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Sobolev Regularity Estimation for hp-Adaptive Finite Element Methods

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.

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Publication date:
2002-01-05
URN:
uuid:988be56f-aa30-43e4-a66f-0b4254177619
Local pid:
oai:eprints.maths.ox.ac.uk:1226

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