Thursday, May 18, 2017 - 2:50pm - 3:30pm
Dionisios Margetis (University of Maryland)
Surface-plasmon polaritons (SPPs) are evanescent electromagnetic waves of relatively short wavelength that may be excited on conducting, 2D materials. These waves are macroscopic manifestations of the coupling between the incident radiation and the electron plasma. In this talk, I will discuss recent analytical progress in understanding the effect that geometry, e.g., the presence of sharp edges, may have on features of the SPP. In particular, I will describe how the curvature of the dielectric substrate can influence the SPP dispersion.
Thursday, June 29, 2017 - 11:20am - 12:10pm
Jaime Peraire (Massachusetts Institute of Technology)
We present an overview of our work on Hybridized Discontinuous Galerkin (HDG) method for a variety of steady
and time dependent conservation laws. The essential ingredients are a local Galerkin projection of the
underlying PDEs at the element level onto spaces of polynomials of degree k to parametrize the numerical
solution in terms of the numerical trace; a judicious choice of the numerical flux to provide stability and
consistency; and a global jump condition that enforces the continuity of the numerical flux to arrive at a
Tuesday, November 2, 2010 - 10:45am - 11:30am
Daniele Boffi (Università di Pavia)
Maxwell's eigenvalue problem can be seen as a particular case of the
Hodge-Laplace eigenvalue problem in the framework of exterior calculus.
In this context we present two mixed formulations that are equivalent
to the problem under consideration and their numerical approximation.
It turns out that the natural conditions for the good approximation of
the eigensolutions of the mixed formulations are equivalent to a
well-known discrete compactness property that has been firstly used by
Kikuchi for the analysis of edge finite elements.
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