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Stability and dispersion analysis of the staggered discontinuous Galerkin method for wave propagation

Hiu Ning Chang 1 Eric Chung 1 Gary Cohen 2 
1 Department of Mathematics [CUHK]
2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : Staggered discontinuous Galerkin methods have been developed recently and are adopted successfully to many problems such as wave propagation, elliptic equation, convection-diffusion equation and the Maxwell’s equations. For wave propagation, the method is proved to have the desirable properties of energy conservation, optimal order of convergence and blockdiagonal mass matrices. In this paper, we perform an analysis for the dispersion error and the CFL constant. Our results show that the staggered method provides a smaller dispersion error compared with classical finite element method as well as non-staggered discontinuous Galerkin methods.
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https://hal.inria.fr/hal-00937683
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Submitted on : Tuesday, January 28, 2014 - 5:06:27 PM
Last modification on : Wednesday, May 11, 2022 - 12:06:04 PM

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  • HAL Id : hal-00937683, version 1

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Hiu Ning Chang, Eric Chung, Gary Cohen. Stability and dispersion analysis of the staggered discontinuous Galerkin method for wave propagation. International Journal of Numerical Analysis and Modeling, Institute for Scientific Computing and Information, 2013, 10 (1), pp.233--256. ⟨hal-00937683⟩

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