Numerical methods in electromagnetism - NOOE129
| Title: |
Numerické metody v elektromagnetismu |
| Form of teaching: |
lecture |
| Guaranteed by: |
Institute of Physics of Charles University (32-FUUK) |
| Faculty: |
Faculty of Mathematics and Physics |
| Actual: |
from 2019 |
| Duration in semesters: |
1 |
| Semester: |
summer |
| E-Credits: |
3 |
| Hours per week, examination: |
summer s.:2/0, Ex [HT] |
| Capacity: |
unlimited |
| Maximum number of enrolled students: |
unlimited |
| Min. number of students: |
unlimited |
| 4EU+: |
no |
| Virtual mobility / capacity: |
no |
| State of the course: |
taught |
| Language: |
Czech |
| Teaching methods: |
full-time |
| Repeated enrollment: |
2 / 2 / 2 / 2 |
| Note: |
course can be enrolled in outside the study plan |
|
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| Aim of the course -
| |
|
To introduce the students advanced numerical methods for solution of selected problems in electromagnetism.
Last update: Veis Martin, doc. RNDr., Ph.D. (07.06.2019)
Seznámit studenty s pokročilými numerickými metodami řešení vybraných problémů v elektromagnetismu.
Last update: Veis Martin, doc. RNDr., Ph.D. (07.06.2019)
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| Course completion requirements -
| |
|
oral exam
Last update: Veis Martin, doc. RNDr., Ph.D. (07.06.2019)
ústní zkouška
Last update: Veis Martin, doc. RNDr., Ph.D. (07.06.2019)
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| Literature -
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[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, doc. RNDr., 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
Last update: Veis Martin, doc. RNDr., Ph.D. (07.06.2019)
|
| Course assessment methods and requirements for successful completion, grading scheme -
| |
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knowledge of the topics explained during lectures
Last update: Veis Martin, doc. RNDr., Ph.D. (07.06.2019)
znalost látky probírané na přednáškách
Last update: Veis Martin, doc. RNDr., Ph.D. (07.06.2019)
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| Syllabus -
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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, doc. RNDr., Ph.D. (07.06.2019)
1. Metoda momentů (MoM)
Integrální tvar Maxwellových rovnic, Metody vážených reziduí, Galerkinova metoda, RWG bázové funkce.
2. Metody konečných prvků (FEM)
Diskretizace, variační přístup, řešení vybraných 1D a 2D problémů
3. Metoda konečných diferencí ve frekvenční (FDFD) a časové (FDTD) oblasti.
Diskretizace, „leapfrog“ algoritmus, řešení Maxwellových rovnic, Courrantova podmínka stability, okrajové podmínky.
4. Fourierovská modální metoda (FMM)
Periodické okrajové podmínky, rozvoj do vlastních módů lineárně-algebraickými metodami.
Last update: Veis Martin, doc. RNDr., Ph.D. (07.06.2019)
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