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

By P. Houston and Endre Suli

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

Topics: Numerical analysis
Publisher: Unspecified
Year: 1999
OAI identifier: oai:generic.eprints.org:1283/core69

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