Burman, Erik, Guzmán, Johnny and Leykekhman, Dmitriy (2009) Weighted error estimates of the continuous interior penalty method for singularly perturbed problems. IMA Journal of Numerical Analysis, 29 (2). pp. 284-314. ISSN 0272-4979

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Abstract

In this paper, we analyse local properties of the continuous interior penalty (CIP) method for a model convection-dominated singularly perturbed convectiondiffusion problem. We show weighted a priori error estimates, where the weight function exponentially decays outside the subdomain of interest. This result shows thats locally, the CIP method is comparable to the streamline-diffusion or the discontinuous Galerkin methods.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Depositing User:	Erik Burman
Date Deposited:	06 Feb 2012 19:47
Last Modified:	04 Apr 2012 10:45
URI:	http://sro.sussex.ac.uk/id/eprint/22205

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