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

Nist

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.

Détails de l'édition

• 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; https://www.amazon.fr/hz/contact-us; ; c/o Amazon Media EU S.à.r.l., 38 Avenue John F. Kennedy; Luxembourg; L-1855; Luxembourg