Local and parallel finite element algorithms for the Stokes problem

被引：153

作者：

He, Yinnian ^{[2
]}

Xu, Jinchao ^{[1
,3
]}

Zhou, Aihui ^{[4
]}

Li, Jian ^{[2
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Xian Jiaotong Univ, Fac Sci, Xian 710049, Peoples R China

[3] Peking Univ, Sch Math Sci, Lab Pure & Appl Math, Beijing 100871, Peoples R China

[4] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China

来源：

NUMERISCHE MATHEMATIK | 2008年 / 109卷 / 03期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1007/s00211-008-0141-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

Based on two-grid discretizations, some local and parallel finite element algorithms for the Stokes problem are proposed and analyzed in this paper. These algorithms are motivated by the observation that for a solution to the Stokes problem, low frequency components can be approximated well by a relatively coarse grid and high frequency components can be computed on a fine grid by some local and parallel procedure. One technical tool for the analysis is some local a priori estimates that are also obtained in this paper for the finite element solutions on general shape-regular grids.

引用

页码：415 / 434

页数：20

共 28 条

[1]

Adams A, 2003, SOBOLEV SPACES

[2]

[Anonymous], RAIRO R

[3]

[Anonymous], 1991, FINITE ELEMENT METHO

[4]

Arnold D., 1984, CALCOLO, V21, P337, DOI 10.1007/bf02576171

[5]

ARNOLD DN, 1995, RAIRO M2AN, V29, P367

[6]

Bank R. E., 2003, SIAM Review, V45, P291, DOI 10.1137/S003614450342061

[7]

A new paradigm for parallel adaptive meshing algorithms [J].

Bank, RE ;

Holst, M .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2000, 22 (04) :1411-1443

[8]

FORTIN M, 1972, THESIS U PARIS

[9]

Girault V., 1986, FINITE ELEMENT APPRO

[10]

HOOD P., 1973, COMPUT FLUIDS, V1, P73

← 1 2 3 →