摘要
In this paper, we discuss a generalized finite element interpolation problem and obtain the asymptotic expansion of the interpolation function. Based on these results, the error asymptotic expansion and superconvergence result of the generalized finite element approximation are derived. Finallym using the Superconvergent Patch Recovery Technique (SPR) proposed by Zienkiewicz & Zhu, we get the superconvergent recovery approximation and the posteriori error estimates to the flux. The numerical test convinced our analysis.
In this paper, we discuss a generalized finite element interpolation problem and obtain the asymptotic expansion of the interpolation function. Based on these results, the error asymptotic expansion and superconvergence result of the generalized finite element approximation are derived. Finallym using the Superconvergent Patch Recovery Technique (SPR) proposed by Zienkiewicz & Zhu, we get the superconvergent recovery approximation and the posteriori error estimates to the flux. The numerical test convinced our analysis.
出处
《计算数学》
CSCD
北大核心
2000年第1期113-120,共8页
Mathematica Numerica Sinica
基金
国家973"大规模科学计算研究"基金
关键词
广义有限元
后验估计
渐近展开式
广义插值函数
Rapidly oscillating coefficients, Generalized finite element, A Posteriori error estimate, Asymptotic expansion
