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Méthode de Galerkin Discontinue : Cas de l'analyse isogéométrique

Abstract : The objective of Isogeometric Analysis is to address the design and analysis with exactly the same geometric patterns. For this, the Lagrange polynomials usually used in interpolation are replaced by B-Splines functions. In this context, we present in this work a new Discontinuous Galerkin (DG) method applied to the numerical solution of hyperbolic equations. The method is based on the choice of a local Bernstein basis and Gauss-Legendre formulas to approximate the different integrals. We use a Lax-Friedrichs scheme to calculate the numerical flux.
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https://hal.inria.fr/hal-01589293
Contributor : Régis Duvigneau <>
Submitted on : Monday, September 18, 2017 - 2:14:46 PM
Last modification on : Thursday, May 20, 2021 - 9:12:01 AM

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  • HAL Id : hal-01589293, version 1

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Asma Gdhami, Régis Duvigneau, M Moakher. Méthode de Galerkin Discontinue : Cas de l'analyse isogéométrique. TAM-TAM 2017 - Tendances dans les Applications Mathématiques en Tunisie, Algérie et Maroc, May 2017, Hammamet, Tunisie. ⟨hal-01589293⟩

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