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Numerical methods for Maxwell's equations (Summer Semester 2011)

We focus on theory and numerics of Maxwell equations for the approximation of photonic bandstructures or waveguides.

Requirements: Lectures in Partial Differential Equations and Numerical Methods of Partial Differential Equations.

The lecture is part of the education of the Schwerpunkt Partielle Differentialgleichungen of the Departement and the Graduiertenkolleg Analysis, Simulation und Design nanotechnologischer Prozesse.

Lecture: Thursday 14:00-15:30 1C-02
Lecturer Prof. Dr. Willy Dörfler
Office hours: Monday, 14:15-15:15 or by appointment.
Room 3.013 Kollegiengebäude Mathematik (20.30)
Email: willy.doerfler at kit.edu

1. The Maxwell system, aspects of modelling
2. Boundary and interface conditions
3. Analytical tools
4. The curl curl source problem
5. The curl curl eigenvalue problem
6. Finite element methods for tha Maxwell equations
7. Interpolation estimates
8. Bandstructure computations

o R. Hiptmair. Finite elements in computational electromagnetism. Acta Numerica, 11:237–339, 2002.
o P. Monk. Finite Element Methods for Maxwell’s Equations. Clarendon Press, Oxford, 2003.