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Analysis of an embedded discontinuous Galerkin method with implicit-explicit time-marching for convection-diffusion problems

Guosheng Fu Brown University Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25005

International Journal of Numerical Analysis and Modeling, 14, 477-499, 2017
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.
embedded discontinuous Galerkin method, upwinding discontinuous Galerkin method, implicit-explicit Runge-Kutta time-marching scheme, convection-diffusion equation, stability, error estimate, energy method
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@inproceedings{guosheng2017analysis,
  title={Analysis of an embedded discontinuous Galerkin method with implicit-explicit time-marching for convection-diffusion problems},
  author={Guosheng Fu, and Chi-Wang Shu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180416092710353946040},
  booktitle={International Journal of Numerical Analysis and Modeling},
  volume={14},
  pages={477-499},
  year={2017},
}
Guosheng Fu, and Chi-Wang Shu. Analysis of an embedded discontinuous Galerkin method with implicit-explicit time-marching for convection-diffusion problems. 2017. Vol. 14. In International Journal of Numerical Analysis and Modeling. pp.477-499. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180416092710353946040.
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