Book description
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.
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 Integro-Differential 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 Low-Frequency 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 Matrix-Vector Multiplications
- 3.5 Strategies for Building Less-Accurate MLFMA
- 3.6 Iterative Solutions of Surface Formulations
- 3.7 MLFMA for Low-Frequency Problems
- 3.8 Concluding Remarks
-
Chapter 4: Parallelization of MLFMA for the Solution of Large-Scale 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 Large-Scale Electromagnetics Problems Involving PEC Objects
- 4.10 Solutions of Large-Scale 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 Large-Scale Computational Electromagnetics Problems
- Author(s):
- Release date: June 2014
- Publisher(s): Wiley-IEEE Press
- ISBN: 9781119977414
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