Integral Methods in Low-Frequency Electromagnetics

Pavel Solin, Ivo Dolezel, Pavel Karban, Bohus Ulrych

John Wiley & Sons, Aug 11, 2009 - Computers - 416 pages

A modern presentation of integral methods in low-frequency electromagnetics

This book provides state-of-the-art knowledge on integral methods in low-frequency electromagnetics. Blending theory with numerous examples, it introduces key aspects of the integral methods used in engineering as a powerful alternative to PDE-based models. Readers will get complete coverage of:

• The electromagnetic field and its basic characteristics

• An overview of solution methods

• Solutions of electromagnetic fields by integral expressions

• Integral and integrodifferential methods

• Indirect solutions of electromagnetic fields by the boundary element method

• Integral equations in the solution of selected coupled problems

• Numerical methods for integral equations

All computations presented in the book are done by means of the authors' own codes, and a significant amount of their own results is included. At the book's end, they also discuss novel integral techniques of a higher order of accuracy, which are representative of the future of this rapidly advancing field.

Integral Methods in Low-Frequency Electromagnetics is of immense interest to members of the electrical engineering and applied mathematics communities, ranging from graduate students and PhD candidates to researchers in academia and practitioners in industry.

Contents

• Acknowledgments: xxvii
• 1 Electromagnetic Fields and their Basic Characteristics: 1
• 2 Overview of Solution Methods: 27
• 3 Solution of Electromagnetic Fields by Integral Expressions: 83
• 4 Integral and Integrodifferential Methods: 145
• 5 Indirect Solution of Electromagnetic Fields by the Boundary Element Method: 217
• 6 Integral Equations in Solution of Selected Coupled Problems: 245
• 7 Numerical Methods for Integral Equations: 281
• Appendix A Basic Mathematical Tools: 301
• Appendix B Special Functions: 319
• Appendix C Integration Techniques: 333
• References: 375
• Topic Index: 385

About the author

Ivo Dolezel is Full Professor at the Czech Technical University (CTU) in Prague and Senior Researcher at the Institute of Thermomechanics of the Academy of Sciences of the Czech Republic. His professional interests are in the numerical simulation of electromagnetic fields with particular emphasis on power applications, coupled problems, special electrical machines, and electromagnetic compatibility.

Pavel Karban is Assistant Professor at the Department of Theory of Electrical Engineering at the University of West Bohemia in Pilsen. His research interests include computational electromagnetics, particularly differential and integral models of low-frequency magnetic fields and coupled problems.

Pavel Solin is Associate Professor at the University of Nevada, Reno, and Senior Researcher at the Institute of Thermomechanics of the Academy of Sciences of the Czech Republic, Prague. His professional interests are aimed at modern adaptive higher-order finite element methods (hp-FEM) and higher-order methods for integral equations, with applications to multi-scale multi-physics-coupled problems in various areas of engineering and science.

Bibliographic information

• Title: Integral Methods in Low-Frequency Electromagnetics
• Authors: Pavel Solin, Ivo Dolezel, Pavel Karban, Bohus Ulrych
• Publisher: John Wiley & Sons, 2009
• ISBN: 047050272X, 9780470502723
• Length: 416 pages
• Subjects: Computers / Programming / Algorithms; Mathematics / General; Technology & Engineering / Electrical