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Modeling of Electromagnetic Fields

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Course Unit Code470-8745/03
Number of ECTS Credits Allocated4 ECTS credits
Type of Course Unit *Choice-compulsory type A
Level of Course Unit *First Cycle
Year of Study *Third Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
LUK76doc. 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
Covered topics:

1. Principles of electromagnetism - charge interations, electric current, conductor interactions, magnetism, Maxwell's equations. Analytical solutions to simple problems.
2. Electrostatics - electrostatic field of a capacitor. Numerical solutions by a finite element method (FEM) and a boundary element method (BEM).
3. Magnetostatics - magnetostatic field of an electromagnet. Numerical solutions by FEM and BEM.
4. Electromagnetic scattering - a polarized light scattered from a slot. Solution by BEM for the 3D Helmholtz equation.
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.
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 TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Credit and ExaminationCredit and Examination100 (100)51
        CreditCredit30 15
        ExaminationExamination70 21