A MIXED FINITE-ELEMENT METHOD FOR APPROXIMATING INCOMPRESSIBLE MATERIALS

被引：8

作者：

DOBROWOLSKI, M

机构：

[1] Universitat Erlangen-Nurnberg, Erlangen

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 02期

关键词：

FINITE ELEMENTS; INCOMPRESSIBLE ELASTICITY;

D O I：

10.1137/0729023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mixed finite element method is proposed for approximating the deformation u of a plane incompressible material satisfying the condition det NABLA-u = 1. For piecewise linear shape functions it is proved that the discrete solutions exist and converge with nearly quasi-optimal rates in L infinity. The corresponding nonlinear system is iteratively solved by a multigrid method.

引用

页码：365 / 389

页数：25

共 21 条

[11] WEIGHTED INS-SUP CONDITION AND POINTWISE ERROR-ESTIMATES FOR THE STOKES PROBLEM [J].