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- Author: U S Department of Commerce
- Publisher: CreateSpace Independent Publishing Platform
- Year: 2014
- Pages: 216
- ISBN-10: 149531653X
- ISBN-13: 9781495316531
- Format: 21.6 x 28 x 1.2 cm, softcover
- Language: English
- SAVE -10% with code: EXTRA
A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (e-book) (used book) | bookbook.eu
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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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- Author: U S Department of Commerce
- Publisher: CreateSpace Independent Publishing Platform
- Year: 2014
- Pages: 216
- ISBN-10: 149531653X
- ISBN-13: 9781495316531
- Format: 21.6 x 28 x 1.2 cm, softcover
- Language: English 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.
Reviews