The Discontinuous Galerkin Method for Singularly Perturbed Problems

Hans-Görg Roos () and Helena Zarin ()
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Hans-Görg Roos: Dresden University of Technology, Institute of Numerical Mathematics
Helena Zarin: University of Novi Sad, Department of Mathematics and Informatics

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 736-745 from Springer

Abstract: Summary A nonsymmetric discontinuous Galerkin method with interior penalties is considered for convection-diffusion problems with parabolic layers. On an anisotropic mesh with bilinear elements we prove error estimates (uniformly in the perturbation parameter) in an integral norm associated with this method. On different types of interelement edges we derive the values of discontinuity-penalization parameters. Numerical experiments support the theoretical results.

Keywords: Interior Penalty; Anisotropic Mesh; Hanging Node; Solution Decomposition; Shishkin Mesh (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_72

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DOI: 10.1007/978-3-642-18775-9_72

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