Pseudospectral Methods for Electromagnetic Wave Computations
Abstract:
In this talk we present a computational framework for electromagnetic wave
simulations. Our approach starts by conducting an energy estimate for the
Maxwell equations. The purpose of this analysis is to identify suitable
characteristic boundary operator such that the governing equations have a
bounded energy. We then illustrate the relationships between the boundary
operators and the common physical boundary conditions. In the second part
of talk we will employ these theoretical results and construct a stable
pseudospectral scheme that has a discrete energy estimate mimicking the
continuous one shown in the analysis at the PDE level. Numerical
convergence results will be provided to illustrate the performances of the
scheme. At last we give some concluding remarks.
Tea Time: 3:30PM, R707