The Mathematical Institute, University of Oxford, Eprints Archive

Sobolev Regularity Estimation for hp-Adaptive Finite Element Methods

Houston, P. and Senior, Bill and Suli, Endre (2002) Sobolev Regularity Estimation for hp-Adaptive Finite Element Methods. Technical Report. Unspecified. (Submitted)

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Abstract

In this paper we develop an algorithm for estimating the local Sobolev regularity index of a given function by monitoring the decay rate of its Legendre expansion coefficients. On the basis of these local regularities, we design and implement an hp-adaptive finite element method based on employing discontinuous piecewise polynomials, for the approximation of nonlinear systems of hyperbolic conservation laws. The performance of the proposed adaptive strategy is demonstrated numerically.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1226
Deposited By:Lotti Ekert
Deposited On:19 May 2011 07:37
Last Modified:19 May 2011 07:37

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