Stability and Dispersion Analysis of the Staggered Discontinuous Galerkin Method for Wave Propagation
Year: 2013
International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 1 : pp. 233–256
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 block-diagonal 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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-IJNAM-567
International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 1 : pp. 233–256
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: CFL condition dispersion analysis dispersion relation wave propagation staggered discontinuous Galerkin method.