Numerical Analysis of Electromagnetic Fields

1. Front Matter

   Pages I-XXI

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2. Universal Concepts for Numerical Analysis of Electromagnetic Field Problems

   1. Front Matter

      Pages 1-1

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   2. Fundamental Concepts of Electromagnetic Field Theory

      • Pei-bai Zhou

      Pages 3-34

   3. General Outline of Numerical Methods

      • Pei-bai Zhou

      Pages 35-60

3. Domain Methods

   1. Front Matter

      Pages 61-61

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   2. Finite Difference Method

      • Pei-bai Zhou

      Pages 63-94

   3. Fundamentals of Finite Element Method (FEM)

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      Pages 95-129

   4. Variational Finite Element Method

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      Pages 130-171

   5. Elements and Shape Functions

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      Pages 172-211

4. Boundary Methods

   1. Front Matter

      Pages 213-213

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   2. Charge Simulation Method

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      Pages 215-250

   3. Surface Charge Simulation Method (SSM)

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      Pages 251-286

   4. Boundary Element Method

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      Pages 287-326

   5. Moment Methods

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      Pages 327-348

5. Optimization Methods of Electromagnetic Field Problems

   1. Front Matter

      Pages 349-349

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   2. Methods of Applied Optimization

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      Pages 351-386

   3. Optimizing Electromagnetic Devices

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      Pages 387-401

6. Back Matter

   Pages 403-406

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Numerical methods for solving boundary value problems have developed rapidly. Knowledge of these methods is important both for engineers and scientists. There are many books published that deal with various approximate methods such as the finite element method, the boundary element method and so on. However, there is no textbook that includes all of these methods. This book is intended to fill this gap. The book is designed to be suitable for graduate students in engineering science, for senior undergraduate students as well as for scientists and engineers who are interested in electromagnetic fields. Objective Numerical calculation is the combination of mathematical methods and field theory. A great number of mathematical concepts, principles and techniques are discussed and many computational techniques are considered in dealing with practical problems. The purpose of this book is to provide students with a solid background in numerical analysis of the field problems. The book emphasizes the basic theories and universal principles of different numerical methods and describes why and how different methods work. Readers will then understand any methods which have not been introduced and will be able to develop their own new methods. Organization Many of the most important numerical methods are covered in this book. All of these are discussed and compared with each other so that the reader has a clear picture of their particular advantage, disadvantage and the relation between each of them. The book is divided into four parts and twelve chapters.

• Boundary Value Problems
• Computational Methods
• Electromagnetic fields
• Elektromagnet
• Feld
• Numerische Analysis
• Randwertproblem (Math.)
• elektromagnetisches Feld
• magnetisches Feld
• numerical analysis

• Dept. of Electrical Engineering, Xi’an Jiao-tong University, Xi’an Shaanxi, P.R. China

  Pei-bai Zhou

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