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A Posteriori Estimates for a Non-Overlapping Domain Decomposition Method

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Abstract.

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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Authors and Affiliations

  1. Institut für Numerische und Angewandte Mathematik, Universität Göttingen, Lotzestraße 16-18, D-37085 Göttingen, Germany, e-mail: lube@math.uni-goettingen.de , , , , , , DE

    F.-C. Otto & G. Lube

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  1. F.-C. Otto
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  2. G. Lube
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Received: March 31, 1998; revised November 17, 1998

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Otto, FC., Lube, G. A Posteriori Estimates for a Non-Overlapping Domain Decomposition Method. Computing 62, 27–43 (1999). https://doi.org/10.1007/s006070050011

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  • DOI: https://doi.org/10.1007/s006070050011

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