Numerics of Partial Differential Equations II - Modelling of Electrodynamic
Lecture (4 SWS) with Tutorial (2 SWS) in summer term 2016 at TU Berlin
Link to university calendar 
|Lectures||Wed, 10.15 -
11.45||MA 542||Dr. Kersten Schmidt
15. Juni will not take place, replacement lecture on June 30th 4pm-5:30pm in room MA 376
20. Juli will not take place, replacement lecture on July 14th 4pm-5:30pm in room MA 376
Replacement lecture on Thursday, May 26th, 16.00 - 17.30 in room MA 376.
- Alternating Magnetic Field
- © Kersten Schmidt
The lecture deals with problems in electromagnetics described by Maxwell's equations, including regimes of low frequency, that are electrostatics and quasi-electrostatics, and of high frequency, that is electromagnetic wave propagation or optics. For a numerical description of the elliptic partial differential equations (PDEs) behind, we use finite elements and the variational framework they are based on.
- Overview over electromagnetic phenomena and models
- Finite Element Method (FEM) for equations of Electrostatic/Magnetostatic in 3D
- Eddy current model in 3D, variational formulation in H(curl, Ω)
- Finite Element Method (FEM) for Maxwell equations (Nédélec-Element)
- Analysis of the Helmholtz equation (Fredholm theory) for time harmonic wave propagation
- Analysis of time harmonic Maxwell equations in H(curl, Ω)
- Exact sequence of finite elements (DeRahm-diagram)
- Numerical analysis of finite element method for time harmonic Maxwell equations
- P. Monk, "Finite Element Methods for Maxwell's Equations", Clarendon Press, 2003.
- A. Alonso Rodriguez, A. Valli, "Eddy Current Approximation of Maxwell Equations", Springer, 2014.
Students at bachelor, master level or diploma students in mathematics (incl. Techno-, Wirtschaftsmathematik and Scientific Computing), as well as doctoral students (incl. BMS). Students in physics and engineering disciplines with interest in a theoretical base of FEM are welcome.
Analysis I-II, Linear Algebra, (Introduction into) Numerical Mathematics, Basic knowledge of differential equations.
Helpful: Numerical method for Partial Differential Equations, Numerical Mathematics II for Engineers