Chapter 4. Iterative Methods, Preconditioners, and Multigrid

  1. Yu Zhu1 and
  2. Andreas C. Cangellaris2

Published Online: 24 FEB 2006

DOI: 10.1002/0471786381.ch4

Multigrid Finite Element Methods for Electromagnetic Field Modeling

Multigrid Finite Element Methods for Electromagnetic Field Modeling

How to Cite

Zhu, Y. and Cangellaris, A. C. (2006) Iterative Methods, Preconditioners, and Multigrid, in Multigrid Finite Element Methods for Electromagnetic Field Modeling, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471786381.ch4

Author Information

  1. 1

    Cadence Design Systems, Inc.

  2. 2

    University of Illinois at Urbana-Champaign

Publication History

  1. Published Online: 24 FEB 2006
  2. Published Print: 17 FEB 2006

ISBN Information

Print ISBN: 9780471741107

Online ISBN: 9780471786382

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Keywords:

  • iterative methods;
  • preconditioners;
  • linear matrix theory;
  • boundary value problems;
  • preconditioner matrix

Summary

This chapter contains sections titled:

  • Definitions

  • Iterative Methods for the Solution of Large Matrices

  • Generalized Minimum Residual Method

  • Conjugate Gradient Method

  • The Preconditioner Matrix

  • Multigrid Process and Its Use as a Preconditioner