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

• Published in: Comput. Methods Appl. Mech. Eng. (ISSN: 0045-7825), vol. 193, num. 15-16, p. 1437-1453
• Publication date: 2004

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

Keywords: boundary layers ; convection diffusion ; finite element analysis ; flow instability ; flow simulation ; Galerkin method ; hyperbolic equations ; least squares approximations

Reference

• CMCS-ARTICLE-2004-011
• doi:10.1016/j.cma.2003.12.032
• View record in Web of Science

Record created on 2007-04-24, modified on 2017-05-12