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Parallel Implementation of the FETI DDM Constraint Matrix on Top of PETSc for the PermonFLLOP Package

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Parallel Processing and Applied Mathematics (PPAM 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9573))

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Abstract

This paper deals with implementation of the FETI non-overlapping domain decomposition method within our new software toolbox PERMON, combining quadratic programming algorithms and domain decomposition methods. It is built on top of the PETSc framework for numerical computations. Particularly, we focus on parallel implementation of the matrix which manages connectivity between subdomains within the FETI method. We present a basic idea of our approach based on processing local and global numberings of the degrees of freedom on subdomain interfaces.

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Acknowledgements

This work was supported by the European Regional Development Fund in the IT4Innovations Centre of Excellence project (CZ.1.05/1.1.00/02.0070); Project of major infrastructures for research, development and innovation of Ministry of Education, Youth and Sports with reg. num. LM2011033; by the EXA2CT project funded from the EUs Seventh Framework Programme (FP7/2007–2013) under grant agreement no. 610741; by the internal student grant competition project SP2015/186 “PERMON toolbox development”; and by the Grant Agency of the Czech Republic (GACR) project no. 15-18274S.

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Authors and Affiliations

  1. IT4Innovations National Supercomputing Center, Ostrava, Czech Republic

    Alena Vasatova, Martin Cermak & Vaclav Hapla

  2. Department of Applied Mathematics, FEI, VSB, Technical University of Ostrava, Ostrava, Czech Republic

    Alena Vasatova & Vaclav Hapla

Authors
  1. Alena Vasatova
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  2. Martin Cermak
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  3. Vaclav Hapla
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Corresponding author

Correspondence to Vaclav Hapla .

Editor information

Editors and Affiliations

  1. Czestochowa University of Technolog, Czestochowa, Poland

    Roman Wyrzykowski

  2. Department of Computer Science, University of Southern California, Marina Del Rey, California, USA

    Ewa Deelman

  3. Electrical Engineering & Comput. Science, University of Tennessee, Knoxville, Tennessee, USA

    Jack Dongarra

  4. Czestochowa University of Technology, Institute of Computer & Information Sci., Czestochowa, Poland

    Konrad Karczewski

  5. Department of Computer Science, AGH University of Science and Technology, Krakow, Poland

    Jacek Kitowski

  6. Systèmes d’informations, Big Data et Rec, AGH University of Science and Technology, Krakow, Poland

    Kazimierz Wiatr

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Vasatova, A., Cermak, M., Hapla, V. (2016). Parallel Implementation of the FETI DDM Constraint Matrix on Top of PETSc for the PermonFLLOP Package. In: Wyrzykowski, R., Deelman, E., Dongarra, J., Karczewski, K., Kitowski, J., Wiatr, K. (eds) Parallel Processing and Applied Mathematics. PPAM 2015. Lecture Notes in Computer Science(), vol 9573. Springer, Cham. https://doi.org/10.1007/978-3-319-32149-3_15

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  • DOI: https://doi.org/10.1007/978-3-319-32149-3_15

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  • Online ISBN: 978-3-319-32149-3

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