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Dual weighted a posteriori error estimation for a new nonconforming linear finite element on quadrilaterals

  • After a short introduction of a new nonconforming linear finite element on quadrilaterals recently developed by Park, we derive a dual weighted residual-based a posteriori error estimator (in the sense of Becker and Rannacher) for this finite element. By computing a corresponding dual solution we estimate the error with respect to a given target error functional. The reliability and efficiency of this estimator is analyzed in several numerical experiments.

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Metadaten
Author:Matthias GrajewskiORCiD, Jaroslav Hron, Stefan Turek
DOI:https://doi.org/10.1016/j.apnum.2004.09.016
ISSN:0168-9274
Parent Title (English):Applied Numerical Mathematics
Publisher:Elsevier
Place of publication:Amsterdam
Document Type:Article
Language:English
Year of Completion:2005
Date of the Publication (Server):2020/02/13
Volume:54
Issue:3-4
First Page:504
Last Page:518
Link:https://doi.org/10.1016/j.apnum.2004.09.016
Zugriffsart:bezahl
Institutes:FH Aachen / Fachbereich Medizintechnik und Technomathematik
collections:Verlag / Elsevier