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


Published in:
Comput. Methods Appl. Mech. Eng., 193, 15-16, 1437-1453
Year:
2004
ISSN:
0045-7825
Keywords:
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 Record created 2007-04-24, last modified 2018-03-17


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