Richardson Extrapolation Method for Singularly Perturbed Convection-Diffusion Problems on Adaptively Generated Mesh

被引：0
|
作者：
Das, Pratibhamoy [1 ]
Natesan, Srinivasan [1 ]
机构：
[1] Indian Inst Technol Guwahati, Dept Math, Gauhati 781039, India
来源：
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2013年 / 90卷 / 06期
关键词：
Singularly perturbed problem; Layer-adapted mesh; Mesh equidistribution; Uniform convergence; Higher-order convergence; Extrapolation technique; SCHEME; SYSTEM;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Adaptive mesh generation has become a valuable tool for the improvements of accuracy and efficiency of numerical solutions over fixed number of meshes. This paper gives an interpretation of the concept of equidistribution for singularly perturbed problems to obtain higher-order accuracy. We have used the post-processing Richardson extrapolation technique to improve the accuracy of the parameter uniform computed solution, Obtained on a mesh which is adaptively generated by equidistributing a monitor function. Numerical examples demonstrate the high quality behavior of the computed solution.
引用
收藏
页码：463 / 485
页数：23
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