Recent achievements on a DGTD method for time-domain electromagnetics

Hassan Fahs; Loula Fezoui; Stéphane Lanteri; Victorita Dolean; Francesca Rapetti

doi:10.1109/TMAG.2010.2043342

Recent achievements on a DGTD method for time-domain electromagnetics

Hassan Fahs, Loula Fezoui, Stéphane Lanteri^*, Victorita Dolean, Francesca Rapetti

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	3061-3064
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	46
Issue number	8
Early online date	19 Jul 2010
DOIs	https://doi.org/10.1109/TMAG.2010.2043342
Publication status	Published - 31 Aug 2010

Keywords

discontinuous Galerkin method
high order method
hybrid explicit-implicit time stepping
nonconforming discretization
time-domain Maxwell equations

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10.1109/TMAG.2010.2043342

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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.",

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AU - Fezoui, Loula

AU - Lanteri, Stéphane

AU - Dolean, Victorita

AU - Rapetti, Francesca

PY - 2010/8/31

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AB - 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.

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Recent achievements on a DGTD method for time-domain electromagnetics

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