A NONCONFORMING MIXED MULTIGRID METHOD FOR THE PURE DISPLACEMENT PROBLEM IN PLANAR LINEAR ELASTICITY

被引：64

作者：

BRENNER, SC

机构：

[1] Clarkson Univ, Potsdam, NY

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1993年 / 30卷 / 01期

关键词：

MULTIGRID; LINEAR ELASTICITY; NONCONFORMING; MIXED FINITE ELEMENT;

D O I：

10.1137/0730006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An optimal order multigrid method is developed for the pure displacement problem in two-dimensional linear elasticity. It is based on a nonconforming mixed formulation, where the displacement is approximated by weakly continuous piecewise linear vector functions, and the pressure is approximated by piecewise constants. The full multigrid convergence is proved. The performance of the multigrid method does not deteriorate as the material becomes nearly incompressible.

引用

页码：116 / 135

页数：20

共 22 条

[1]

Arnold D.N., 1988, ANN SCUOLA NORM-SCI, V15, P169

[2]

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

[3] A MULTIGRID METHOD FOR A PARAMETER DEPENDENT PROBLEM IN SOLID MECHANICS [J].

BRAESS, D ;

BLOMER, C .

NUMERISCHE MATHEMATIK, 1990, 57 (08) :747-761

[4]

Bramble J. H., 1970, SIAM J NUMER ANAL, V7, P113

[5]

BRENNER SC, 1989, MATH COMPUT, V52, P1

[6]

BRENNER SC, 1992, MATH COMPUT, V59, P321, DOI 10.1090/S0025-5718-1992-1140646-2

[7]

BRENNER SC, 1990, MATH COMPUT, V55, P411, DOI 10.1090/S0025-5718-1990-1035927-5

[8]

BRENNER SC, 1989, 4TH P COPP MOUNT C M, P54

[9]

Ciarlet P. G., 2002, FINITE ELEMENT METHO

[10]

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

← 1 2 3 →