470-8741/02 – Modeling of Electromagnetic Fields (MEPNT)
| Gurantor department | Department of Applied Mathematics | Credits | 6 |
| Subject guarantor | doc. Ing. Dalibor Lukáš, Ph.D. | Subject version guarantor | doc. Ing. Dalibor Lukáš, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Optional |
| Year | 2 | Semester | winter |
| | Study language | English |
| Year of introduction | 2015/2016 | Year of cancellation | |
| Intended for the faculties | FEI | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
The course aims at teaching of mathematical models of electromagnetic fields and their solution using state-of-the-art
numerical methods. At benchmarks we will demonstrate solution to electrostatics, magnetostatics, and electromagnetic
scattering. In particular, we emphasize the principles of the finite element method (FEM) as well as the boundary
element method (BEM), their efficient usage and a coupling of both.
Teaching methods
Lectures
Tutorials
Project work
Summary
Topics covered:
1. Electrostatics - physics, a 2d benchmark, nodal FEM, BEM.
2. Magnetostatics - physics, a 3d benchmark, edge FEM, FEM-BEM coupling.
3. Electromagnetic scattering - physics, a 3d benchmark, FEM with an absorption layer, BEM.
Compulsory 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.
Recommended 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.
Additional study materials
Way of continuous check of knowledge in the course of semester
Credit: 30 points (a project), min. 15
Exam: 70 points
E-learning
Other requirements
No additional requirements are imposed on the student.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
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.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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