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On a Two-Level Parallel MIC(0) Preconditioning of Crouzeix-Raviart Non-conforming FEM Systems

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Book cover Numerical Methods and Applications (NMA 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2542))

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Abstract

In this paper we analyze a two-level preconditioner for finite element systems arising in approximations of second order elliptic boundary value problems by Crouzeix-Raviart non-conforming triangular linear elements. This study is focused on the efficient implementation of the modified incomplete LU factorization MIC(0) as a preconditioner in the PCG iterative method for the linear algebraic system. A special attention is given to the implementation of the method as a scalable parallel algorithm.

This work was supported in part by the National Science Foundation under grant DMS 9973328 and by the gift-grant by Saudi Aramco Oil Co. The second author has been also supported by the Bulgarian NSF Grants MM-801.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Texas A& M University, College Station, TX, USA

    Raytcho D. Lazarov

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

    Svetozar D. Margenov

Authors
  1. Raytcho D. Lazarov
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  2. Svetozar D. Margenov
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Editor information

Editors and Affiliations

  1. Central Laboratory for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, bl. 25A, 1113, Sofia, Bulgaria

    Ivan Dimov , Ivan Lirkov  & Svetozar Margenov ,  & 

  2. National Environmental Research Institute, Frederiksborgvej 399, P.O. Box 358, 4000, Roskilde, Denmark

    Zahari Zlatev

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© 2003 Springer-Verlag Berlin Heidelberg

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Lazarov, R.D., Margenov, S.D. (2003). On a Two-Level Parallel MIC(0) Preconditioning of Crouzeix-Raviart Non-conforming FEM Systems. In: Dimov, I., Lirkov, I., Margenov, S., Zlatev, Z. (eds) Numerical Methods and Applications. NMA 2002. Lecture Notes in Computer Science, vol 2542. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36487-0_21

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  • DOI: https://doi.org/10.1007/3-540-36487-0_21

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00608-4

  • Online ISBN: 978-3-540-36487-0

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