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Incomplete Decomposition (ILU) — Algorithms, Theory, and Applications

Proceedings of the Eighth GAMM-Seminar, Kiel, January 24–26, 1992

  • Conference proceedings
  • © 1993

Overview

Editors:
  1. Wolfgang Hackbusch

    1. Institut für Informatik und Praktische Mathematik, Christian-Albrechts-Universität Kiel, Kiel 1, Deutschland

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    You can also search for this editor in PubMed   Google Scholar

  2. Gabriel Wittum

    1. IWR, Universität Heidelberg, Heidelberg, Deutschland

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM, volume 29)

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Table of contents (22 papers)

  1. Front Matter

    Pages I-VII
    Download chapter PDF

  2. Relaxed ILU Preconditioning for the CG Solution of a Singular Boundary Value Problem for Pressure

    • Vincent A. Barker, Bo Gervang
    Pages 1-11

  3. Locally Refined Solution of Unsymmetric and Nonlinear Problems

    • Peter Bastian
    Pages 12-21

  4. Incomplete Factorizations with S/P and Modified S/P Consistently Ordered M-Factors

    • Robert Beauwens
    Pages 22-31

  5. Grid- and Point-Oriented Multilevel Algorithms

    • Michael Griebel
    Pages 32-46

  6. Parallelizable Incomplete Factorization Preconditioning Methods

    • Ivar Gustafsson, Gunhild Lindskog
    Pages 47-56

  7. Modification of the ILU-Method for Enhanced Parallel Efficiency

    • Graham Horton, Ralf Knirsch, Gabriel Wittum
    Pages 57-66

  8. Discretization and Iterative Solution of Convection Diffusion Equations

    • R. Kornhuber, G. Wittum
    Pages 67-77

  9. Empirically modified block incomplete factorizations

    • Magolu monga-Made
    Pages 78-87

  10. Preconditioning of Blockstructured Linear Systems with Block ILU on Parallel Computers

    • Volker Mehrmann
    Pages 88-95

  11. Quadrant Tridiagonal Partitioning and Preconditioned Conjugate Gradient Method for Solving Elliptic Problems

    • G. Molnárka, S. Szabó
    Pages 96-102

  12. A new approximate factorization method

    • Yvan Notay
    Pages 103-112

  13. The use of sparse matrix techniques for solving the incompressible Navier-Stokes equations

    • A. van der Ploeg, F. W. Wubs
    Pages 113-121

  14. The Construction of the Interpolation Operator with I L U Decomposition for Algebraic Positive Definite Systems

    • Constantin Popa
    Pages 122-129

  15. The Smoothing Property for Regular Splittings

    • Arnold Reusken
    Pages 130-138

  16. On the Stability of the ILU — Method for Singular Perturbed Finite Element Problems

    • Stefan Sauter
    Pages 139-148

  17. ILU as a solver in a parallel multi-grid flow prediction code

    • M. Schäfer, E. Schreck
    Pages 149-158

  18. New Estimates of the Contraction Number of V-cycle Multi-Grid with Applications to Anisotropic Equations

    • Rob Stevenson
    Pages 159-167

  19. On ordering strategies in a multigrid algorithm

    • Stefan Turek
    Pages 168-178

  20. The effect of incomplete decomposition preconditioning on the convergence of Conjugate Gradients

    • Henk A. Van der Vorst, Gerard G. L. Sleijpen
    Pages 179-187
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Keywords

Editors and Affiliations

  • Institut für Informatik und Praktische Mathematik, Christian-Albrechts-Universität Kiel, Kiel 1, Deutschland

    Wolfgang Hackbusch

  • IWR, Universität Heidelberg, Heidelberg, Deutschland

    Gabriel Wittum

Bibliographic Information

  • Book Title: Incomplete Decomposition (ILU) — Algorithms, Theory, and Applications

  • Book Subtitle: Proceedings of the Eighth GAMM-Seminar, Kiel, January 24–26, 1992

  • Editors: Wolfgang Hackbusch, Gabriel Wittum

  • Series Title: Notes on Numerical Fluid Mechanics and Multidisciplinary Design

  • DOI: https://doi.org/10.1007/978-3-322-85732-3

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Fachmedien Wiesbaden 1993

  • Softcover ISBN: 978-3-528-07641-2Published: 01 January 1993

  • eBook ISBN: 978-3-322-85732-3Published: 12 June 2019

  • Series ISSN: 1612-2909

  • Series E-ISSN: 1860-0824

  • Edition Number: 1

  • Number of Pages: VII, 231

  • Number of Illustrations: 31 b/w illustrations

  • Topics: Mathematics, general

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