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Spatial and spectral superconvergence of discontinuous Galerkin method for hyperbolic problems

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Marchandise, Emilie [UCL] Chevaugeon, Nicolas [UCL] Remacle, Jean-François [UCL]

In this paper, we analyze the spatial and spectral superconvergence properties of one-dimensional hyperbolic conservation law by a discontinuous Galerkin (DG) method. The analyses combine classical mathematical arguments with MATLAB experiments. Some properties of the DG schemes are discovered using discrete Fourier analyses: superconvergence of the numerical wave numbers, Radau structure of the X spatial error. (C) 2007 Elsevier B.V. All rights reserved.

Document type Communication à un colloque (Conference Paper) – Présentation orale avec comité de sélection
Access type Accès restreint
Publication date 2008
Language Anglais
Conference "3rd International Conference on Advanced Computational Methods in Engineering", Ghent(Belgium) (May 30-jun 02, 2005)
Journal information "Journal of Computational and Applied Mathematics" - Vol. 215, no. 2, p. 484-494 (2008)
Peer reviewed yes
issn 0377-0427
Publisher Elsevier Science Bv (Amsterdam)
Affiliation UCL - FSA/AUCE - Département d'architecture, d'urbanisme et de génie civil environnemental
Keywords Discontinuous Galerkin Method ; Superconvergence ; Hyperbolic Systems
Links
Bibliographic reference Marchandise, Emilie ; Chevaugeon, Nicolas ; Remacle, Jean-François. Spatial and spectral superconvergence of discontinuous Galerkin method for hyperbolic problems.3rd International Conference on Advanced Computational Methods in Engineering (Ghent(Belgium), May 30-jun 02, 2005). In: Journal of Computational and Applied Mathematics, Vol. 215, no. 2, p. 484-494 (2008)
Permanent URL http://hdl.handle.net/2078.1/59277