A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates

被引：55

作者：

Brenner, Susanne C. ^{[1
]}

Sung, Li-yeng

Zhang, Hongchao

Zhang, Yi

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2013年 / 254卷

基金：

美国国家科学基金会;

关键词：

Displacement obstacle; Clamped Kirchhoff plate; Fourth order variational inequality; Morley element; VARIATIONAL-INEQUALITIES; APPROXIMATION; CONVERGENCE; REGULARITY;

D O I：

10.1016/j.cam.2013.02.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates on polygonal domains. Error estimates are derived in the energy norm and the L-infinity norm. The performance of the method is illustrated by numerical experiments. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：31 / 42

页数：12

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