The multilevel fast multipole algorithm (MLFMA) for solving large-scale computational electromagnetics problems

by Ergul, Ozgur

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Title Statements

Full title :The multilevel fast multipole algorithm (MLFMA) for solving large-scale computational electromagnetics problems / Özgür Ergül, Levent Gürel ; IEEE Antennas and Propagation Society, sponsor.

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"--

Edition Statements

Publication Date:©2014

Publication Statements

Publisher(s):IEEE Press, Wiley
Place of Publication:Piscataway, NJ
Language:eng
Publication Date:©2014

The Physical Object

Description:1 online resource (1 volume) : : illustrations.

Edition Identifiers

ISBN:9781118844915, 1118844912, 111997741X, 9781119977414
oclc:ocn907481632
LC Classification:QC760.54
Dewey Decimal:537.01/5181

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.

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.

2.1.3 Discretizations of Surface Formulations2.1.4 Direct Calcula…

Subjects

Algorithmes ALGORITHMS Electromagnetism -- Computer simulation Electromagnetism -- Data processing Électromagnétisme -- Informatique Électromagnétisme -- Simulation par ord… SCIENCE -- Electromagnetism