APPLICATION OF GENERALIZED GAUSS-RADAU PROJECTIONS FOR THE LOCAL DISCONTINUOUS GALERKIN METHOD FOR LINEAR CONVECTION-DIFFUSION EQUATIONS

被引:65
作者
Cheng, Yao [1 ]
Meng, Xiong [2 ]
Zhang, Qiang [1 ]
机构
[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
[2] Harbin Inst Technol, Dept Math, Harbin 150001, Longjiang Provi, Peoples R China
关键词
Local discontinuous Galerkin method; convection-diffusion equation; error estimates; generalized Gauss-Radau projection; FINITE-ELEMENT-METHOD; CONSERVATION-LAWS; SUPERCONVERGENCE;
D O I
10.1090/mcom/3141
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we consider the local discontinuous Galerkin method based on the generalized alternating numerical fluxes for solving the linear convection-diffusion equations in one dimension and two dimensions. As an application of generalized Gauss-Radau projections, we get rid of the dual argument and obtain directly the optimal L-2-norm error estimate in a uniform framework. The sharpness of the theoretical results is demonstrated by numerical experiments.
引用
收藏
页码:1233 / 1267
页数:35
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