The least-squares finite element method in elasticity. Part II: Bending of thin plates

被引：7

作者：

Jiang, B ^{[1
]}

机构：

[1] Oakland Univ, Dept Math, Rochester, MI 48309 USA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2002年 / 54卷 / 10期

关键词：

plate; bending; least squares; finite element;

D O I：

10.1002/nme.474

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A least-squares finite element method (LSFEM) for bending problems of thin plates is developed. This LSFEM is based on the first-order deflection-slope-moment-shear force formulation. Four compatibility conditions are added into the first-order system; thus, the method can accommodate all kinds of equal-order interpolations. Numerical experiments on various examples show that the method achieves an optimal rate of convergence for all eight variables. Copyright (C) 2002 John Wiley Sons, Ltd.

引用

页码：1459 / 1475

页数：21

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