On a two-level finite element method for the incompressible Navier-Stokes equations

被引：69

作者：

Franca, LP ^{[1
]}

Nesliturk, A ^{[1
]}

机构：

[1] Univ Colorado, Dept Math, Denver, CO 80217 USA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2001年 / 52卷 / 04期

关键词：

stabilized finite element methods; residual-free bubbles; incompressible flows;

D O I：

10.1002/nme.220

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider the Galerkin finite element method for the incompressible Navier-Stokes equations in two dimensions, where the finite-dimensional space(s) employed consist of piecewise polynomials enriched with residual-free bubble functions, To find the bubble part of the solution, a two-level finite element method (TLFEM) is described and its application to the Navier-Stokes equation is displayed. Numerical solutions employing the TLFEM are presented for three benchmark problems. We compare the numerical solutions using the TLFEM with the numerical solutions using a stabilized method. Copyright (C) 2001 John Wiley & Sons, Ltd.

引用

页码：433 / +

页数：28

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[1]

Arnold D., 1984, CALCOLO, V21, P337, DOI 10.1007/bf02576171

[2] FINITE-ELEMENT METHOD WITH LAGRANGIAN MULTIPLIERS [J].