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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@Article{IJNAM-10-233, author = {}, 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 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 & Eric T. Chung. (2019). 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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