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Computational Electromagnetics

  • Anders Bondeson
  • Thomas Rylander
  • Pär Ingelström

Part of the Texts in Applied Mathematics book series (TAM, volume 51)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Pages 1-9
  3. Pages 11-17
  4. Pages 19-35
  5. Pages 37-55
  6. Pages 153-189
  7. Pages 191-199
  8. Back Matter
    Pages 201-222

About this book

Introduction

Computational Electromagnetics is a young and growing discipline, expanding as a result of the steadily increasing demand for software for the design and analysis of electrical devices. This book introduces three of the most popular numerical methods for simulating electromagnetic fields: the finite difference method, the finite element method and the method of moments. In particular it focuses on how these methods are used to obtain valid approximations to the solutions of Maxwell's equations, using, for example, "staggered grids" and "edge elements." The main goal of the book is to make the reader aware of different sources of errors in numerical computations, and also to provide the tools for assessing the accuracy of numerical methods and their solutions. To reach this goal, convergence analysis, extrapolation, von Neumann stability analysis, and dispersion analysis are introduced and used frequently throughout the book. Another major goal of the book is to provide students with enough practical understanding of the methods so they are able to write simple programs on their own. To achieve this, the book contains several MATLAB programs and detailed description of practical issues such as assembly of finite element matrices and handling of unstructured meshes. Finally, the book aims at making the students well-aware of the strengths and weaknesses of the different methods, so they can decide which method is best for each problem.

The intended audience of this text consists of undergraduate and beginning graduate students with basic knowledge of electromagnetic field theory, numerical analysis, and MATLAB-programming.

Keywords

MATLAB Magnetic field Maxwell Software finite element method numerical analysis numerical methods programming

Authors and affiliations

  • Anders Bondeson
  • Thomas Rylander
    • 1
  • Pär Ingelström
    • 2
  1. 1.Department of ElectromagneticsChalmers University of TechnologyGöteborgSweden
  2. 2.Department of ElectromagneticsChalmers University of TechnologyGöteborgSweden

Bibliographic information

  • DOI https://doi.org/10.1007/b136922
  • Copyright Information Springer Science+Business Media, Inc. 2005
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-26158-4
  • Online ISBN 978-0-387-26160-7
  • Series Print ISSN 0939-2475
  • Buy this book on publisher's site