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Numerical methods in electromagnetism - NOOE129

Title:	Numerické metody v elektromagnetismu
Guaranteed by:	Institute of Physics of Charles University (32-FUUK)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2019
Semester:	summer
E-Credits:	3
Hours per week, examination:	summer s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Note:	course can be enrolled in outside the study plan

Guarantor:	RNDr. Martin Veis, Ph.D. RNDr. Roman Antoš, Ph.D.

Aim of the course -

To introduce the students advanced numerical methods for solution of selected problems in electromagnetism.

Last update: Veis Martin, RNDr., Ph.D. (07.06.2019)

Course completion requirements -

oral exam

Last update: Veis Martin, RNDr., Ph.D. (07.06.2019)

Literature -

[1] A. Tafloe, Computational electrodynamics, The Finite-Difference Time-Domain Method, Artech House, 1995

[2] J. D. Jackson, Classical Electrodynamics, John Wiley,1999

[3] J. N. Reddy, Introduction to the Finite Element Method, McGraw-Hill, 1993

Last update: Veis Martin, RNDr., Ph.D. (07.06.2019)

Requirements to the exam -

knowledge of the topics explained during lectures

Last update: Veis Martin, RNDr., Ph.D. (07.06.2019)

Syllabus -

1. Method of Moments

Integral form of Maxwell equations, Method of Weighted Residuals, Galerkin Method,

RWG base functions.

2. Finite Element Method (FEM)

Discretization, variation approach, solution of selected 1D and 2D problems.

3. Finite Difference methods in Frequency (FDFD) and Time (FDTD) Domains

Discretization, “leapfrog” algorithm, solution of Maxwell equations, Courrant condition of numerical stability, boundary conditions.

4. Fourier Modal Method (FMM)

Periodic boundary conditions, expansion into eigenmodes by using methods of linear algebra.

Last update: Veis Martin, RNDr., Ph.D. (07.06.2019)