A Posteriori Estimates for a Non-Overlapping Domain Decomposition Method

被引：0
|
作者：
F.-C. Otto
G. Lube
机构：
[1] Institut für Numerische und Angewandte Mathematik,
[2] Universität Göttingen,undefined
[3] Lotzestraße 16-18,undefined
[4] D-37085 Göttingen,undefined
[5] Germany,undefined
[6] e-mail: lube@math.uni-goettingen.de ,undefined
来源：
Computing | 1999年 / 62卷
关键词：
AMS Subject Classifications:65N55, 65N30.; Key words.Domain decomposition, interface conditions, a posteriori error estimates, finite elements.;
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摘要：
We consider a non-overlapping domain decomposition method for diffusion-reaction problems which is known to converge strongly from previous work. We derive an a posteriori estimate which bounds the errors on the subdomains by the difference of traces of the subdomain solutions. If the domain decomposition method is discretized by finite elements we can adapt the techniques of the usual a posteriori error analysis for finite elements to get an a posteriori estimate for the discrete subdomain solutions.
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页码：27 / 43
页数：16
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