Book description
The Multilevel Fast Multipole Algorithm (MLFMA) for Solving LargeScale 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 perfectlyconducting 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 postgraduate 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.
Table of contents
 Cover
 Series Page
 Title Page
 Copyright
 Preface
 List of Abbreviations

Chapter 1: Basics
 1.1 Introduction
 1.2 Simulation Environments Based on MLFMA
 1.3 From Maxwell's Equations to IntegroDifferential Operators
 1.4 Surface Integral Equations
 1.5 Boundary Conditions
 1.6 Surface Formulations
 1.7 Method of Moments and Discretization
 1.8 Integrals on Triangular Domains
 1.9 Electromagnetic Excitation
 1.10 Multilevel Fast Multipole Algorithm
 1.11 LowFrequency Breakdown of MLFMA
 1.12 Iterative Algorithms
 1.13 Preconditioning
 1.14 Parallelization of MLFMA
 Chapter 2: Solutions of Electromagnetics Problems with Surface Integral Equations

Chapter 3: Iterative Solutions of Electromagnetics Problems with MLFMA
 3.1 Factorization and Diagonalization of the Green's Function
 3.2 Multilevel Fast Multipole Algorithm
 3.3 Lagrange Interpolation and Anterpolation
 3.4 MLFMA for Hermitian MatrixVector Multiplications
 3.5 Strategies for Building LessAccurate MLFMA
 3.6 Iterative Solutions of Surface Formulations
 3.7 MLFMA for LowFrequency Problems
 3.8 Concluding Remarks

Chapter 4: Parallelization of MLFMA for the Solution of LargeScale Electromagnetics Problems
 4.1 On the Parallelization of MLFMA
 4.2 Parallel Computing Platforms for Numerical Examples
 4.3 Electromagnetics Problems for Numerical Examples
 4.4 Simple Parallelizations of MLFMA
 4.5 The Hybrid Parallelization Strategy
 4.6 The Hierarchical Parallelization Strategy
 4.7 Efficiency Considerations for Parallel Implementations of MLFMA
 4.8 Accuracy Considerations for Parallel Implementations of MLFMA
 4.9 Solutions of LargeScale Electromagnetics Problems Involving PEC Objects
 4.10 Solutions of LargeScale Electromagnetics Problems Involving Dielectric Objects
 4.11 Concluding Remarks
 Chapter 5: Applications
 Appendix
 References
 Index
 End User License Agreement
Product information
 Title: The Multilevel Fast Multipole Algorithm (MLFMA) for Solving LargeScale Computational Electromagnetics Problems
 Author(s):
 Release date: June 2014
 Publisher(s): WileyIEEE Press
 ISBN: 9781119977414
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