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International Conference on Parallel Processing and Applied Mathematics

PPAM 2019: Parallel Processing and Applied Mathematics pp 267–276Cite as

Simple Preconditioner for a Thin Membrane Diffusion Problem

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12044))

Abstract

A diffusion through a thin membrane problem discussed in [13] is discretized with a variant of the composite h-p discontinuous Galerkin method. A preconditioner based on the additive Schwarz method is introduced, and its convergence properties are investigated in numerical experiments.

This research has been partially supported by the Polish National Science Centre grant 2016/21/B/ST1/00350.

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References

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Acknowledgement

The author would like to thank two anonymous referees whose comments and remarks helped to improve the paper. This research has been partially supported by the Polish National Science Centre grant 2016/21/B/ST1/00350.

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Authors and Affiliations

  1. University of Warsaw, Warsaw, Poland

    Piotr Krzyżanowski

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  1. Piotr Krzyżanowski
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Correspondence to Piotr Krzyżanowski .

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Editors and Affiliations

  1. Czestochowa University of Technology, Czestochowa, Poland

    Roman Wyrzykowski

  2. University of Southern California, Marina del Rey, CA, USA

    Ewa Deelman

  3. University of Tennessee, Knoxville, TN, USA

    Jack Dongarra

  4. Czestochowa University of Technology, Czestochowa, Poland

    Konrad Karczewski

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Krzyżanowski, P. (2020). Simple Preconditioner for a Thin Membrane Diffusion Problem. In: Wyrzykowski, R., Deelman, E., Dongarra, J., Karczewski, K. (eds) Parallel Processing and Applied Mathematics. PPAM 2019. Lecture Notes in Computer Science(), vol 12044. Springer, Cham. https://doi.org/10.1007/978-3-030-43222-5_23

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  • DOI: https://doi.org/10.1007/978-3-030-43222-5_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-43221-8

  • Online ISBN: 978-3-030-43222-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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