Title :
DGTD method on hybrid meshes for time domain electromagnetics
Author :
Durochat, Clément ; Lanteri, Stéphane
Author_Institution :
NACHOS Project-Team, INRIA Sophia Antipolis-Mediterranee Res. Center, Sophia Antipolis, France
Abstract :
This paper is concerned with a preliminary investigation of a Discontinuous Galerkin Time Domain (DGTD) method formulated on hybrid quadrangular-triangular meshes for the solution of the two-dimensional Maxwell equations. The general objective of this study is to enhance the flexibility and the efficiency of DGTD methods for large-scale time domain electromagnetic wave propagation problems with regards to the discretization process of complex propagation scenes and the work discussed here is a first step in this direction. Within each mesh element, the electromagnetic field components are approximated by a high order nodal polynomial and time integration of the associated semi-discrete equations is achieved by a second order Leap-Frog scheme. We study the stability of the resulting DGTD method and present numerical results aiming at the validation of the method on a model problem.
Keywords :
Galerkin method; Maxwell equations; electromagnetic wave propagation; time-domain analysis; DGTD method; discontinuous Galerkin time domain method; electromagnetic field components; electromagnetic wave propagation problems; high-order nodal polynomial; hybrid meshes; mesh element; quadrangular-triangular meshes; second-order leap-frog scheme; semidiscrete equations; time domain electromagnetics; time integration; two-dimensional Maxwell equations; Approximation methods; Maxwell equations; Moment methods; Stability analysis; Three dimensional displays; Time domain analysis;
Conference_Titel :
Electromagnetic Theory (EMTS), 2010 URSI International Symposium on
Conference_Location :
Berlin
Print_ISBN :
978-1-4244-5155-5
Electronic_ISBN :
978-1-4244-5154-8
DOI :
10.1109/URSI-EMTS.2010.5637391