MULTIGRID METHODS FOR NONCONFORMING FINITE-ELEMENT METHODS

被引：70

作者：

BRAESS, D ^{[1
]}

VERFURTH, R ^{[1
]}

机构：

[1] UNIV ZURICH,INST ANGEW MATH,CH-8001 ZURICH,SWITZERLAND

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1990年 / 27卷 / 04期

关键词：

D O I：

10.1137/0727056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper analyzes a multigrid algorithm for the Crouzeix-Raviart discretization of the Poisson and Stokes equations in two and three dimensions. The central point is the construction of easily computable L2-projections based on suitable quadrature rules for the transfer from coarse to fine grids and vice versa.

引用

页码：979 / 986

页数：8

共 8 条

[1]

BANK RE, 1981, MATH COMPUT, V36, P35, DOI 10.1090/S0025-5718-1981-0595040-2

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BRAESS, D ;

HACKBUSCH, W .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1983, 20 (05) :967-975

[3]

BREZZI F, 1974, REV FR AUTOMAT INFOR, V8, P129

[4]

Ciarlet P. G., 2002, FINITE ELEMENT METHO

[5]

CROUZEIX M, 1973, REV FR AUTOMAT INFOR, V7, P33

[6] A CONJUGATE-GRADIENT METHOD AND A MULTIGRID ALGORITHM FOR MORLEY FINITE-ELEMENT APPROXIMATION OF THE BIHARMONIC EQUATION [J].

PEISKER, P ;

BRAESS, D .

NUMERISCHE MATHEMATIK, 1987, 50 (05) :567-586

[7] MULTILEVEL ALGORITHMS FOR MIXED PROBLEMS .2. TREATMENT OF THE MINI-ELEMENT [J].

VERFURTH, R .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1988, 25 (02) :285-293

[8] A MULTILEVEL ALGORITHM FOR MIXED PROBLEMS [J].

VERFURTH, R .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1984, 21 (02) :264-271

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