000 06644nam a2201129 i 4500
001 5201947
003 IEEE
005 20220712205558.0
006 m o d
007 cr |n|||||||||
008 151221s2006 njua ob 001 eng d
020 _a9780471786382
_qelectronic
020 _a9786610349784
020 _z6610349789
020 _z9780471741107
_qprint
020 _z0471786381
_qelectronic
020 _z9780471786375
_qelectronic
020 _z0471786373
_qelectronic
024 7 _a10.1002/0471786381
_2doi
035 _a(CaBNVSL)mat05201947
035 _a(IDAMS)0b0000648104af64
040 _aCaBNVSL
_beng
_erda
_cCaBNVSL
_dCaBNVSL
050 4 _aQC665.E4
_bZ48 2006eb
050 4 _aTK7867.2
_b.Z58 2006eb
082 0 4 _a530.141
_222
100 1 _aZhu, Yu,
_d1973-
_926246
245 1 0 _aMultigrid finite element methods for electromagnetic field modeling /
_cYu Zhu, Andreas C. Cangellaris.
264 1 _aHoboken, New Jersey :
_bWiley-IEEE,
_cc2006.
264 2 _a[Piscataqay, New Jersey] :
_bIEEE Xplore,
_c[2006]
300 _a1 PDF (xxviii, 408 pages) :
_billustrations.
336 _atext
_2rdacontent
337 _aelectronic
_2isbdmedia
338 _aonline resource
_2rdacarrier
490 1 _aIEEE Press series on electromagnetic wave theory ;
_v28
504 _aIncludes bibliographical references.
505 0 _aList 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.
506 1 _aRestricted to subscribers or individual electronic text purchasers.
520 _aThis 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.
530 _aAlso available in print.
538 _aMode of access: World Wide Web
588 _aDescription based on PDF viewed 12/21/2015.
650 0 _aElectromagnetic fields
_xMathematical models.
_926247
650 0 _aMultigrid methods (Numerical analysis)
_926248
655 0 _aElectronic books.
_93294
695 _aAccuracy
695 _aAlgorithm design and analysis
695 _aApproximation algorithms
695 _aApproximation methods
695 _aBooks
695 _aBoundary conditions
695 _aCalculus
695 _aCavity resonators
695 _aComputational efficiency
695 _aEigenvalues and eigenfunctions
695 _aElectric fields
695 _aElectric potential
695 _aElectromagnetic fields
695 _aElectromagnetic waveguides
695 _aElectromagnetics
695 _aElectrostatics
695 _aEquations
695 _aFinite element methods
695 _aGeometry
695 _aIndexes
695 _aInterpolation
695 _aMagnetic domains
695 _aMagnetic fields
695 _aMagnetic losses
695 _aMaterials
695 _aMathematical model
695 _aMatrices
695 _aMatrix decomposition
695 _aMaxwell equations
695 _aMedia
695 _aNull space
695 _aNumerical models
695 _aOptical surface waves
695 _aOptical waveguides
695 _aPeriodic structures
695 _aPerpendicular magnetic anisotropy
695 _aScattering
695 _aSparse matrices
695 _aSurface impedance
695 _aSurface waves
695 _aSymmetric matrices
695 _aTensile stress
695 _aTesting
695 _aVectors
700 1 _aCangellaris, Andreas C.
_926249
710 2 _aIEEE Xplore (Online Service),
_edistributor.
_926250
710 2 _aJohn Wiley & Sons,
_epublisher.
_96902
730 0 _aMyiLibrary
_h[ressource �electronique].
_926251
776 0 8 _iPrint version:
_z9780471741107
830 0 _aIEEE Press series on electromagnetic wave theory ;
_v28
_97592
856 4 2 _3Abstract with links to resource
_uhttps://ieeexplore.ieee.org/xpl/bkabstractplus.jsp?bkn=5201947
942 _cEBK
999 _c73718
_d73718