Course detail

Numerical Modeling Fundamentals

FEKT-MPA-NMFAcad. year: 2025/2026

Students will learn basic principles of optimization and how to use them to solve design tasks. Next, students will be taught basic principles of numerical modeling of electromagnetic and mechanical structures. Students will be able to model and design those structures in the MATLAB and HFSS modeling environment. Theoretical background achieved in preceding subjects (antennas, filters, guides, amplifiers...) will be verified by practical CAD design. Students will apply obtained skills and learned methods to solve an individual project. 

Language of instruction

English

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

doc. Ing. Petr Kadlec, Ph.D.

Department

Department of Radio Electronics (UREL)

Offered to foreign students

Of all faculties

Entry knowledge

The subject knowledge on the Bachelor´s degree level is requested.

Rules for evaluation and completion of the course

Students obtain points based on activities in the PC tutorials, as from a test during the semester. Exam is exam is given after the final project defense.
Evaluation of activities is specified by a regulation, which is issued by the lecturer responsible for the course annually.

Aims

The subject aims to learn students about tools of numerical analysis for modeling and design of microwave circuits and mechanical structures. Obtained knowledge will be applied to design these structures with the help of CAD modeling.
The graduate is able to:
- understand principles of selected optimization techniques and choose appropriate method for selected problem, formulate the fitness functon,
- understand principles of basic numerical methods,
- use these methods for simulation and design of various structures.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

ABRAMOWITZ, M. a I. A. STEGUN. Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables. 3. GB: Dover Publications, 1965. ISBN 0486612724. (EN)
DEB, K. Multi-objective optimization using evolutionary algorithms. Chichester: John Wiley, c2001. Wiley paperback series. ISBN 0-471-87339-X. (EN)
GERALD, Curtis F. a Patrick O. WHEATLEY. Applied numerical analysis. 4th ed. Reading, Mass.: Addison-Wesley Pub. Co., c1989. ISBN 0-201-11583-2. (EN)
SADIKU, Matthew N. O. a Matthew N. O. SADIKU. Numerical techniques in electromagnetics with MATLAB. 3rd ed. Boca Raton, Fla.: CRC Press, c2009. ISBN 142006309X. (EN)

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme MPA-SAP Master's 1 year of study, winter semester, compulsory-optional

Type of course unit

 

Lecture

13 hod., optionally

Teacher / Lecturer

doc. Ing. Petr Kadlec, Ph.D.

Syllabus

1. Numerical Modelling Cycle.

2. Coordinate Systems, Transformations.

3. Finite Difference Approximation.

4. Finite Difference Method.

5. Numerical Integration.

6. 1D Finite Element Method.

7. 2D Finite Element Method.

8. Method of Moments.

9. Optimization: Optimality Conditions.

10. Local Optimization Methods.

11. Global Optimization Methods.

12. Multi-objective Optimization.

 

Exercise in computer lab

39 hod., compulsory

Teacher / Lecturer

doc. Ing. Petr Kadlec, Ph.D.

Syllabus

1. Numerical Modelling Cycle.

2. Coordinate Systems, Transformations.

3. Finite Difference Approximation.

4. Finite Difference Method.

5. Numerical Integration.

6. 1D Finite Element Method.

7. 2D Finite Element Method.

8. Method of Moments.

9. Optimization: Optimality Conditions.

10. Local Optimization Methods.

11. Global Optimization Methods.

12. Multi-objective Optimization.