Stokes问题的Galerkin-Hermite小波方法  

Galerkin-Hermite Wavelet Method for the Stokes Problem

作　　者：陈一鸣[1] 汪晓娟[1] 杨莹[2] 陈娟[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004 [2]中国矿业大学理学院,江苏徐州221116

出　　处：《郑州大学学报（理学版）》2012年第1期1-5,共5页Journal of Zhengzhou University:Natural Science Edition

基　　金：河北省自然科学基金资助项目;编号E2009000365

摘　　要：将圆内区域Stokes方程组的第二边值问题归化为Hadamard型强奇异自然积分方程组,然后运用Galerkin-Hermite小波方法将其变分问题的积分核离散化,获得了简单的刚度矩阵计算公式.对一个2J+3×2J+3阶的刚度矩阵,只需计算2J+3J+7个元素,而且刚度矩阵是块对角矩阵,每个块矩阵又是循环对称的,计算量大为减少,计算速度和精度也显著提高.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 2J＋3×2J＋3 stiffness matrix needed 2J＋3J＋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 

分 类 号：O714.2[理学—晶体学] O241.8