Stabilised hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form |
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Authors: | P Houston Endre Süli |
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Affiliation: | (1) Department of Mathematics & Computer Science University of Leicester Leicester LE1 7RH, UK e-mail: Paul.Houston@mcs.le.ac.uk, GB;(2) Oxford University Computing Laboratory Wolfson Building, Parks Road Oxford OX1 3QD, UK e-mail: Endre.Suli@comlab.ox.ac.uk, GB |
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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.
Received October 28, 1999; revised May 26, 2000 |
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Keywords: | AMS Subject Classifications: 65N12 65N15 65N30 |
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