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A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version) - Softcover
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
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Paperback / softback
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
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Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 552. Seller Inventory # C9781493745166
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A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version) (Paperback)
Published by
Createspace Independent Publishing Platform, 2013
ISBN 10: 1493745166
ISBN 13: 9781493745166
New
Paperback
Seller: CitiRetail, Stevenage, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: 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. Seller Inventory # 9781493745166
Quantity: 1 available
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A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version)
Published by
CreateSpace Independent Publishing Platform, 2013
ISBN 10: 1493745166
ISBN 13: 9781493745166
New
Softcover
Seller: California Books, Miami, FL, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Print on Demand. Seller Inventory # I-9781493745166
Quantity: Over 20 available