Ideal Curved Elements and the Discontinuous Galerkin Method

Veronika Sobotíková ()
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Veronika Sobotíková: Czech Technical University Prague, Faculty of Electrical Engineering

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 829-837 from Springer

Abstract: Abstract In this paper we prove a new result concerning Zlámal’s ideal curved elements which allows us to employ these elements in a discontinuous Galerkin finite element method for a nonlinear convection-diffusion problem on a nonpolygonal domain, and to derive an H 1-optimal error estimate for this method.

Keywords: Diffusion Problem; High Order Derivative; Discontinuous Galerkin Method; Galerkin Finite Element Method; Hanging Node (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_89

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DOI: 10.1007/978-3-642-11795-4_89

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