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Convergence of a Discontinuous Galerkin scheme for the mixed time domain Maxwell's equations in dispersive media.

Abstract : This study is concerned with the solution of the time domain Maxwell's equations in a dispersive propagation media by a Discontinuous Galerkin Time Domain (DGTD) method. The Debye model is used to describe the dispersive behaviour of the media. The resulting system of equations is solved using a centered flux discontinuous Galerkin formulation for the discretization in space and a second order leap-frog scheme for the integration in time. The numerical treatment of the dispersive model relies on an Auxiliary Differential Equation (ADE) approach similarly to what is adopted in the Finite Difference Time Domain (FDTD) method. Stability estimates are derived through energy estimations and the convergence is proved for both the semi-discrete and the fully discrete case.
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https://hal.inria.fr/inria-00597374
Contributor : Claire Scheid <>
Submitted on : Tuesday, May 31, 2011 - 4:45:50 PM
Last modification on : Monday, October 12, 2020 - 2:28:04 PM
Long-term archiving on: : Thursday, September 1, 2011 - 2:31:31 AM

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  • HAL Id : inria-00597374, version 1

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Claire Scheid, Stephane Lanteri. Convergence of a Discontinuous Galerkin scheme for the mixed time domain Maxwell's equations in dispersive media.. [Research Report] RR-7634, INRIA. 2011. ⟨inria-00597374⟩

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