Local and parallel finite element algorithms based on two-grid discretization for the stream function form of Navier-Stokes equations

被引：33

作者：

Ma, Yi-chen ^{[1
]}

Zhang, Zhi-peng ^{[1
]}

Ren, Chen-feng ^{[1
]}

机构：

[1] Xian Jiaotong Univ, Coll Sci, Xian 710049, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 175卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes equations; two-grid (level) method; local parallel method; stream function;

D O I：

10.1016/j.amc.2005.07.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

A new local and parallel discretization finite element algorithms are proposed and analyzed in this paper for the stream function form of Navier-Stokes equations according to [1]. The theoretical tools for analyzing these methods are some local priori estimate that are also obtained in this paper for finite element solutions on general shape-regular grids. Some numerical experiments are also presented to support the theory. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：786 / 813

页数：28

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