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research article

Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems

Burman, Erik  
•
Hansbo, Peter
2004
Computer Methods in Applied Mechanics and Engineering

In this paper we recall a stabilization technique for finite element methods for convection-diffusion-reaction equations, originally proposed by Douglas and Dupont. The method uses least square stabilization of the gradient jumps a across element boundaries. We prove that the method is stable in the hyperbolic limit and prove optimal a priori error estimates. We address the question of monotonicity of discrete solutions and present some numerical examples illustrating the theoretical results

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Type
research article
DOI
10.1016/j.cma.2003.12.032
Web of Science ID

WOS:000220930700007

Author(s)
Burman, Erik  
Hansbo, Peter
Date Issued

2004

Published in
Computer Methods in Applied Mechanics and Engineering
Volume

193

Issue

15-16

Start page

1437

End page

1453

Subjects

boundary layers

•

convection diffusion

•

finite element analysis

•

flow instability

•

flow simulation

•

Galerkin method

•

hyperbolic equations

•

least squares approximations

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CMCS  
Available on Infoscience
April 24, 2007
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/5385
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