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Strong Coupling Methods

  • Conference paper
Analysis and Simulation of Multifield Problems

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 12))

Abstract

We consider the procedure of computing the response of a coupled problem with a partitioned approach. Often we have existing procedures or even software to solve each sub-problem separately, and want to couple both. This setting seems to allow only the so-called weak coupling which is not sufficient for some problems. The so-called strong coupling — a totally implicit formulation — requires iteration in each time step. With the partitioned approach, one simple computational procedure is similar to a block-Gauss-Seidel iteration. We show why this approach may experience difficulties, and how they may be circumvented with block-Newton methods, still in the partitioned framework, by only using the solvers for the two sub-problems. We supply some examples from fluid-structure coupling.

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Authors and Affiliations

  1. Institute of Scientific Computing, Technische Universität Braunschweig, D-38092, Braunschweig, Germany

    Hermann G. Matthies & Jan Steindorf

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  1. Hermann G. Matthies
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  2. Jan Steindorf
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  1. Lehrstuhl für Angewandte Mathematik, Institut für Angewandte Analysis und Numerische Simulation, Universität Stuttgart, Pfaffenwaldring 57, D-70569, Stuttgart, Germany

    Wolfgang Wendland  & Messoud Efendiev  & 

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Matthies, H.G., Steindorf, J. (2003). Strong Coupling Methods. In: Wendland, W., Efendiev, M. (eds) Analysis and Simulation of Multifield Problems. Lecture Notes in Applied and Computational Mechanics, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36527-3_2

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  • DOI: https://doi.org/10.1007/978-3-540-36527-3_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05633-8

  • Online ISBN: 978-3-540-36527-3

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