470-8741/01 – 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	Czech
Year of introduction	2010/2011	Year of cancellation
Intended for the faculties	FEI	Intended for study types	Follow-up Master

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
LUK76	doc. Ing. Dalibor Lukáš, Ph.D.

Extent of instruction for forms of study
Form of study	Way of compl.	Extent
Full-time	Credit and Examination	2+2
Part-time	Credit and Examination	10+10

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.

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

Part-time form (validity from: 2011/2012 Winter semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Exercises evaluation and Examination	Credit and Examination	100 (100)	51
Exercises evaluation	Credit	30	15
Examination	Examination	70	21	3

Mandatory attendence participation: Attendance at discussions is obligatory (70 %). Attendance at lectures is expected.

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Conditions for subject completion and attendance at the exercises within ISP: Completion of all mandatory tasks within individually agreed deadlines.

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Occurrence in study plans

Academic year	Programme	Branch/spec.	Form	Study language	Tut. centre	Year	Type of duty
2024/2025	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	K	Czech	Ostrava	2	Optional	study plan
2024/2025	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	P	Czech	Ostrava	2	Optional	study plan
2024/2025	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	P	Czech	Ostrava	2	Optional	study plan
2024/2025	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	K	Czech	Ostrava	2	Optional	study plan
2023/2024	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	P	Czech	Ostrava	2	Optional	study plan
2023/2024	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	K	Czech	Ostrava	2	Optional	study plan
2023/2024	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	P	Czech	Ostrava	2	Optional	study plan
2023/2024	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	K	Czech	Ostrava	2	Optional	study plan
2022/2023	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	K	Czech	Ostrava	2	Optional	study plan
2022/2023	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	P	Czech	Ostrava	2	Optional	study plan
2022/2023	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	K	Czech	Ostrava	2	Optional	study plan
2022/2023	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	P	Czech	Ostrava	2	Optional	study plan
2021/2022	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	P	Czech	Ostrava	2	Optional	study plan
2021/2022	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	K	Czech	Ostrava	2	Optional	study plan
2021/2022	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	P	Czech	Ostrava	2	Optional	study plan
2021/2022	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	K	Czech	Ostrava	2	Optional	study plan
2020/2021	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	P	Czech	Ostrava	2	Optional	study plan
2020/2021	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	K	Czech	Ostrava	2	Optional	study plan
2020/2021	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	K	Czech	Ostrava	2	Optional	study plan
2020/2021	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	P	Czech	Ostrava	2	Optional	study plan
2020/2021	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	P	Czech	Ostrava	2	Optional	study plan
2020/2021	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	K	Czech	Ostrava	2	Optional	study plan
2019/2020	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	P	Czech	Ostrava	2	Optional	study plan
2019/2020	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	K	Czech	Ostrava	2	Optional	study plan
2019/2020	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	P	Czech	Ostrava	2	Optional	study plan
2019/2020	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	P	Czech	Ostrava	2	Optional	study plan
2019/2020	(N0541A170007) Computational and Applied Mathematics	(S01) Applied Mathematics	K	Czech	Ostrava	2	Optional	study plan
2019/2020	(N0541A170007) Computational and Applied Mathematics	(S02) Computational Methods and HPC	K	Czech	Ostrava	2	Optional	study plan
2018/2019	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	P	Czech	Ostrava	2	Optional	study plan
2018/2019	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	K	Czech	Ostrava	2	Optional	study plan
2017/2018	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	P	Czech	Ostrava	2	Optional	study plan
2017/2018	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	K	Czech	Ostrava	2	Optional	study plan
2016/2017	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	P	Czech	Ostrava	2	Optional	study plan
2016/2017	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	K	Czech	Ostrava	2	Optional	study plan
2015/2016	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	P	Czech	Ostrava	2	Optional	study plan
2015/2016	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	K	Czech	Ostrava	2	Optional	study plan
2014/2015	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	P	Czech	Ostrava		Optional	study plan
2014/2015	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	K	Czech	Ostrava		Optional	study plan
2013/2014	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	P	Czech	Ostrava		Optional	study plan
2013/2014	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	K	Czech	Ostrava		Optional	study plan
2012/2013	(N3942) Nanotechnology	(3942T001) Nanotechnology	P	Czech	Ostrava	1	Choice-compulsory	study plan
2012/2013	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	P	Czech	Ostrava		Optional	study plan
2012/2013	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	K	Czech	Ostrava		Optional	study plan
2011/2012	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	P	Czech	Ostrava	2	Optional	study plan
2011/2012	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	K	Czech	Ostrava	2	Optional	study plan
2011/2012	(N3942) Nanotechnology	(3942T001) Nanotechnology	P	Czech	Ostrava	1	Choice-compulsory	study plan
2010/2011	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	P	Czech	Ostrava	2	Optional	study plan
2010/2011	(N2647) Information and Communication Technology	(1103T031) Computational Mathematics	K	Czech	Ostrava	2	Optional	study plan
2010/2011	(N3942) Nanotechnology	(3942T001) Nanotechnology	P	Czech	Ostrava	1	Choice-compulsory	study plan

Occurrence in special blocks

Block name	Academic year	Form of study	Study language	Year	W	S	Type of block	Block owner

Assessment of instruction

2013/2014 Winter