Chapter 7. Hierarchical Multilevel and Hybrid Potential Preconditioners

  1. Yu Zhu1 and
  2. Andreas C. Cangellaris2

Published Online: 24 FEB 2006

DOI: 10.1002/0471786381.ch7

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) Hierarchical Multilevel and Hybrid Potential Preconditioners, in Multigrid Finite Element Methods for Electromagnetic Field Modeling, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471786381.ch7

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:

  • hierarchical multilevel potential preconditioners;
  • finite element approximation;
  • higher-order field formulation;
  • higher-order potential formulation;
  • symmetric hierarchical multilevel potential preconditioner

Summary

This chapter contains sections titled:

  • Higher-Order Field Formulation

  • Higher-Order Potential Formulation

  • Hierarchical Multilevel Potential Preconditioner

  • Hybrid Multilevel/Multigrid Potential Preconditioner

  • Numerical Experiments

  • Symmetric Hierarchical Multilevel Potential Preconditioner

  • Key Attributes of Multigrid and Multilevel Potential Preconditioners