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A Posteriori Error Estimates for the Generalized Overlapping Domain Decomposition Methods
Joint Authors
Benlarbi, Hakima
Chibi, Ahmed-Salah
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-26
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
A posteriori error estimates for the generalized overlapping domain decomposition method (GODDM) (i.e., with Robin boundary conditions on the interfaces), for second order boundary value problems, are derived.
We show that the error estimate in the continuous case depends on the differences of the traces of the subdomain solutions on the interfaces.
After discretization of the domain by finite elements we use the techniques of the residual a posteriori error analysis to get an a posteriori error estimate for the discrete solutions on subdomains.
The results of some numerical experiments are presented to support the theory.
American Psychological Association (APA)
Benlarbi, Hakima& Chibi, Ahmed-Salah. 2012. A Posteriori Error Estimates for the Generalized Overlapping Domain Decomposition Methods. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993874
Modern Language Association (MLA)
Benlarbi, Hakima& Chibi, Ahmed-Salah. A Posteriori Error Estimates for the Generalized Overlapping Domain Decomposition Methods. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-993874
American Medical Association (AMA)
Benlarbi, Hakima& Chibi, Ahmed-Salah. A Posteriori Error Estimates for the Generalized Overlapping Domain Decomposition Methods. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993874
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993874