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Quasi-optimality of BDDC Methods for MITC Reissner-Mindlin Problems

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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))

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Abstract

The goal of this paper is to improve a condition number bound proven in [5] for a Balancing Domain DecompositionMethod by Constraints (BDDC) for the Reissner- Mindlin plate bending problem discretized with MITC elements. This BDDC preconditioner is based on selecting the plate rotations and deflection degrees of freedom at the subdomain vertices as primal continuity constraints.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Milano, Via Saldini 50, 20133, Milano, Italy

    L. Beirão da Veiga & L. F. Pavarino

  2. Dipartimento di Scienze e Tecnologie Avanzate, Università del Piemonte Orientale, Via Bellini 25/G, I-15100, Alessandria, Italy

    C. Chinosi

  3. Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, 27100, Pavia, Italy

    C. Lovadina

  4. Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstrasse 8-10, 1040, Wien, Austria

    J. Schöberl

Authors
  1. L. Beirão da Veiga
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  2. C. Chinosi
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  3. C. Lovadina
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  4. L. F. Pavarino
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  5. J. Schöberl
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Corresponding author

Correspondence to L. Beirão da Veiga .

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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da Veiga, L.B., Chinosi, C., Lovadina, C., Pavarino, L.F., Schöberl, J. (2013). Quasi-optimality of BDDC Methods for MITC Reissner-Mindlin Problems. 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_76

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