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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.
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Previews available in: English
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1
Multigrid Finite Element Methods for Electromagnetic Field Modeling
2008, Wiley & Sons, Incorporated, John
in English
0470362545 9780470362549
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2
Multigrid Finite Element Methods for Electromagnetic Field Modeling
2006, John Wiley & Sons, Ltd.
Electronic resource
in English
0471786373 9780471786375
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3
Multigrid Finite Element Methods for Electromagnetic Field Modeling
2006, Wiley & Sons Australia, Limited, John
in English
0471786381 9780471786382
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4
Multigrid Finite Element Methods for Electromagnetic Field Modeling (IEEE Press Series on Electromagnetic Wave Theory)
February 3, 2006, Wiley-IEEE Press
in English
0471741108 9780471741107
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5
Multigrid Finite Element Methods for Electromagnetic Field Modeling
2006, Wiley & Sons, Incorporated, John
in English
1280349786 9781280349782
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6
Multigrid finite element methods for electromagnetic field modeling
2004, Wiley-Interscience, Wiley-IEEE Press
in English
0471741108 9780471741107
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Book Details
First Sentence
"The finite element method (FEM) is a numerical technique for the approximate solution of boundary value problems arising from the differential equation-based mathematical modeling of physical phenomena."
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- Created April 29, 2008
- 7 revisions
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July 31, 2019 | Edited by MARC Bot | associate edition with work OL11733478W |
April 24, 2010 | Edited by Open Library Bot | Fixed duplicate goodreads IDs. |
April 16, 2010 | Edited by bgimpertBot | Added goodreads ID. |
April 14, 2010 | Edited by Open Library Bot | Linked existing covers to the edition. |
April 29, 2008 | Created by an anonymous user | Imported from amazon.com record |