Continuous Interior Penalty hp-Finite Element Methods for Transport Operators

Erik Burman and Alexandre Ern
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Erik Burman: Ecole Polytechnique Fédérale de Lausanne, Institut d’Analyse et Calcul Scientifique (CMCS/IACS)
Alexandre Ern: CERMICS, Ecole nationale des ponts et chaussées

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 504-511 from Springer

Abstract: Abstract A continuous interior penalty hp-finite element method that penalizes the jump of the gradient of the discrete solution across mesh interfaces is introduced and analyzed. Error estimates are presented for first-order transport equations. The analysis relies on three technical results that are of independent interest: an hp-inverse trace inequality, a local discontinuous to continuous hp-interpolation result, and hp-error estimates for continuous L 2-orthogonal projections.

Keywords: Discrete Solution; Galerkin Approximation; Transport Operator; High Order Polynomial; Interior Penalty (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_46

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DOI: 10.1007/978-3-540-34288-5_46

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