Superconvergence of Discontinuous Galerkin Methods for Convection-Diffusion Problems

被引：0
|
作者：
Zuozheng Zhang
Ziqing Xie
Zhimin Zhang
机构：
[1] Hunan Normal University,College of Mathematics and Computer Science
来源：
Journal of Scientific Computing | 2009年 / 41卷
关键词：
Discontinuous Galerkin method; Convection-diffusion problems; Superconvergence; Zeros of the Radau polynomial; Zeros of the Legendre polynomial;
D O I：
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学科分类号：
摘要：
Some discontinuous Galerkin methods for the linear convection-diffusion equation −εu″+bu′=f are studied. Based on superconvergence properties of numerical fluxes at element nodes established in some earlier works, e.g., Celiker and Cockburn in Math. Comput. 76(257), 67–96, 2007, we identify superconvergence points for the approximations of u or q=u′. Our results are twofold:
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页码：70 / 93
页数：23
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