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

被引：5

作者：

BRENNER, SC ^{[1
]}

机构：

[1] CLARKSON UNIV,DEPT MATH & COMP SCI,POTSDAM,NY 13699

来源：

MATHEMATICS OF COMPUTATION | 1994年 / 63卷 / 208期

关键词：

LINEAR ELASTICITY; MIXED FINITE ELEMENT; MULTIGRID; NONCONFORMING; TRACTION PROBLEM;

D O I：

10.2307/2153278

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A robust optimal-order multigrid method for the pure traction problem in two-dimensional linear elasticity is studied. The finite element discretization is a variant of a mixed method proposed by Falk where the displacement is approximated by nonconforming piecewise linear functions and the ''pressure'' is approximated by piecewise constant functions on a coarser grid. Full multigrid convergence is obtained. The performance of this multigrid algorithm does not deteriorate as the material becomes nearly incompressible.

引用

页码：435 / 460

页数：26

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