A homographic best approximation problem with application to optimized Schwarz waveform relaxation

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A homographic best approximation problem with application to optimized Schwarz waveform relaxation

We present and study a homographic best approximation problem, which arises in the analysis of waveform relaxation algorithms with optimized transmission conditions. Its solution characterizes in each class of transmission conditions the one with the best performance of the associated waveform relaxation algorithm. We present the particular class of first order transmission conditions in detail...

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ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 2009

ISSN: 0025-5718

DOI: 10.1090/s0025-5718-08-02145-5