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A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version)
Contributor(s): Nist (Author)

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ISBN: 1493745166     ISBN-13: 9781493745166
Publisher: Createspace Independent Publishing Platform
OUR PRICE: $14.24  

Binding Type: Paperback
Published: November 2013
Qty:
Additional Information
BISAC Categories:
- Mathematics | Mathematical Analysis
Physical Information: 0.46" H x 8.5" W x 11.02" L (1.15 lbs) 220 pages
 
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Publisher Description:
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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