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International Conference: 2004 - Dynamical Systems and Applications
July 5-10, 2004

Antalya, Turkey

Organizers
Akca Haydar, Basem S. Attili, Boucherif Abdelkader, Cho Yeol Je, Covachev Valery, Gyori Istvan, Maksimov Vyacheslav, Stavroulakis Ioannis P.

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Numerical methods for system of Maxwell’s equations with curvilinear grids
by
Kumud Singh Altmayer
University of Arkansas, Pine Bluff, USA
Coauthors: Michčle Vanmaele (Ghent University, Belgium)

This talk deals with the study of Maxwell's equations for a non-homogeneous medium with initial and mixed boundary conditions. We will study numerical solutions of the time dependent equations in vector form for the electric field, the magnetic field and the current density. The problem is considered on a bounded domain in the three dimensional space with the boundary assumed to be Lipschitz-continuous. We apply two (more or less related) methods, namely a finite difference domain method and a finite volume method, to tackle curvilinear grids. We further study the convergence and stability of the obtained numerical solution and compare the two methods. AMS (MOS) subject classification:} 65N12, 65N30 and 74S05

Date received: January 7, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calu-51.