Volume 14, Issue 4-5
Analysis of an Embedded Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Convection-Diffusion Problems.

Guosheng Fu & Chi-Wang Shu

Int. J. Numer. Anal. Mod., 14 (2017), pp. 477-499

Published online: 2017-08

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  • Abstract

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.

  • Keywords

Embedded discontinuous Galerkin method upwinding discontinuous Galerkin method implicit-explicit Runge-Kutta time-marching scheme convection-diffusion equation stability error estimate energy method

  • AMS Subject Headings

65M12 65M15 65M60

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-14-477, author = {Guosheng Fu and Chi-Wang Shu}, title = {Analysis of an Embedded Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Convection-Diffusion Problems.}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2017}, volume = {14}, number = {4-5}, pages = {477--499}, abstract = {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.}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/10045.html} }
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 KW - upwinding discontinuous Galerkin method KW - implicit-explicit Runge-Kutta time-marching scheme KW - convection-diffusion equation KW - stability KW - error estimate KW - energy method AB - 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.
Guosheng Fu & Chi-Wang Shu. (1970). Analysis of an Embedded Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Convection-Diffusion Problems.. International Journal of Numerical Analysis and Modeling. 14 (4-5). 477-499. doi:
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