Numerical methods in electromagnetism / M.V.K. Chari, S.J. Salon.

Format:

Book

Author/Creator:

Chari, M. V. K.

Contributor:

Salon, S. J. (Sheppard Joel), 1948-

Series:

Electromagnetism.

Academic Press series in electromagnetism

Language:

English

Subjects (All):

Electromagnetism--Mathematics.

Electromagnetism.

Physical Description:

1 online resource (783 p.)

Edition:

1st ed.

Place of Publication:

San Diego : Academic Press, c2000.

Language Note:

English

Summary:

Electromagnetics is the foundation of our electric technology. It describes the fundamental principles upon which electricity is generated and used. This includes electric machines, high voltage transmission, telecommunication, radar, and recording and digital computing. This book will serve both as an introductory text for graduate students and as a reference book for professional engineers and researchers. This book leads the uninitiated into the realm of numerical methods for solving electromagnetic field problems by examples and illustrations. Detailed descriptions of advanced techniques

Contents:

Front Cover; Numerical Methods in Electromagnetism; Copyright Page; Contents; Foreword; Preface; CHAPTER 1. BASIC PRINCIPLES OF ELECTROMAGNETIC FIELDS; 1.1 Introduction; 1.2 Static Electric Fields; 1.3 The Electric Potential; 1.4 Electric Fields and Materials; 1.5 Interface Conditions on the Electric Field; 1.6 Laplace's and Poisson's Equations; 1.7 Static Magnetic Fields; 1.8 Energy in the Magnetic Field; 1.9 Quasi-statics: Eddy Currents and Diffusion; 1.10 The Wave Equation; 1.11 Discussion of Choice of Variables; 1.12 Classification of Differential Equations

CHAPTER 2. OVERVIEW OF COMPUTATIONAL METHODS IN ELECTROMAGNETICS 2.1 Introduction and Historical Background; 2.2 Graphical Methods; 2.3 Conformal Mapping; 2.4 Experimental Methods; 2.5 Electro Conducting Analog; 2.6 Resistive Analog; 2.7 Closed Form Analytical Methods; 2.8 Discrete Analytical Methods; 2.9 Transformation Methods for Nonlinear Problems; 2.10 Nonlinear Magnetic Circuit Analysis; 2.11 Finite Difference Method; 2.12 Integral Equation Method; 2.13 The Finite Element Method; CHAPTER 3. THE FINITE DIFFERENCE METHOD; 3.1 Introduction; 3.2 Difference Equations

3.3 Laplace's and Poisson's Equations 3.4 Interfaces Between Materials; 3.5 Neumann Boundary Conditions; 3.6 Treatment of Irregular Boundaries; 3.7 Equivalent Circuit Representation; 3.8 Formulas For High-Order Schemes; 3.9 Finite Differences With Symbolic Operators; 3.10 Diffusion Equation; 3.11 Conclusions; CHAPTER 4. VARIATIONAL AND GALERKIN METHODS; 4.1 Introduction; 4.2 The Variational Method; 4.3 The Functional and its Extremum; 4.4 Functional in more than one space variable and its extremum; 4.5 Derivation of the Energy-Related Functional; 4.6 Ritz's method; 4.7 The Wave Equation

4.8 Variational Method for Integral Equations 4.9 Introduction to The Galerkin Method; 4.10 Example of the Galerkin Method; CHAPTER 5. SHAPE FUNCTIONS; 5.1 Introduction; 5.2 Polynomial Interpolation; 5.3 Deriving Shape Functions; 5.4 Lagrangian Interpolation; 5.5 Two-Dimensional Elements; 5.6 High-Order Triangular Interpolation Functions; 5.7 Rectangular Elements; 5.8 Derivation of Shape Functions for Serendipity Elements; 5.9 Three-Dimensional Finite Elements; 5.10 Orthogonal Basis Functions; CHAPTER 6. THE FINITE ELEMENT METHOD; 6.1 Introduction

6.2 Functional minimization and global assembly 6.3 Solution to the nonlinear magnetostatic problem with first-order triangular finite elements; 6.4 Application of the Newton-Raphson Method to a First-Order Element; 6.5 Discretization of Time by the Finite Element Method; 6.6 Axisymmetric Formulation for the Eddy Current Problem Using Vector Potential; 6.7 Finite Difference and First-Order Finite Elements; 6.8 Galerkin Finite Elements; 6.9 Three-Element Magnetostatic Problem; 6.10 Permanent Magnets; 6.11 Numerical Example of Matrix Formation for Isoparametric Elements; 6.12 Edge Elements

CHAPTER 7. INTEGRAL EQUATIONS

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 749-758) and index.

ISBN:

1-281-05955-2

9786611059552

0-08-051289-5

OCLC:

476113093