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Universität Augsburg
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Universität Augsburg
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Frau Barbara Verfürth
Universität Münster
spricht am
Montag, 29. Januar 2018
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16 Uhr s.t.
im
Raum 1007 (L1)
über das Thema:
| Abstract: |
| The propagation of electromagnetic fields in periodic materials is considered with growing interest as these media can show unusual behavior, such as frequency band gaps and even negative refraction. To produce such effects, the materials possess some (periodic) sub-wavelength fine-scale structures with a high contrast between at least two composites. The simulation of such problems is quite challenging due to the general wave nature of the problem and the additional fine-scale oscillations from the material inhomogeneities. At the example of the Helmholtz and the time-harmonic Maxwell's equations, we show that the high contrast leads to an effective permeability with negative real part at certain frequencies in the homogenization limit. A (fine-scale) corrector is needed for a good approximation in $L^2$ and it can be efficiently computed as the solution of local cell problems. A priori error analysis and numerical examples for the corresponding numerical multiscale method are presented. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Daniel Peterseim |