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Reference: P. Houston, Bill Senior and Endre Suli, (2002). Sobolev Regularity Estimation for hp-Adaptive Finite Element Methods. Unspecified.Citable link to this page:

 

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.

Bibliographic Details

Issue Date: 2002-01Identifiers

Urn: uuid:988be56f-aa30-43e4-a66f-0b4254177619 Item Description

Type: Technical Report;

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Author: P. Houston - - - Bill Senior - - - Endre Suli - - - - Bibliographic Details Issue Date: 2002-01 - Identifiers Urn: uuid:988be56f-

Source: https://ora.ox.ac.uk/objects/uuid:988be56f-aa30-43e4-a66f-0b4254177619



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