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Course, academic year 2018/2019
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Numerical methods in electromagnetism - NOOE129
Title in English: Numerické metody v elektromagnetismu
Guaranteed by: Institute of Physics of Charles University (32-FUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2011 to 2018
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
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 -
Last update: RNDr. Martin Veis, Ph.D. (07.06.2019)

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

Course completion requirements -
Last update: RNDr. Martin Veis, Ph.D. (07.06.2019)

oral exam

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

[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

Requirements to the exam -
Last update: RNDr. Martin Veis, Ph.D. (07.06.2019)

knowledge of the topics explained during lectures

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

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.

 
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