Stokes问题的拟小波方法

J4 ›› 2012, Vol. 47 ›› Issue (2): 47-51.

Stokes问题的拟小波方法

汪晓娟,陈一鸣，周志全,李裕莲

燕山大学理学院, 河北秦皇岛 066004

收稿日期:2011-04-19 出版日期:2012-02-20 发布日期:2012-12-24
作者简介:汪晓娟(1985- )，女，硕士研究生，研究方向为小波边界元. Email: justin-0376@yahoo.com.con
基金资助:
河北省自然科学基金资助项目(E2009000365)

Quasi-wavelet method for the Stokes problem

WANG Xiao-juan, CHEN Yi-ming, ZHOU Zhi-quan, LI Yu-lian

College of Science, Yanshan University, Qinhuangdao 066004, Hebei, China

Received:2011-04-19 Online:2012-02-20 Published:2012-12-24

摘要/Abstract

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。

关键词: Stokes问题;拟小波;Galerkin方法;刚度矩阵

Abstract:

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.

Key words: Stokes problem; quasi-wavelet; Galerkin method; stiffness matrix

汪晓娟,陈一鸣，周志全,李裕莲. Stokes问题的拟小波方法[J]. J4, 2012, 47(2): 47-51.

WANG Xiao-juan, CHEN Yi-ming, ZHOU Zhi-quan, LI Yu-lian. Quasi-wavelet method for the Stokes problem[J]. J4, 2012, 47(2): 47-51.

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