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.