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MIC(0) Preconditioning of Rotated Trilinear FEM Elliptic Systems

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Large-Scale Scientific Computing (LSSC 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2179))

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Abstract

New results on preconditioning of rotated multilinear non-conforming FEM elliptic systems in the case of mesh anisotropy are presented. The stiffness matrix is first approximated by a proper auxiliary M-matrix, and then modified incomplete factorization MIC(0) with perturbation is applied. The derived condition number estimates and the presented numerical tests illustrate well the dependency of the PCG iterations on the anisotropy ratio.

Supported by Ministry of Education and Science of Bulgaria under Grant # MM 801/98 and by Center of Excellence BIS-21 grant ICA1-2000-70016

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Authors and Affiliations

  1. Central Laboratory of Parallel Processing, Bulgarian Academy of Sciences, Bulgaria

    Ivan Georgiev & Svetozar Margenov

Authors
  1. Ivan Georgiev
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  2. Svetozar Margenov
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Editors and Affiliations

  1. Central Laboratory for Parallel Processing, Bulgarian Academy of Sciences, Acad G. Bontchev, 1113, Sofia, Bulgaria

    Svetozar Margenov

  2. DTU, UNI•C, Danish IT Centre for Education and Research, Bldg. 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

  3. University of Rousse, Studentska 8, 7017, Rousse, Bulgaria

    Plamen Yalamov

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Georgiev, I., Margenov, S. (2001). MIC(0) Preconditioning of Rotated Trilinear FEM Elliptic Systems. In: Margenov, S., Waśniewski, J., Yalamov, P. (eds) Large-Scale Scientific Computing. LSSC 2001. Lecture Notes in Computer Science, vol 2179. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45346-6_8

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  • DOI: https://doi.org/10.1007/3-540-45346-6_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43043-8

  • Online ISBN: 978-3-540-45346-8

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