Stokes问题的一种新的谱逼近  

A NEW SPECTRAL-GALERKIN APPROXIMATION FOR THE STOKES PROBLEM

作　　者：叶兴德[1] 

机构地区：[1]杭州大学

出　　处：《高等学校计算数学学报》1993年第4期338-344,共7页Numerical Mathematics A Journal of Chinese Universities

基　　金：浙江省自然科学基金

摘　　要：1 引言 我们考虑二维定常不可压缩Stokes方程的谱逼近问题。正如文[1]所指出的那样,其关键在于适当的离散空间的选取:速度空间X_N与压力空间M_N,这两个空间之间的相容性条件决定了离散问题解的存在性。In this paper, we propose a new spectral-Galerkin approximation for the Stokes problem in two dimensional domain. According to this method, the discrete pressure space does not contain any spurious model and has a simple form. It is found that our method is well adapted to the Uzawa algorithm. But now the condition about divergence-free isn't satisfied. However, we prove that our method is still convergent. Furthermore, the error estimates we obtained are better than that of [6].

关 键 词：斯托克斯问题 谱逼近 不可压缩流体 

分 类 号：O357.1[理学—流体力学]