程组的第二边值问题归化为Hadamard型强奇异的自然积分方程组,通过Galerkin-Wavelets方法将其离散以求解其等价的变分问题,得到的刚度矩阵为对角占优阵,其计算系数简洁且大大降低了计算量、提高了精度。The second boundary value problem of Stokes equations in the upper half plane is reduced to natural integral equations with hypersingular kernels in the sense of the Hadamard finite part.Consequently,the Galerkin-Quasi-Wavelets method is applied to its equivalent variational problem on the boundary.Simple computational formulae of the entries in stiffness matrix are obtained,and they are diagonally dominant.This greatly reduces the amount of calculation and improves precision.

关 键 词：STOKES问题 拟小波 GALERKIN方法 刚度矩阵 

分 类 号：O714.2[理学—晶体学] O241.8