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Weighted error estimates of the continuous interior penalty method for singularly perturbed problems

journal contribution
posted on 2023-06-08, 00:02 authored by Erik Burman, Johnny Guzmán, Dmitriy Leykekhman
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.

History

Publication status

  • Published

Journal

IMA Journal of Numerical Analysis

ISSN

0272-4979

Issue

2

Volume

29

Page range

284-314

Pages

31.0

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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