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Modeling of Electromagnetic Fields

Type of study Follow-up Master
Language of instruction Czech
Code 470-8741/01
Abbreviation MEPNT
Course title Modeling of Electromagnetic Fields
Credits 6
Coordinating department Department of Applied Mathematics
Course coordinator doc. Ing. Dalibor Lukáš, Ph.D.

Subject syllabus

Lectures:
1. Principles of electromagnetism - charge interations.
2. Principles of electromagnetism - electric current, conductor interactions, magnetism.
3. Principles of electromagnetism - Maxwell's equations.
4. Analytical solutions to simple problems.
5. Electrostatics - electrostatic field of a capacitor.
6. Electrostatics - variational formulations, numerical solutions by a finite element method (FEM).
7. Electrostatics - boundary integral equations.
8. Electrostatics - boundary element method (BEM).
9. Magnetostatics - magnetostatic field of an electromagnet.
10. Magnetostatics - numerical solutions by FEM.
11. Magnetostatics - numerical solutions by BEM.
12. Magnetostatics - FEM-BEM coupling.
13. Electromagnetic scattering - a polarized light scattered from a slot.
14. Electromagnetic scattering - BEM for the 3D Helmholtz equation.

Exercises:
1. Principles of electromagnetism - charge interations.
2. Principles of electromagnetism - electric current, conductor interactions, magnetism.
3. Principles of electromagnetism - Maxwell's equations.
4. Analytical solutions to simple problems.
5. Electrostatics - electrostatic field of a capacitor.
6. Electrostatics - variational formulations, numerical solutions by a finite element method (FEM).
7. Electrostatics - boundary integral equations.
8. Electrostatics - boundary element method (BEM).
9. Magnetostatics - magnetostatic field of an electromagnet.
10. Magnetostatics - numerical solutions by FEM.
11. Magnetostatics - numerical solutions by BEM.
12. Magnetostatics - FEM-BEM coupling.
13. Electromagnetic scattering - a polarized light scattered from a slot.
14. Electromagnetic scattering - BEM for the 3D Helmholtz equation.

Projects:
BEM for 2d electrostatics.
FEM for 3d magnetostatics.

Literature

M. Křížek - Mathematical and Numerical Modelling in Electrical Engineering. Kluwer Academic Publishers 1996.
J. Schoeberl - Numerical Methods for Maxwell's Equations. Lecture Notes of Kepler University in Linz, 2005.

Advised literature

P. Monk - Finite Element Methods for Maxwell's Equations. Oxford University Press, 2003.
O. Steinbach, S. Rjasanow - The Fast Solution of Boundary Integral Equations. Springer 2007.