Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Numerische Mathematik

 

Dr. Joscha Gedicke
Universität Wien

 
spricht am
 
Mittwoch, 7. Juni 2017
 
um
 
15:45 Uhr
 
im
 
Raum 2006 (L1)
 
über das Thema:
 

»An adaptive finite element method for two-dimensional Maxwell's equations«

Abstract:
We extend the Hodge decomposition approach for the cavity problem of two-dimensional time harmonic Maxwell's equations to include the impedance boundary condition, with anisotropic electric permittivity and sign changing magnetic permeability. We derive error estimates for a P_1 finite element method based on the Hodge decomposition approach and develop a residual type a posteriori error estimator. We show that adaptive mesh refinement leads empirically to smaller errors than uniform mesh refinement for numerical experiments that involve metamaterials and electromagnetic cloaking. The well-posedness of the cavity problem when both electric permittivity and magnetic permeability can change sign is also discussed and verified for the numerical approximation of a flat lens experiment.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. D. Peterseim



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