TY - JOUR
T1 - Analysis of an Embedded Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Convection-Diffusion Problems
AU - Guosheng Fu & Chi-Wang Shu
JO - International Journal of Numerical Analysis and Modeling
VL - 4-5
SP - 477
EP - 499
PY - 2017
DA - 2017/08
SN - 14
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/10045.html
KW - Embedded discontinuous Galerkin method, upwinding discontinuous Galerkin method, implicit-explicit Runge-Kutta time-marching scheme, convection-diffusion equation, stability, error estimate, energy method.
AB - <p style="text-align: justify;">In this paper, we analyze implicit-explicit (IMEX) Runge-Kutta (RK) time discretization
methods for solving linear convection-diffusion equations. The diffusion operator is treated
implicitly via the embedded discontinuous Galerkin (EDG) method and the convection operator
explicitly via the upwinding discontinuous Galerkin method.</p>