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New Theoretical Coefficient Robustness Results for FETI-DP

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Domain Decomposition Methods in Science and Engineering XX

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 91))

Abstract

In this short note, we present new weighted Poincaré inequalities (WPIs) with weighted averages that allow a robustness analysis of dual-primal finite element tearing and interconnecting (FETI-DP) methods in certain cases where jumps of coefficients are not aligned with the subdomain partition.

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Acknowledgements

The authors would like to thank Clark Dohrmann for the fruitful discussions during and after the DD20 conference.

Author information

Authors and Affiliations

  1. Institute of Computational Mathematics, Johannes Kepler University, Altenberger Str. 69, 4040, Linz, Austria

    Clemens Pechstein

  2. Mathematical Sciences Department, Worcester Polytechnic Institute, 100 Institute Road, Worcester, MA, 01609-2280, USA

    Marcus Sarkis

  3. Instituto de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, Brazil

    Marcus Sarkis

  4. Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK

    Robert Scheichl

Authors
  1. Clemens Pechstein
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  2. Marcus Sarkis
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  3. Robert Scheichl
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Corresponding author

Correspondence to Clemens Pechstein .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, University of California, San Diego, Gilman Drive 9500, La Jolla, 92093-0112, California, USA

    Randolph Bank

  2. , Department of Mathematics, University of California, San Diego, Gilman Drive 9500, La Jolla, 92093-0112, California, USA

    Michael Holst

  3. , Courant Institute of Mathematical, New York University, Mercer Street 251, New York, 10012-1185, New York, USA

    Olof Widlund

  4. , Department of Mathematics, Pennsylvania State University, State College, 16802, Pennsylvania, USA

    Jinchao Xu

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Pechstein, C., Sarkis, M., Scheichl, R. (2013). New Theoretical Coefficient Robustness Results for FETI-DP. In: Bank, R., Holst, M., Widlund, O., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35275-1_36

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