The families of nonconforming mixed finite elements for linear elasticity on simplex grids

被引：2
|
作者：
Sun, Yan-Ping [1 ]
Chen, Shao-Chun [2 ]
Yang, Yong-Qin [2 ]
机构：
[1] Henan Inst Engn, Coll Sci, Zhenzhou 451101, Peoples R China
[2] Zhengzhou Univ, Sch Math & Stat, Zhenzhou 450001, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 358卷
关键词：
Linear elasticity equation; Mixed method; Nonconforming finite element; Tetrahedral mesh; Triangular mesh;
D O I：
10.1016/j.amc.2019.03.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a new family of nonconforming tetrahedral elements and a new family of nonconforming triangular elements for the stress-displacement system of linear elasticity problem. The local degrees of freedom of stress field only contain the normal moments on faces (sides) of element and the moments on element. The shape function spaces are simple, local, explicitly represented, and affine-equivalent. We also present two families simplified lowest-order finite elements by using the rigid motion model, and demonstrate our theory numerically in 2D area. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：348 / 362
页数：15
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