Mathematical Models and Numerical Simulation in Electromagnetism

✍ Scribed by Alfredo Bermúdez, Dolores Gómez, Pilar Salgado (auth.)

Publisher: Springer International Publishing
Year: 2014
Tongue: English
Leaves: 440
Series: Unitext 74 - La Matematica per il 3+2
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

The book represents a basic support for a master course in electromagnetism oriented to numerical simulation. The main goal of the book is that the reader knows the boundary-value problems of partial differential equations that should be solved in order to perform computer simulation of electromagnetic processes. Moreover it includes a part devoted to electric circuit theory based on ordinary differential equations. The book is mainly oriented to electric engineering applications, going from the general to the specific, namely, from the full Maxwell’s equations to the particular cases of electrostatics, direct current, magnetostatics and eddy currents models. Apart from standard exercises related to analytical calculus, the book includes some others oriented to real-life applications solved with MaxFEM free simulation software.

✦ Table of Contents

Front Matter....Pages i-xvii
Front Matter....Pages 1-2
The harmonic oscillator....Pages 3-19
The series RLC circuit....Pages 21-32
Linear electrical circuits....Pages 33-49
Front Matter....Pages 51-52
Maxwell’s equations in free space....Pages 53-65
Some solutions of Maxwell’s equations in free space....Pages 67-75
Maxwell’s equations in material regions....Pages 77-113
Electrostatics....Pages 115-137
Direct current....Pages 139-149
Magnetostatics....Pages 151-182
The eddy currents model....Pages 183-216
An introduction to nonlinear magnetics. Hysteresis....Pages 217-240
Front Matter....Pages 241-242
Electrical circuits with MaxFEM....Pages 243-265
Electrostatics with MaxFEM....Pages 267-298
Direct current with MaxFEM....Pages 299-305
Magnetostatics with MaxFEM....Pages 307-323
Eddy currents with MaxFEM....Pages 325-345
Back Matter....Pages 347-440

✦ Subjects

Computational Mathematics and Numerical Analysis; Electrical Engineering; Magnetism, Magnetic Materials; Mathematical Applications in the Physical Sciences

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