Burman, Erik and Hansbo, Peter (2004) Edge stabilisation for Galerkin approximations of convection-diffusion-reaction problems. Computer Methods in Applied Mechanics and Engineering, 193. pp. 1437-1453. ISSN 0045-7825

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Abstract

n this paper we recall a stabilization technique for finite element methods for convection-diffusion-reaction equations, originally proposed by J. Douglas, Jr. and T. Dupont [in Computing methods in applied sciences (Second Internat. Sympos., Versailles, 1975), 207--216, Lecture Notes in Phys., 58, Springer, Berlin, 1976; MR0440955 (55 \\#13823)]. The method uses least square stabilization of the gradient jumps 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.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Depositing User:	Erik Burman
Date Deposited:	06 Feb 2012 21:29
Last Modified:	11 Apr 2012 10:56
URI:	http://sro.sussex.ac.uk/id/eprint/31453

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