Numerical Methodes of Electromagnetic Tasks Solution

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Telecommunications Engineering

Synopsis:

The subject deals with analysis of electromagnetic field distribution through both air and other environment. It offers a view deep inside to popular numerical methods as Finite Difference Method, Boundary Element Method and Finite Element Method. Handling the software is obvious nowadays; nevertheless, the mayor attention is paid to understanding the mathematical background of the used apparatus and understanding the physical principles of the solved tasks in symbiosis to particular used software.

Requirements:

Syllabus of lectures:

1. Introduction to numerical methods.

2. Principle of minimal effect.

3. Introduction to mathematical background.

4. Analogous field quantities, static vs. time-dependent electromagnetic field, 2D vs. 3D, material boundaries.

5. Finite Difference Method (theory, examples).

6. Weighted Residual Method (collocation methods).

7. Weighted Residual Method, Galerkin?s Global.

8. Finite Element Method (FEM) - basics.

9. FEM - connecting the elements, boundary conditions.

10. FEM - examples.

11. Boundary Element Method (basics, region connecting, examples).

12. Chosen issues of FEM - relations between electromagnetic and mechanical quantities.

13. Chosen issues of FEM - time dependency, higher order elements, 3D, nonlinearities.

14. Actual state-of-the-art, conclusions, comparison of advantages and disadvantages of presented solutions.

Syllabus of tutorials:

Study Objective:

The subject-graduates will be able to look inside the numerical method and prevent the potential fatal misunderstandings caused by improper either physical or mathematical interpretation of given task, eventually by incorrect approach of the chosen method.

Study materials:

[1]MAGA, D., HARŤANSKÝ, R. Numerické riešenia. Brno: Univerzita Obrany, 2006. 174 s. ISBN 80-7231-130-1.

[2]DiBARBA, P., SAVINI, A., WIAK, S. Field Models in Electricity and Magnetism. [New York]: Springer Verlag, 2008. 174 s. ISBN 978-1-4020-6842-3.

[3]JIN, J. The Finite Element Method in Electromagnetics. [s. l.]: John Wiley & Sons, 2002. 743 s. ISBN 0-471-43818-9.

[4]BINNS, K. J., LAWRENSON, P. J., TROWBRIDGE, C. W. The Analytical and Numerical Solution of Electric and Magnetic Fields. [s. l.]: Wiley Publishers, 1992.

Note:

Further information:

https://moodle.fel.cvut.cz

No time-table has been prepared for this course

The course is a part of the following study plans:

• Doctoral studies, daily studies (compulsory elective course)
• Doctoral studies, combined studies (compulsory elective course)
• Doctoral studies, structured daily studies (compulsory elective course)
• Doctoral studies, structured combined studies (compulsory elective course)