A-Posteriori Error Estimation for the Legendre Spectral Galerkin Method in One-Dimension

被引：0
|
作者：
Lijun Yi~1 and Benqi Guo~(1
机构：
来源：
Numerical Mathematics:Theory,Methods and Applications | 2010年 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Legendre spectral Galerkin method; two-point boundary value problem; superconvergence; a-posteriori error estimation;
D O I：
暂无
中图分类号：
O241.5 [数值逼近];
学科分类号：
070102 ;
摘要：
In this paper,a-posteriori error estimators are proposed for the Legendre spectral Galerkin method for two-point boundary value problems.The key idea is to postprocess the Galerkin approximation,and the analysis shows that the postprocess improves the order of convergence.Consequently,we obtain asymptotically exact aposteriori error estimators based on the postprocessing results.Numerical examples are included to illustrate the theoretical analysis.
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页码：40 / 52
页数：13
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