Einladung zu einem Vortrag von:
Prof. Dr. Daniele Boffi
Dipartimento di Matematica, Universita di Pavia
Dienstag, 16. September 2003
14:00 Uhr, T 857
Old and new results on the finite element approximation
of Maxwell eigenvalues
The analysis on the finite element approximation of Maxwell
eigenvalues (based on the construction of a Fortin operator with
suitable properties in order to guarantee the discrete
compactness) shows that the use of edge finite elements is the
natural choice to face the problem under consideration. In this
talk we recall the basic theory of eigenvalue approximation,
including the approximation of eigenvalues in mixed form. Then we
recall how the theory can be applied to the approximation of
Maxwell eigenvalues. Then, we present more recent results, showing
how the previous analysis extents to the simulation of photonic
crystals and, finally, we address the issue of the use of general
quadrilateral meshes and we describe a new finite element families
on quadrilaterals which satisfies the discrete compactness
property.
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