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An adaptive method for the approximation of the generalized cell mapping

✍ Scribed by Rabbijah Guder; Michael Dellnitz; Edwin Kreuzer

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
905 KB
Volume
8
Category
Article
ISSN
0960-0779

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✦ Synopsis

For the prediction of the long-term behavior and global analysis of nonlinear dynamical systems the generalized cell mapping is an efficient and powerful numerical tool. Since in general the generalized cell mapping cannot be computed directly it is necessary to develop a numerical method which allows us to approximate it. The purpose of our paper is to present such a method, where the approximation works in an adaptive way. Our method has the advantage that it can be controlled by a deterministic a priori error estimate. We illustrate its efficiency by an example.

πŸ“œ SIMILAR VOLUMES

An adaptive stabilized finite element me
An adaptive stabilized finite element method for the generalized Stokes problem
✍ Rodolfo Araya; Gabriel R. Barrenechea; Abner Poza πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 713 KB

In this work we present an adaptive strategy (based on an a posteriori error estimator) for a stabilized finite element method for the Stokes problem, with and without a reaction term. The hierarchical type estimator is based on the solution of local problems posed on appropriate finite dimensional