## Computational Methods in Electromagnetics

Vortragende/r (Mitwirkende/r) Simon Adrian [L] 0000002929 4 SWS Wintersemester 2018/19 Englisch Siehe TUMonline Siehe TUMonline

### Lernziele

After completion of the module, the students have aquired fundamental knowledge on numerical methods applied in high frequency engineering to compute electromagnetic fields. By solving projects related to the numerical methods, they are able to transfer and apply these methods to new problems related to partial differential equations. In particular, they are able to judge which numerical technique should be used depending on the requirements. Furthermore, they are able to evaluate the applicability of a numerical solution strategy in the context of computational electromagnetics.

### Beschreibung

Physical basics: Maxwell‘s equations, boundary conditions, energy relations, time revolution, dispersion relation and wave velocities, low-frequency approximation, eigenvalue problems Numerical solvers: Finite difference method, finite difference time domain method, finite element method, integral equation method Numerical analysis: Numerical integration, convergence, stability analysis, numerical dispersion, absorbing boundary conditions, variational methods Programming: Introduction to the programming language Julia, discussion of practical implementation of the different solvers

### Inhaltliche Voraussetzungen

Basics in field theory, wave propagation and mathematics. Lectures: Elektromagnetische Feldtheorie (Theory of Electromagnetic Fields) Analysis 1-3, (Calculus including partial differential equations) Lineare Algebra (Linear Algebra), Grundlagen der Hochfrequenztechnik (Introduction to High-Frequency Engineering)

### Lehr- und Lernmethoden

Learning method: In addition to the individual methods of the students, consolidated knowledge is aspired by homework assignments and a programming project. Teaching method: During the lectures students are instructed in a teacher-centered style.

### Studien-, Prüfungsleistung

The final grade is composed of - final oral examination (70%) - project (30%) In addition, the students have the chance to voluntarily solve homework assignments. These will count 20% of the final grade, if the average grade of the oral examination and the project (80%) and of the grade on the homework assignments (20%) will lead to an improvement of the grade.

### Empfohlene Literatur

Thomas Rylander,‎ Pär Ingelström,‎ Anders Bondeson: Computational Electromagnetics, Springer, 2013