| Course Unit Code | 470-8741/01 |
|---|
| Number of ECTS Credits Allocated | 6 ECTS credits |
|---|
| Type of Course Unit * | Optional |
|---|
| Level of Course Unit * | Second Cycle |
|---|
| Year of Study * | Second Year |
|---|
| Semester when the Course Unit is delivered | Winter Semester |
|---|
| Mode of Delivery | Face-to-face |
|---|
| Language of Instruction | Czech |
|---|
| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
|---|
| Name of Lecturer(s) | Personal ID | Name |
|---|
| LUK76 | doc. Ing. Dalibor Lukáš, Ph.D. |
| 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. |
| Learning Outcomes of the Course Unit |
|---|
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.
|
| Course Contents |
|---|
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.
|
| Recommended or Required Reading |
|---|
| Required Reading: |
|---|
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. |
D. Lukáš - Matematické modelování elektromagnetických polí. Skripta VŠB-TU Ostrava, srpen 2011.
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 Reading: |
|---|
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.
|
P. Monk - Finite Element Methods for Maxwell's Equations. Oxford University Press, 2003.
O. Steinbach, S. Rjasanow - The Fast Solution of Boundary Integral Equations.
|
| Planned learning activities and teaching methods |
|---|
| Lectures, Tutorials, Project work |
| Assesment methods and criteria |
|---|
| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
|---|
| Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 |
| Exercises evaluation | Credit | 30 | 15 |
| Examination | Examination | 70 | 21 |