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A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version) - Couverture souple
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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A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version)
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CreateSpace Independent Publishing Platform, 2013
ISBN 10 : 1493745166
ISBN 13 : 9781493745166
Neuf
Couverture souple
Vendeur : California Books, Miami, FL, Etats-Unis
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A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version)
Edité par
Createspace Independent Publishing Platform, 2013
ISBN 10 : 1493745166
ISBN 13 : 9781493745166
Neuf
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Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 552. N° de réf. du vendeur C9781493745166
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A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version) (Paperback)
Edité par
Createspace Independent Publishing Platform, 2013
ISBN 10 : 1493745166
ISBN 13 : 9781493745166
Neuf
Paperback
Vendeur : CitiRetail, Stevenage, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : new. Paperback. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9781493745166
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