Electromagnetics Through the Finite Element Method

From Maxwell’s Equations to Code

José Roberto Cardoso, Rooney R. A. Coelho

• Publisher: CRC Press
• Year: 2025
• eBook ISBN: 9781040452486
• Topic: Physical Sciences

This book presents the easiest way to learn finite element method (FEM) for electromagnetism - from static phenomena to high frequencies in a single book, based solely on Maxwell's equations. All the formalism associated with FEM is presented in detail, with simple numerical examples, duly commented to facilitate understanding of the method.

Electromagnetics Through the Finite Element Method, Second Edition introduces techniques for coupling magnetic phenomena with electrical circuits and demonstrates special treatment and simulation techniques for electromagnetic problems with an open domain. This new edition includes a complete chapter on how to produce your own FEM software for electromagnetism quickly and easily. It also includes a new section on new computer programming techniques. It includes a chapter dedicated to presenting the technique for simultaneous simulation of the magnetic circuits by FEM with the analysis of electrical circuits. This technique is very useful in industrial applications where it is necessary to know not only the magnetic device, but also the converter that drives it. This new edition will not only teach the basics of this methodology, but readers will also learn about the techniques applied in industry and the computational resources to write their own FEM software, using the facilities of the Python language. The potential of this approach has been demonstrated for over 30 years with undergraduate students.

The simplified approach presented in this new edition will not only benefit undergraduate students but will also be useful to practicing engineers and researchers looking to introduce themselves to these numerical methods.

Table of contents

• Cover
• Half-Title
• Title
• Copyright
• Contents
• Preface
• About the Authors
• Chapter 1 Steps for Finite Element Method
• Chapter 2 Fundamentals of Electromagnetism
• Chapter 3 Maxwell’s Equations
• Chapter 4 Finite Element Method in Static, Electric, and Magnetic Fields
• Chapter 5 Finite Element Method for Time-Dependent Electromagnetic Fields
• Chapter 6 Finite Element Method for Axisymmetric Geometries
• Chapter 7 Finite Element Method for High Frequency
• Chapter 8 Three-Dimensional Finite Element Method
• Chapter 9 Electrical and Magnetic Circuit Coupling through the Finite Element Method: Time-dependent Analysis
• Chapter 10 Electrical and Magnetic Circuit Coupling through the Finite Element Method: Steady State AC Analysis
• Chapter 11 Formulating the FEM Using the Weighted Residual Method
• Chapter 12 Hands-On Finite Element Method: Build Your Own Solver from Scratch
• Index