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等参双线性元的ZZ超收敛理论分析
引用本文:毕春加,杜辰薇.等参双线性元的ZZ超收敛理论分析[J].复旦学报(自然科学版),2000,39(1):68-72.
作者姓名:毕春加  杜辰薇
作者单位:数学研究所
基金项目:中国科学院资助项目,the Doctoral Programme Foundation of Institution of High Education of China,19771021,,,
摘    要:分析了ZZ超收敛方法,从理论上证明了用等参双线性元求解两阶偏微分方程时,有限元解具有ZZ超收敛性。

关 键 词:ZZ超收敛  等参双线性元  误差估计  有限元

Theoretical Analysis of ZZ Superconvergent Patch Recovery for the Isoparametric Bilinear Finite Element
BI Chun-jia,DU Chen-wei.Theoretical Analysis of ZZ Superconvergent Patch Recovery for the Isoparametric Bilinear Finite Element[J].Journal of Fudan University(Natural Science),2000,39(1):68-72.
Authors:BI Chun-jia  DU Chen-wei
Institution:BI Chun-jia ,DU Chen-wei (Institute of Mathematics)
Abstract:The so-called ZZ superconvergent patch recovery methods are analysed,and the superconvergence results are derived for the isoparametric bilinear finite element which is used to solve the second-order partial differential equations.
Keywords:ZZ superconvergent patch recovery  isoparametric bilinear element  error estimate
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