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Volume 10, Issue 1
Stability and Dispersion Analysis of the Staggered Discontinuous Galerkin Method for Wave Propagation

Hiu Ning Chan, Gary Cohen & Eric T. Chung

Int. J. Numer. Anal. Mod., 10 (2013), pp. 233-256.

Published online: 2013-10

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  • 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.

  • Keywords

CFL condition, dispersion analysis, dispersion relation, wave propagation, staggered discontinuous Galerkin method.

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-10-233, author = {Hiu Ning Chan, Gary Cohen and Eric T. Chung}, title = {Stability and Dispersion Analysis of the Staggered Discontinuous Galerkin Method for Wave Propagation}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2013}, volume = {10}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/567.html} }
TY - JOUR T1 - Stability and Dispersion Analysis of the Staggered Discontinuous Galerkin Method for Wave Propagation AU - Hiu Ning Chan, Gary Cohen & Eric T. Chung JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 233 EP - 256 PY - 2013 DA - 2013/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/567.html KW - CFL condition, dispersion analysis, dispersion relation, wave propagation, staggered discontinuous Galerkin method. AB -

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.

Hiu Ning Chan, Gary Cohen and Eric T. Chung. (2013). Stability and Dispersion Analysis of the Staggered Discontinuous Galerkin Method for Wave Propagation. International Journal of Numerical Analysis and Modeling. 10 (1). 233-256. doi:
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