郑州大学学报（理学版）2012，Vol.44Issue(1)：1-5,5.DOI:10.3969/j.issn/1671-6841.2012.01.001
Stokes问题的Galerkin-Hermite小波方法
Galerkin-Hermite Wavelet Method for the Stokes Problem
摘要
Abstract
The second boundary value problem of Stokes equations in an interior unit disk was reduced to natural integral equations with hypersingular kernels in the sense of Hadamard finite part. Consequently, Galerkin-Hermite wavelet method was applied to its equivalent variational problem on the boundary. Simple computational formulae of the entries in stiffness matrix were obtained. It was showed that a 2 x 2J+3 stiffness matrix needed 21 +3/ +7 elements to compute only. It was a block diagonal matrix and its elements were some symmetric and block circulant submatrices. Thereby, computation was greatly reduced and the calculation speed and precision were improved greatly.关键词
Stokes问题/Galerkin-Hermite小波方法/刚度矩阵Key words
Stokes problem/ Galerkin-Hermite wavelet methods/ stiffness matrix分类
数理科学引用本文复制引用
陈一鸣,汪晓娟,杨莹,陈娟..Stokes问题的Galerkin-Hermite小波方法[J].郑州大学学报（理学版）,2012,44(1):1-5,5.基金项目
河北省自然科学基金资助项目,编号E2009000365. （）
