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 - <p style="text-align: justify;">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&#39;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.</p>