A finite element time relaxation method

被引：7

作者：

Becker, Roland ^{[1
,2
]}

Burman, Erik ^{[3
]}

Hansbo, Peter ^{[4
]}

机构：

[1] Univ Pau, LMAP, F-64013 Pau, France

[2] Univ Pau, INR1A Bordeaux Sad Quest, F-64013 Pau, France

[3] Univ Sussex, Dept Math, Brighton BN1 9QH, E Sussex, England

[4] Chalmers, Dept Math Sci, S-41262 Gothenburg, Sweden

来源：

COMPTES RENDUS MATHEMATIQUE | 2011年 / 349卷 / 5-6期

关键词：

NAVIER-STOKES EQUATIONS; GALERKIN APPROXIMATIONS; STABILIZATION;

D O I：

10.1016/j.crma.2010.12.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss a finite element time-relaxation method for high Reynolds number flows. The method uses local projections on polynomials defined on macroelements of each pair of two elements sharing a face. We prove that this method shares the optimal stability and convergence properties of the continuous interior penalty (CIP) method. We give the formulation both for the scalar convection-diffusion equation and the time-dependent incompressible Euler equations and the associated convergence results. This note finishes with some numerical illustrations. (C) 2010 Academic des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：353 / 356

页数：4

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