The Mathematical Institute, University of Oxford, Eprints Archive

Stabilized hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form

Houston, P. and Suli, Endre (1999) Stabilized hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form. Technical Report. Unspecified. (Submitted)

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Abstract

This paper is devoted to the a priori error analysis of the hp-version of a streamline-diffusion finite element method for partial differential equations with nonnegative characteristic form. This class of equations includes second-order elliptic and parabolic problems, first-order hyperbolic problems and second-order problems of mixed elliptic-parabolic-hyperbolic type. We derive error bounds which are simultaneously optimal in both the mesh size h and the spectral order p. Numerical examples are presented to confirm the theoretical results.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1283
Deposited By:Lotti Ekert
Deposited On:01 Jun 2011 09:20
Last Modified:01 Jun 2011 09:20

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