High-order time integration Leap-Frog schemes combined with a discontinuous Galerkin method for the solution of the Maxwell equations - Inria - Institut national de recherche en sciences et technologies du numérique
Rapport (Rapport De Recherche) Année : 2009

High-order time integration Leap-Frog schemes combined with a discontinuous Galerkin method for the solution of the Maxwell equations

Résumé

In this report, after pedagogical mathematical insight into basic notions of numerical analysis for differential equations, more specific Discontinuous Galerkin (DG) method is introduced. Afterwards, the DG method is combined with a fourth-order staggered Leap-Frog (LF4) scheme to be applied to the solution of the Maxwell equations wave-propagation problem. Stability analysis of the resulting scheme is performed and some peculiarities related with the choice of basis functions in the DG method are stressed.

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Modélisation et simulation
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Soumis le : vendredi 16 octobre 2009-13:30:59

Dernière modification le : lundi 11 mars 2024-15:14:03

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inria-00424560 , version 1 (16-10-2009)

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  • HAL Id : inria-00424560 , version 1

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Dmitry V. Ponomarev. High-order time integration Leap-Frog schemes combined with a discontinuous Galerkin method for the solution of the Maxwell equations. [Research Report] RR-7067, INRIA. 2009, pp.91. ⟨inria-00424560⟩

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