Hybridized Discontinuous Galerkin Methods: Application to Plasmonics

Thursday, June 29, 2017 - 11:20am - 12:10pm
Keller 3-180
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
global weak formulation in terms of the numerical trace. We will also present the applications of the HDG method to Plasmonics.