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

Nist

ISBN 10: 1493745166 / ISBN 13: 9781493745166

Verlag: CreateSpace Independent Publishing Platform, 2013

Beschreibung

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Bestandsnummer des Verkäufers 9781493745166

Bibliografische Details

• Titel: A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version)
• Verlag: CreateSpace Independent Publishing Platform
• Erscheinungsjahr: 2013
• Sprache: Englisch
• ISBN-10: 1493745166
• ISBN-13: 9781493745166
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.