@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} }