Analysis Seminar - 9/4/2014

Wednesday, 9 April 2014, 2:00 p.m.

Lecturer: Sílvia Barbeiro, CMUC

Title: "Numerical solution of time-dependent Maxwell's equations for modeling scattered electromagnetic wave's propagation".

Local: Room 1.5, Edifício VII
Faculdade de Ciências e Tecnologia, Quinta da Torre, Caparica


Abstract: In this talk we discuss the numerical discretization of the time-dependent Maxwell’s equations. We have chosen to use the nodal discontinuous Galerkin method for the integration in space due to the fact that it is a high-order accurate method that can easily handle complex geometries. Moreover, local refinement strategies can be incorporated due to the ability of the method to deal with irregular meshes with hanging nodes and local spaces of different orders. We focus on deriving convergent estimates of fully discrete schemes. We present some numerical examples in the context of modeling scattered electromagnetic wave’s propagation through human eye’s structures.