Chew W.C., Jin J.-M., Michielssen E., Song J. (eds.) Fast and Efficient Algorithms in Computational Electromagnetics

Издательство Artech House, 2001, -949 pp.This book documents recent advances in computational electromagnetics performed under the auspices of the Center for Computational Electromagnetics at the University of Illinois, funded mainly by the Multidisciplinary University Research Initiative (MURI), a program administered by the Air Force Office of Scientific Research. Other funding agencies also contributed to the success of the Center, such as the National Science Foundation, Office of Naval Research, Army Research Office, and Department of Energy.
There is a tremendous need to bring the science of electromagnetic simulation, also known as computational electromagnetics, to the same confidence level as that achieved by circuit simulation. However, computational electromagnetics involves solving Maxwell's equations, which are more complex than circuit equations. It is hoped that one day electromagnetic simulation will master this complexity and enjoy the same pervasiveness in engineering design as does circuit simulation. We are grateful for the foresight of these funding agencies who share our passion for developing this technology.
This book does not pretend to be complete, as it reflects our viewpoint of computational electromagnetics. However, we believe that the knowledge required to support electromagnetic simulation in a sophisticated manner has to come from physicists, engineers, mathematicians, and computer scientists. Since electrical engineering is an offshoot of applied physics, we play the role of applied physicists in the development of this technology: we develop this technology based on our physical insight into the problems, while drawing on knowledge from mathematicians and computer scientists. The presentation style of most of the chapters of this book is in the manner of applied physicists or of traditional electromagneticists – hopefully, we sacrifice mathematical rigor for physical clarity.
This book is not an introduction to computational electromagnetics. It documents recent advances in computational electromagnetics in the manner of a monograph. A seasoned researcher in the area of computational electromagnetics should have little difficulty reading the material. It is also hoped that a graduate student or a professional with some preliminary background in computational electromagnetics or a classicist in electromagnetics who has done some rapid background reading, can easily digest the work reported in this book. For one who intends to perform research in this area, this book will be an excellent starting point. The variety of topics covered is sufficient to nourish many different research directions in this very interesting field.
Even though this book deals only with linear problems associated with Maxwell's equations, it can be gleaned from a cursory reading that such problems are rich; they are amenable to different mathematical analyses, and allow for different and interesting algorithm designs. Because of the linearity of the problems, both differential equation and integral equation solvers can be developed. Moreover, the problems can be solved in the frequency domain as well as the time domain, enhancing the efficiency and enriching the variety of these methods.Introduction to Electromagnetic Analysis and Computational Electromagnetics
Fast Multipole Method and Multilevel Fast Multipole Algorithm in 2D
FMM and MLFVA in 3D and Fast Illinois Solver Code
Parallelization of Multilevel Fast Multipole Algorithm on Distributed Memory Computers
Multilevel Fast Multipole Algorithm at Very Low Frequencies
Error Analysis of Surface Integral Equation Methods
Advances in the Theory of Perfectly Matched Layers
Fast Forward and Inverse Methods for Buried Objects
Low-Frequency Scattering from Penetrable Bodies
Efficient Analysis of Waveguiding Structures
Volume-Surface Integral Equation
Finite Element Analysis of Complex Axisymmetric Problems
Hybridization in Computational Electromagnetics
High-Order Methods in Computational Electromagnetics
Asymptotic Waveform Evaluation for Broadband Calculations
Full-Wave Analysis of Multilayer Microstrip Problems
The Steepest-Descent Fast Multipole Method
Plane-Wave Time-Domain Algorithms
Plane-Wave Time-Domain Algorithm Enhanced Time-Domain Integral Equation Solvers