General Prerequisites
The two main objectives of the course are the following:
1. To teach the students how to pose, analyze and numerically solve electromagnetic field problems.
2. To provide them a general survey of the more commonly used computation schemes, with emphasis on some of the most popular methods, such as: Finite Difference Method (FDM), Finite Element Method (FEM), Boundary Element Method (BEM), Method of Moments (MOM) and Finite Difference Time Domain (FDTD).
Learning Outcomes
Weighted residuals for error estimation in the analytic and numerical approximate solution of electromagnetic field problems. The Point-Matching, Rayleigh-Ritz, Galerkin, Least Squares, and Sub-domain Collocation techniques as special cases of the general weighted residuals methodology. Numerical methods for the solution of complex electromagnetic field problems. Introduction to the Finite-Difference method (discretization of the continuous space, finite-difference equations, error estimation, iterative techniques, and Crank-Nicolson, Dufort-Frankel schemes), Finite Element Method (discretization, local-global numbering, shape functions, load and stiffness matrices, system solution, post-processing and visualization of numerical results), Method-of-Moments (weight and basis functions, categories of integral equations, Green’s functions), and Finite-Difference Time-Domain Method (finite-difference equations, the Yee's algorithm, stability, dispersion, open-boundary problems, absorbing boundary conditions, perfectly matched layers).
Keywords
Eomputational electromangetics, Numerical methods, Finite elements, Finite differences
Additional bibliography for study
1. K. S. Kunz and R. J. Luebbers, The Finite Difference Time Domain Method for Electromagnetics, CRC Press, 1993.
2. M. N. O. Sadiku, Numerical Techniques in Electromagnetics, CRC Press, 2010.
3. P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers, Cambridge University Press, 1996.
4. A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd edition, Artech House, 2005.