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research article
Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
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
Type
research article
Web of Science ID
WOS:000220930700007
Authors
Publication date
2004
Volume
193
Issue
15-16
Start page
1437
End page
1453
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
April 24, 2007
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