Multigrid finite element methods for electromagnetic field modeling / (Record no. 73718)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 06644nam a2201129 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 5201947 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220712205558.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 151221s2006 njua ob 001 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780471786382 |
| -- | electronic |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9786610349784 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | electronic |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | electronic |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | electronic |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 530.141 |
| 100 1# - AUTHOR NAME | |
| Author | Zhu, Yu, |
| 245 10 - TITLE STATEMENT | |
| Title | Multigrid finite element methods for electromagnetic field modeling / |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 PDF (xxviii, 408 pages) : |
| 490 1# - SERIES STATEMENT | |
| Series statement | IEEE Press series on electromagnetic wave theory ; |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | 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. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This is the first comprehensive monograph that features state-of-the-art multigrid methods for enhancing the modeling versatility, numerical robustness, and computational efficiency of one of the most popular classes of numerical electromagnetic field modeling methods: the method of finite elements. The focus of the publication is the development of robust preconditioners for the iterative solution of electromagnetic field boundary value problems (BVPs) discretized by means of finite methods. Specifically, the authors set forth their own successful attempts to utilize concepts from multigrid and multilevel methods for the effective preconditioning of matrices resulting from the approximation of electromagnetic BVPs using finite methods. Following the authors' careful explanations and step-by-step instruction, readers can duplicate the authors' results and take advantage of today's state-of-the-art multigrid/multilevel preconditioners for finite element-based iterative electromagnetic field solvers. Among the highlights of coverage are: * Application of multigrid, multilevel, and hybrid multigrid/multilevel preconditioners to electromagnetic scattering and radiation problems * Broadband, robust numerical modeling of passive microwave components and circuits * Robust, finite element-based modal analysis of electromagnetic waveguides and cavities * Application of Krylov subspace-based methodologies for reduced-order macromodeling of electromagnetic devices and systems * Finite element modeling of electromagnetic waves in periodic structures The authors provide more than thirty detailed algorithms alongside pseudo-codes to assist readers with practical computer implementation. In addition, each chapter includes an applications section with helpful numerical examples that validate the authors' methodologies and demonstrate their computational efficiency and robustness. This groundbreaking book, with its coverage of an exciting new enabling computer-aided design technology, is an essential reference for computer programmers, designers, and engineers, as well as graduate students in engineering and applied physics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| Subject | Electromagnetic fields |
| General subdivision | Mathematical models. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| Subject | Multigrid methods (Numerical analysis) |
| 700 1# - AUTHOR 2 | |
| Author 2 | Cangellaris, Andreas C. |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://ieeexplore.ieee.org/xpl/bkabstractplus.jsp?bkn=5201947 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Hoboken, New Jersey : |
| -- | Wiley-IEEE, |
| -- | c2006. |
| 264 #2 - | |
| -- | [Piscataqay, New Jersey] : |
| -- | IEEE Xplore, |
| -- | [2006] |
| 336 ## - | |
| -- | text |
| -- | rdacontent |
| 337 ## - | |
| -- | electronic |
| -- | isbdmedia |
| 338 ## - | |
| -- | online resource |
| -- | rdacarrier |
| 588 ## - | |
| -- | Description based on PDF viewed 12/21/2015. |
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| -- | Accuracy |
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| -- | Algorithm design and analysis |
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| -- | Approximation algorithms |
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| -- | Approximation methods |
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| -- | Books |
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| -- | Boundary conditions |
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| -- | Calculus |
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| -- | Cavity resonators |
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| -- | Computational efficiency |
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| -- | Eigenvalues and eigenfunctions |
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| -- | Electric fields |
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| -- | Electric potential |
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| -- | Electromagnetic fields |
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| -- | Electromagnetic waveguides |
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| -- | Electromagnetics |
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| -- | Electrostatics |
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| -- | Equations |
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| -- | Finite element methods |
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| -- | Geometry |
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| -- | Indexes |
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| -- | Interpolation |
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| -- | Magnetic domains |
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| -- | Magnetic fields |
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| -- | Magnetic losses |
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| -- | Materials |
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| -- | Mathematical model |
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| -- | Matrices |
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| -- | Matrix decomposition |
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| -- | Maxwell equations |
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| -- | Media |
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| -- | Null space |
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| -- | Numerical models |
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| -- | Optical surface waves |
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| -- | Optical waveguides |
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| -- | Periodic structures |
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| -- | Perpendicular magnetic anisotropy |
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| -- | Scattering |
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| -- | Sparse matrices |
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| -- | Surface impedance |
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| -- | Surface waves |
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| -- | Symmetric matrices |
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| -- | Tensile stress |
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| -- | Testing |
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| -- | Vectors |
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