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Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
Ecole Polytechnique Fédérale de Lausanne.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2004 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 193, no 15-16, 1437-1453 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we recall a stabilization technique for finite element methods for convection-diffusion-reaction equations, originally proposed by Douglas and Dupont [Computing Methods in Applied Sciences, Springer-Verlag, Berlin, 1976]. 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.

Place, publisher, year, edition, pages
2004. Vol. 193, no 15-16, 1437-1453 p.
Keyword [en]
stabilized methods, finite element, interior penalty
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15835DOI: 10.1016/j.cma.2003.12.032ISI: 000220930700007OAI: oai:DiVA.org:hj-15835DiVA: diva2:440311
Note
Peter Hansbo eg. Chalmers University of TechnologyAvailable from: 2011-09-12 Created: 2011-08-16 Last updated: 2012-02-06Bibliographically approved

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