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

共 31 条

[1]

[Anonymous], 2007, Lecture Notes of the Unione Matematica Italiana

[2]

[Anonymous], 2003, SOBOLEV SPACES

[3]

[Anonymous], 1971, Abh. Math. Sem. Univ. Hamburg

[4]

[Anonymous], 2001, Spectral problems associated with corner singularities of solutions to elliptic equations

[5]

[Anonymous], 2008, MATH THEORY FINITE E, V105, pA341

[6]

[Anonymous], 1988, VARIATIONAL PRINCIPL

[7]

Aubin J.P., 1966, Functional Analysis and Optimization, P7

[8]

Blum H., 1980, Math. Methods Appl. Sci, V2, P556, DOI 10.1002/mma.1670020416

[9] Convergence of nonconforming multigrid methods without full elliptic regularity [J].

Brenner, SC .

MATHEMATICS OF COMPUTATION, 1999, 68 (225) :25-53

[10] A QUADRATIC C0 INTERIOR PENALTY METHOD FOR THE DISPLACEMENT OBSTACLE PROBLEM OF CLAMPED KIRCHHOFF PLATES [J].

Brenner, Susanne C. ;

Sung, Li-Yeng ;

Zhang, Hongchao ;

Zhang, Yi .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2012, 50 (06) :3329-3350

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