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- Autorius: U S Department of Commerce
- Leidėjas: CreateSpace Independent Publishing Platform
- Metai: 2014
- Puslapiai: 216
- ISBN-10: 149531653X
- ISBN-13: 9781495316531
- Formatas: 21.6 x 28 x 1.2 cm, minkšti viršeliai
- Kalba: Anglų
A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (el. knyga) (skaityta knyga) | knygos.lt
Atsiliepimai
Aprašymas
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.
- Autorius: U S Department of Commerce
- Leidėjas: CreateSpace Independent Publishing Platform
- Metai: 2014
- Puslapiai: 216
- ISBN-10: 149531653X
- ISBN-13: 9781495316531
- Formatas: 21.6 x 28 x 1.2 cm, minkšti viršeliai
- Kalba: Anglų
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.
Atsiliepimai