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.

引用

页码：53 / 70

页数：18

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