A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid

被引：2
|
作者：
Chen, Yuyan [1 ]
Zhang, Shuo [2 ]
机构：
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC,ICMSEC, Beijing 100190, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 323卷
基金：
美国国家科学基金会;
关键词：
Incompressible Stokes problem; Nearly incompressible linear elasticity problem; Stable finite element; Conservative; LEAST-SQUARES METHODS; CONFORMING B-SPLINES; MASS CONSERVATION; SCOTT-VOGELIUS; OSEEN PROBLEM; FREE GALERKIN; FLUID-FLOW; EQUATIONS; LOCKING; APPROXIMATIONS;
D O I：
10.1016/j.cam.2017.04.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss finite element methods for the incompressible Stokes problem and the nearly incompressible linear elasticity problem. Specifically, we present a finite element pair for the incompressible Stokes problem, which satisfies the discrete inf-sup condition and the discrete Korn's inequality, and moreover, which is element-wise conservative. The pair provides a locking-free method for the nearly incompressible linear elasticity problem without reduced integration. (C) 2017 Elsevier B.V. All rights reserved.
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页码：53 / 70
页数：18
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