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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. Numerical Methods in Electromagnetism 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 are also included for the benefit of working engineers and research students.- Comprehensive descriptions of numerical methods
- In-depth introduction to finite differences, finite elements, and integral equations
- Illustrations and applications of linear and nonlinear solutions for multi-dimensional analysis
- Numerical examples to facilitate understanding of the methods
- Appendices for quick reference of mathematical and numerical methods employed
1. Basic Principles of Electromagnetic Fields2. Overview of Computational Methods in Electromagnetics3. The Finite Difference Method4. Variational and Galerkin Methods5. Shape Functions6. The Finite Element Method7. Integral Equations8. Open Boundary Problems9. High- Frequency Problems with Finite Elements10. Low-Frequency Applications11. Solution of EquationsA. Vector OperatorsB. Triangle Area in Terms of Vertex CoordinatesC. Fourier Transform MehtodD. Integrals of Area CoordinatesE. Integrals of Voluume CoordinatesF. Gauss-Legendre Quadrature Formulae, Abscissae and, Weight CoefficientsG. Shape Functions for 1D Finite ElementsH. Shape Functions for 2D Finite ElementsI. Shape Functions for 3D Finite Elements
