A variational multiscale stabilized finite element method for the Stokes flow problem

被引：16

作者：

Liu, XH ^{[1
]}

Li, SF ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Civil & Environm Engn, Berkeley, CA 94720 USA

来源：

FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2006年 / 42卷 / 07期

基金：

美国国家科学基金会;

关键词：

variational multiscale method; stabilized method; Stokes method; Green's functions;

D O I：

10.1016/j.finel.2005.11.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new stabilized method is proposed for the 2-D Stokes flow problem. The new approach is based on the Variational Multiscale(VM) formulation. The Green's functions for an infinite domain are adopted to compute the two-scale interaction. The method is shown to be able to stabilized low order Finite Element intepolation pairs and has a formulation similar to the one of Gaterkin/Least-squares(GLS) formulation. The stabilization term obtained in this method has a physical interpretation. A couple of numerical examples show the method has a good convergence rate. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：580 / 591

页数：12

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