Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional
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convection-diffusion problems
冬笋炒肉片期刊名称： Esaim Mathematical Modelling & Numerical Analysis
作者： Haijin Wang,Shiping Wang,Qiang Zhang,Chi-Wang Shu什么是金融危机
作者机构： 3Division of Applied Mathematics, Brown University, Providence,
唐人街神探2RI02912, USA.隶书碑帖
玛丽鱼年份： 2016年
期号： 第4期
关键词： error estimate;stability;convection-diffusion;implicit-explicit
scheme;Local discontinuous Galerkin method
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摘要：The main purpo of this paper is to analyze the stability and error estimates of the local discontinuous Galerkin (LDG) methods coupled with implicit-explicit (IMEX) time discretization schemes, for solving multi-dimensional convection-diffusion equations with nonlinear convection. By establishing the important relationship between the gradient and the interface jump of the numerical solution with the independent numerical solution of the gradient in the LDG method, on both rectangular and triangular elements, we can obtain the same stability results as in the one-dimensional ca [H.J. Wang, C.-W. Shu and Q. Zhang, SIAM J. Numer. Anal. 53 (2015) 206–227; H.J. Wang, C.-W. Shu and Q. Zhang, Appl. Math. Comput. 272 (2015) 237–258], i.e., the IMEX LDG schemes are unconditionally stable for the
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