A family of Discontinuous Galerkin finite elements for the Reissner-Mindlin plate

被引：67

作者：

Arnold, DN ^{[1
]}

Brezzi, F

Marini, LD

机构：

[1] Univ Minnesota, Inst Math & Applicat, Minneapolis, MN 55455 USA

[2] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy

[3] CNR, IMATI, I-27100 Pavia, Italy

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2005年 / 22-3卷 / 01期

基金：

美国国家科学基金会;

关键词：

Discontinuous Galerkin; Reissner-Mindlin plates; locking-free finite elements;

D O I：

10.1007/s10915-004-4134-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop a family of locking-free elements for the Reissner-Mindlin plate using Discontinuous Galerkin (DG) techniques, one for each odd degree, and prove optimal error estimates. A second family uses conforming elements for the rotations and nonconforming elements for the transverse displacement, generalizing the element of Arnold and Falk to higher degree.

引用

页码：25 / 45

页数：21

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