Electromagnetics through the Finite Element Method : A Simplified Approach Using Maxwell's Equations book cover
1st Edition

Electromagnetics through the Finite Element Method
A Simplified Approach Using Maxwell's Equations

ISBN 9780367890162
Published December 12, 2019 by CRC Press
212 Pages

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Book Description

Shelving Guide: Electrical Engineering

Since the 1980s more than 100 books on the finite element method have been published, making this numerical method the most popular. The features of the finite element method gained worldwide popularity due to its flexibility for simulating not only any kind of physical phenomenon described by a set of differential equations, but also for the possibility of simulating non-linearity and time-dependent studies. Although a number of high-quality books cover all subjects in engineering problems, none of them seem to make this method simpler and easier to understand.

This book was written with the goal of simplifying the mathematics of the finite element method for electromagnetic students and professionals relying on the finite element method for solving design problems. Filling a gap in existing literature that often uses complex mathematical formulas, Electromagnetics through the Finite Element Method presents a new mathematical approach based on only direct integration of Maxwell’s equation. This book makes an original, scholarly contribution to our current understanding of this important numerical method.

Table of Contents

Steps on Finite Element Method. Fundamentals of Electromagnetism. Maxwell´s Equations. Finite Element Method for Static Electromagnetic Fields. Finite Element Method for Time-Varying Electromagnetic Fields. Finite Element Method for Axisymmetric Geometries. Finite Element Method for High Frequencies. Finite Element Method for Electrostatics and Three-dimension Electrokinetics. Results Exploration.

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Jose Roberto Cardoso was born in Marilia, SP Brazil, in 1949. He received his B.S., M.S. and Ph.D degree in electrical engineering from Escola Politecnica da USP, SP, Brazil, in 1974, 1979 and 1986, respectively. Since 1999, he has been a Professor with the Energy and Electrical Automation Department, Escola Politecnica da USP. He is the author of three books, more than 70 articles, and has advised more than 40 theses/dissertations. His research interests include numerical methods for electromagnetics, theoretical electromagnetics, electrical machines, electromechanical biomedical application, electrical railway research and engineering education. He is the former president of SBMAG – Brazilian Electromagnetics Society and former Dean of Escola Politecnica da USP. He is the founder of the LMAG – Electromagnetic Applied Laboratory. Prof. Cardoso was a recipient of the 2013 Emeritus Engineer of the Year in Sao Paulo.


"There will be ‘purists’ that will see in this book an over-simplification of the subject. But engineers, including myself will like it precisely because of the simplifications afforded. In the end, for an engineer, the important thing is that ‘it works’ and that one understands how it works. I cannot find anything negative to say about it. I am glad that Prof. Cardoso finally decided to write the book."
—Nathan Ida, The University of Akron, Ohio, USA

"This is a novel approach to teaching electromagnetics through numerical methods. The fundamentals are sound and students need much less math sophistication compared to traditional methods. The approach I believe will motivate students and does provide insights not available with classical texts."
—Sheppard Salon, Rensselaer Polytechnic Institute, Troy, New York, USA