A 3D CONFORMING-NONCONFORMING MIXED FINITE ELEMENT FOR SOLVING SYMMETRIC STRESS STOKES EQUATIONS

被引：0
|
作者：
Zhang, Min [1 ]
Zhang, Shangyou [2 ]
机构：
[1] Sichuan Univ, Sch Math, Chengdu, Sichuan, Peoples R China
[2] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2017年 / 14卷 / 4-5期
关键词：
Mixed finite element; symmetric stress; Korn's inequality; Stokes equations; REISSNER-MINDLIN PLATE; INCOMPRESSIBLE ELASTICITY; QUADRILATERAL ELEMENTS; STATIONARY STOKES; INEQUALITIES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose a 3D conforming-nonconforming mixed finite element for solving symmetric stress Stokes equations. The low-order conforming finite elements are not inf-sup stable. The low-order nonconforming finite elements do not satisfy the Korn inequality. The proposed finite element space consists of two conforming components and one nonconforming component. We prove that the discrete inf-sup condition is valid and the discrete Korn inequality holds uniformly in the mesh-size. Based on these results we give some numerical verification. In addition, this element is compared numerically with six other mixed finite elements.
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页码：730 / 743
页数：14
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