Description

Book Synopsis
The first comprehensive monograph to present state of the art utilization of multigrid methods for enhancing the modelling versatility, numerical robustness and computational efficiency of one of the most popular classes of numerical EM field modeling methods --- the method of finite elements.

Table of Contents
List of Figures.

List of Tables.

Preface.

Acknowledgments.

1. Introduction.

2. Hierarchical Basis Functions for Triangles and Tetrahedra.

3. Finite Element Formulations of Electromagnetic BVPs.

4. Iterative Methods, Preconditioners, and Multigrid.

5. Nested Multigrid Preconditioner.

6. Nested Multigrid Vector and Scaler Potential Preconditioner.

7. Hierarchical Multilevel and Hybrid Potential Preconditioners.

8. Krylov-Subspace Based Eigenvalue Analysis.

9. Two-Dimensional Eigenvalue Analysis of Waveguides.

10. Three-Dimensional Eigenvalue Analysis of Resonators.

11. Model Order Reduction of Electromagnetic Systems.

12. Finite Element Analysis of Periodic Structures.

Appendix A: Identities and Theorems from Vector Calculus.

Index.

Multigrid Finite Element Methods for Electromagnetic Field Modeling 28 IEEE Press Series on Electromagnetic Wave Theory

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    A Hardback by Y Zhu, Andreas C. Cangellaris

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      View other formats and editions of Multigrid Finite Element Methods for Electromagnetic Field Modeling 28 IEEE Press Series on Electromagnetic Wave Theory by Y Zhu

      Publisher: Wiley
      Publication Date: 07/03/2006
      ISBN13: 9780471741107, 978-0471741107
      ISBN10:

      Description

      Book Synopsis
      The first comprehensive monograph to present state of the art utilization of multigrid methods for enhancing the modelling versatility, numerical robustness and computational efficiency of one of the most popular classes of numerical EM field modeling methods --- the method of finite elements.

      Table of Contents
      List of Figures.

      List of Tables.

      Preface.

      Acknowledgments.

      1. Introduction.

      2. Hierarchical Basis Functions for Triangles and Tetrahedra.

      3. Finite Element Formulations of Electromagnetic BVPs.

      4. Iterative Methods, Preconditioners, and Multigrid.

      5. Nested Multigrid Preconditioner.

      6. Nested Multigrid Vector and Scaler Potential Preconditioner.

      7. Hierarchical Multilevel and Hybrid Potential Preconditioners.

      8. Krylov-Subspace Based Eigenvalue Analysis.

      9. Two-Dimensional Eigenvalue Analysis of Waveguides.

      10. Three-Dimensional Eigenvalue Analysis of Resonators.

      11. Model Order Reduction of Electromagnetic Systems.

      12. Finite Element Analysis of Periodic Structures.

      Appendix A: Identities and Theorems from Vector Calculus.

      Index.

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