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Application of the Jacobi—Davidson Method to Spectral Calculations in Magnetohydrodynamics

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1823))

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Abstract

For the solution of the generalized complex non-Hermitian eigenvalue problems Ax = λBX occurring in the spectral study of linearized resistive magnetohydrodynamics (MHD) a new parallel solver based on the recently developed Jacobi-Davidson [18] method has been developed. A brief presentation of the implementation of the solver is given here. The new solver is very well suited for the computation of some selected interior eigenvalues related to the resistive Alfvén wave spectrum and is well parallelizable. All features of the spectrum are easily and accurately computed with only a few target shifts.

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Author information

Authors and Affiliations

  1. FOM-Instituut for Plasma Physics ‘Rijnhuizen’, P.O. Box 1207, 3430 BE, Nieuwegein, The Netherlands

    A. J. C. Beliën, B. van der Holst & J. P. Goedbloed

  2. Centre for Mathematics and Computer Science, P.O. Box 94079, 1090 GB, Amsterdam, The Netherlands

    M. Nool

  3. MARIN, P.O. Box 28, 6700 AA, Wageningen, The Netherlands

    A. van der Ploeg

Authors
  1. A. J. C. Beliën
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  2. B. van der Holst
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  3. M. Nool
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  4. A. van der Ploeg
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  5. J. P. Goedbloed
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Editor information

Editors and Affiliations

  1. Institute of Computer Science and Academic Computer Center CYFRONET, University of Mining and Metallurgy (AGH), al. Mickiewicza 30, 30-059, Cracow, Poland

    Marian Bubak

  2. Faculteit der Natuurwetenschappen, Wiskunde en Informatica, Universiteit van Amsterdam, 1098 SJ, Amsterdam, The Netherlands

    Hamideh Afsarmanesh  & Bob Hertzberger  & 

  3. California Institute of Technology, Caltech 158-79, Pasadena, CA, 91125, USA

    Roy Williams

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© 2000 Springer-Verlag Berlin Heidelberg

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Beliën, A.J.C., van der Holst, B., Nool, M., van der Ploeg, A., Goedbloed, J.P. (2000). Application of the Jacobi—Davidson Method to Spectral Calculations in Magnetohydrodynamics. In: Bubak, M., Afsarmanesh, H., Hertzberger, B., Williams, R. (eds) High Performance Computing and Networking. HPCN-Europe 2000. Lecture Notes in Computer Science, vol 1823. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45492-6_13

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  • DOI: https://doi.org/10.1007/3-540-45492-6_13

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67553-2

  • Online ISBN: 978-3-540-45492-2

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