470-8741/02 – Modeling of Electromagnetic Fields (MEPNT)

Gurantor departmentDepartment of Applied MathematicsCredits6
Subject guarantordoc. Ing. Dalibor Lukáš, Ph.D.Subject version guarantordoc. Ing. Dalibor Lukáš, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year2Semesterwinter
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFEIIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
LUK76 doc. Ing. Dalibor Lukáš, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined 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

Další požadavky na studenta

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

Combined form (validity from: 2015/2016 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 30  10
        Examination Examination 70  21
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P English Ostrava 2 Optional study plan
2019/2020 (N2647) Information and Communication Technology (1103T031) Computational Mathematics K English Ostrava 2 Optional study plan
2019/2020 (N0541A170008) Computational and Applied Mathematics (S01) Applied Mathematics P English Ostrava 2 Compulsory study plan
2019/2020 (N0541A170008) Computational and Applied Mathematics (S02) Computational Methods and HPC P English Ostrava 2 Optional study plan
2018/2019 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P English Ostrava 2 Optional study plan
2018/2019 (N2647) Information and Communication Technology (1103T031) Computational Mathematics K English Ostrava 2 Optional study plan
2017/2018 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P English Ostrava 2 Optional study plan
2017/2018 (N2647) Information and Communication Technology (1103T031) Computational Mathematics K English Ostrava 2 Optional study plan
2016/2017 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P English Ostrava 2 Optional study plan
2016/2017 (N2647) Information and Communication Technology (1103T031) Computational Mathematics K English Ostrava 2 Optional study plan
2015/2016 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P English Ostrava 2 Optional study plan
2015/2016 (N2647) Information and Communication Technology (1103T031) Computational Mathematics K English Ostrava 2 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner