A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version) - Couverture souple

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9781493745166: A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version)
Couverture souple
ISBN 10 : 1493745166 ISBN 13 : 9781493745166
Editeur : CreateSpace Independent Publishing Platform, 2013

Synopsis

The hp version of the finite element method (hp-FEM) combined with adaptive mesh refinement is a particularly efficient method for solving partial differential equations because it can achieve a convergence rate that is exponential in the number of degrees of freedom. hp-FEM allows for refinement in both the element size, h, and the polynomial degree, p. Like adaptive refinement for the h version of the finite element method, a posteriori error estimates can be used to determine where the mesh needs to be refined, but a single error estimate can not simultaneously determine whether it is better to do the refinement by h or by p. Several strategies for making this determination have been proposed over the years. In this paper we summarize these strategies and present the results of a numerical experiment to study the convergence properties of these strategies.

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Éditeur
CreateSpace Independent Publishing Platform
Date d'édition
2013
Langue
anglais
ISBN 10 
1493745166
ISBN 13 
9781493745166
Reliure
Broché
Nombre de pages
220
Coordonnées du fabricant
Manufactured by Amazon on behalf of the author
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