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Preconditioning Iterative Substructuring Methods Using Inexact Local Solvers

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Book cover Parallel Processing and Applied Mathematics (PPAM 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8385))

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Abstract

We consider several block preconditioners for iterative substructuring algorithms with inexact subdomain solvers, including incomplete Cholesky and V-cycle multigrid. Numerical results show that block triangular preconditioners are very competitive and in certain cases outperform presently used preconditioners based on full block triangular decomposition.

This work has been supported by Polish National Science Centre research grant 2011/01/B/ST1/01179.

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Acknowledgments

This research has been supported by Polish National Science Centre grant, number 2011/01/B/ST1/01179.

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Authors and Affiliations

  1. Institute of Applied Mathematics, University of Warsaw, Banacha 2, 02-097, Warszawa, Poland

    Piotr Krzyzanowski

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  1. Piotr Krzyzanowski
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Correspondence to Piotr Krzyzanowski .

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Editors and Affiliations

  1. Institute of Computer and Information Science, Czestochowa University of Technology, Czestochowa, Poland

    Roman Wyrzykowski

  2. University of Tennessee, Department of Computer Science, Knoxville, Tennessee, USA

    Jack Dongarra

  3. Institute of Computer and Information Science, Czestochowa University of Technology, Czestochowa, Poland

    Konrad Karczewski

  4. Technical University of Denmark Informatics and Mathematical Modelling, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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Krzyzanowski, P. (2014). Preconditioning Iterative Substructuring Methods Using Inexact Local Solvers. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2013. Lecture Notes in Computer Science(), vol 8385. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55195-6_45

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  • DOI: https://doi.org/10.1007/978-3-642-55195-6_45

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-55194-9

  • Online ISBN: 978-3-642-55195-6

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