| Stokes问题的拟小波方法 |
| |
| 引用本文： | 汪晓娟,陈一鸣,周志全,李裕莲.Stokes问题的拟小波方法[J].山东大学学报(理学版),2012,47(2):47-51. |
| |
| 作者姓名： | 汪晓娟 陈一鸣 周志全 李裕莲 |
| |
| 作者单位： | 燕山大学理学院,河北秦皇岛,066004 |
| |
| 基金项目： | 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。
|
| 关 键 词： | Stokes问题 拟小波 Galerkin方法 刚度矩阵 |
| 收稿时间： | 2011-04-19 |
Quasi-wavelet method for the Stokes problem |
| |
| WANG Xiao-juan,CHEN Yi-ming,ZHOU Zhi-quan,LI Yu-lian.Quasi-wavelet method for the Stokes problem[J].Journal of Shandong University,2012,47(2):47-51. |
| |
| Authors: | WANG Xiao-juan CHEN Yi-ming ZHOU Zhi-quan LI Yu-lian |
| |
| Institution: | (College of Science,Yanshan University,Qinhuangdao 066004,Hebei,China) |
| |
| 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. |
| |
| Keywords: | Stokes problem quasi-wavelet Galerkin method stiffness matrix |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《山东大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《山东大学学报(理学版)》下载免费的PDF全文 |
