Asymptotics and numerical analysis for wave diffraction by thin wires
november, 2008
Publication type:
Conference without proceedings
Conference:
Seminaire du GMM a l'INSA de Toulouse
Abstract:
In this talk, we are interested in the study of the Holland method for taking into account perfectly conducting thin wires in the simulation of electromagnetic waves. This method provides a coupling scheme between a standard volumic method (FDTD,FEM,DG...etc) for electromagnetics and 1D wave equations on the wires. Holland's method involves a numerical parameter whose value is a priori unknown. In practice, one proceeds to a calibration based on empirical considerations for determining a suitable value of this parameter, because (to our knowledge) there does not exist any systematic manner for computing such a value.
We propose a mathematical study of Holland's method for 2D and 3D toy problems. Our approach is based on a combination between fictitious domain methods and asymptotic analysis. Besides error estimates, we give a theoretical expression for the calibration of Holland's parameter for our toy problems, and present numerical results.
We propose a mathematical study of Holland's method for 2D and 3D toy problems. Our approach is based on a combination between fictitious domain methods and asymptotic analysis. Besides error estimates, we give a theoretical expression for the calibration of Holland's parameter for our toy problems, and present numerical results.
BibTeX:
@conference{Cla-2008,
author={Xavier Claeys },
title={Asymptotics and numerical analysis for wave diffraction by
thin wires },
publisher={Seminaire du GMM a l'INSA de Toulouse },
year={2008 },
month={11},
}