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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version)

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

Nist

Paperback

General Mathematics

ISBN10: 1493745166
ISBN13: 9781493745166
Publisher: Createspace
Published: Nov 11 2013
Pages: 220
Weight: 1.15
Height: 0.46 Width: 8.50 Depth: 11.02
Language: English
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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