| Description |
1 online resource (1 volume) : illustrations. |
| Series |
IEEE Press series on electromagnetic wave theory |
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IEEE Press series on electromagnetic wave theory.
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| Bibliography |
Includes bibliographical references and index. |
| Contents |
Cover; Title Page; Copyright; Contents; Preface; List of Abbreviations; Chapter 1 Basics; 1.1 Introduction; 1.2 Simulation Environments Based on MLFMA; 1.3 From Maxwell's Equations to Integro-Differential Operators; 1.4 Surface Integral Equations; 1.5 Boundary Conditions; 1.6 Surface Formulations; 1.7 Method of Moments and Discretization; 1.7.1 Linear Functions; 1.8 Integrals on Triangular Domains; 1.8.1 Analytical Integrals; 1.8.2 Gaussian Quadratures; 1.8.3 Adaptive Integration; 1.9 Electromagnetic Excitation; 1.9.1 Plane-Wave Excitation; 1.9.2 Hertzian Dipole. |
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1.9.3 Complex-Source-Point Excitation1.9.4 Delta-Gap Excitation; 1.9.5 Current-Source Excitation; 1.10 Multilevel Fast Multipole Algorithm; 1.11 Low-Frequency Breakdown of MLFMA; 1.12 Iterative Algorithms; 1.12.1 Symmetric Lanczos Process; 1.12.2 Nonsymmetric Lanczos Process; 1.12.3 Arnoldi Process; 1.12.4 Golub-Kahan Process; 1.13 Preconditioning; 1.14 Parallelization of MLFMA; Chapter 2 Solutions of Electromagnetics Problems with Surface Integral Equations; 2.1 Homogeneous Dielectric Objects; 2.1.1 Surface Integral Equations; 2.1.2 Surface Formulations. |
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2.1.3 Discretizations of Surface Formulations2.1.4 Direct Calculations of Interactions; 2.1.5 General Properties of Surface Formulations; 2.1.6 Decoupling for Perfectly Conducting Surfaces; 2.1.7 Accuracy with Respect to Contrast; 2.2 Low-Contrast Breakdown and Its Solution; 2.2.1 A Combined Tangential Formulation; 2.2.2 Nonradiating Currents; 2.2.3 Conventional Formulations in the Limit Case; 2.2.4 Low-Contrast Breakdown; 2.2.5 Stabilization by Extraction; 2.2.6 Double-Stabilized Combined Tangential Formulation; 2.2.7 Numerical Results for Low Contrasts. |
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2.2.8 Breakdown for Extremely Low Contrasts2.2.9 Field-Based-Stabilized Formulations; 2.2.10 Numerical Results for Extremely Low Contrasts; 2.3 Perfectly Conducting Objects; 2.3.1 Comments on the Integral Equations; 2.3.2 Internal-Resonance Problem; 2.3.3 Formulations of Open Surfaces; 2.3.4 Low-Frequency Breakdown; 2.3.5 Accuracy with the RWG Functions; 2.3.6 Compatibility of the Integral Equations; 2.3.7 Convergence to Minimum Achievable Error; 2.3.8 Alternative Implementations of MFIE; 2.3.9 Curl-Conforming Basis Functions for MFIE; 2.3.10 LN-LT Type Basis Functions for MFIE and CFIE. |
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2.3.11 Excessive Discretization Error of the Identity Operator2.4 Composite Objects with Multiple Dielectric and Metallic Regions; 2.4.1 Special Case: Homogeneous Dielectric Object; 2.4.2 Special Case: Coated Dielectric Object; 2.4.3 Special Case: Coated Metallic Object; 2.5 Concluding Remarks; Chapter 3 Iterative Solutions of Electromagnetics Problems with MLFMA; 3.1 Factorization and Diagonalization of the Green's Function; 3.1.1 Addition Theorem; 3.1.2 Factorization of the Translation Functions; 3.1.3 Expansions; 3.1.4 Diagonalization; 3.2 Multilevel Fast Multipole Algorithm. |
| Summary |
"The Multilevel Fast Multipole Algorithm (MLFMA) for Solving Large-Scale Computational Electromagnetic Problems provides a detailed and instructional overview of implementing MLFMA. The book: Presents a comprehensive treatment of the MLFMA algorithm, including basic linear algebra concepts, recent developments on the parallel computation, and a number of application examples. Covers solutions of electromagnetic problems involving dielectric objects and perfectly-conducting objects. Discusses applications including scattering from airborne targets, scattering from red blood cells, radiation from antennas and arrays, metamaterials etc. Is written by authors who have more than 25 years experience on the development and implementation of MLFMA. The book will be useful for post-graduate students, researchers, and academics, studying in the areas of computational electromagnetics, numerical analysis, and computer science, and who would like to implement and develop rigorous simulation environments based on MLFMA"-- Provided by publisher. |
| Subject |
Electromagnetism -- Data processing.
|
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Electromagnetism -- Computer simulation.
|
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Algorithms.
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Algorithms |
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Électromagnétisme -- Informatique. |
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Électromagnétisme -- Simulation par ordinateur. |
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Algorithmes. |
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algorithms. |
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Algorithms |
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Electromagnetism -- Computer simulation |
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Electromagnetism -- Data processing |
| Added Author |
Gurel, Levent, author.
|
| Other Form: |
Print version: Ergül, Özgür. Multilevel fast multipole algorithm (MLFMA) for solving large-scale computational electromagnetics problems. First edition 9781118844977 (DLC) 2014013922 (OCoLC)876141191 |
| ISBN |
9781118844915 |
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1118844912 |
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111997741X |
|
9781119977414 |
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