Analysis of an Embedded Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Convection-Diffusion Problems

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Volume 14, Issue 4-5

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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@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 = {

}, 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, upwinding discontinuous Galerkin method, implicit-explicit Runge-Kutta time-marching scheme, convection-diffusion equation, stability, error estimate, energy method. AB -

Guosheng Fu and Chi-Wang Shu. (2017). 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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