Title :
Recent Achievements on a DGTD Method for Time-Domain Electromagnetics
Author :
Fahs, Hassan ; Fezoui, Loula ; Lanteri, Stéphane ; Dolean, Victorita ; Rapetti, Francesca
Author_Institution :
INRIA Sophia Antipolis-Mediterranee, Sophia Antipolis, France
Abstract :
We report on results concerning a discontinuous Galerkin time domain (DGTD) method for the solution of Maxwell equations. This DGTD method is formulated on unstructured simplicial meshes (triangles in 2-D and tetrahedra in 3-D). Within each mesh element, the electromagnetic field components are approximated by an arbitrarily high order nodal polynomial while, in the original formulation of the method, time integration is achieved by a second order Leap-Frog scheme. Here, we discuss about several recent developments aiming at improving the accuracy and the computational efficiency of this DGTD method in view of the simulation of problems involving general domains and heterogeneous media.
Keywords :
Galerkin method; Maxwell equations; electromagnetic field theory; mesh generation; time-domain analysis; Maxwell equations; discontinuous Galerkin time domain method; electromagnetic field components; heterogeneous media; leap-frog scheme; mesh element; time integration; time-domain electromagnetics; unstructured simplicial meshes; Computational efficiency; Electromagnetics; Finite element methods; Magnetic fields; Maxwell equations; Moment methods; Nonhomogeneous media; Permittivity; Polynomials; Time domain analysis; Discontinuous Galerkin method; high order method; hybrid explicit-implicit time stepping; nonconforming discretization; time-domain Maxwell equations;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2043342
