Electromagnetics - Modelling, Simulation, Control and Industrial Applications - Abstract
Stamm, Benjamin
This talk gives an overview of the certified Reduced Basis Method applied to parametrized PEC scattering problems. We give a mathematical background of the model reduction by the reduced basis method where an efficient input/output reduced order model is developed. More precisely, we consider the Electric Field Integral Equation (EFIE) under variation of a set of parameters consisting the wave-number, wave-direction and the polarization of the incident plane wave. In the framework of the input/output procedure, for any in parameter value (input) we are interested in the radar cross section (RCS, output). In addition, the reduced order model is trustable as we develop it a posteriori estimates to certify the error committed by the model order reduction for both the electric current and the RCS.