【摘要】 讨论了非对称不定问题的类Wilson有限元逼近.利用该元的特殊性并借助于双线性元已有的高精度分析结果和平均值技巧,得到了O(h~2)阶的超逼近和整体超收敛结果,同时给出了新的渐进展开式,导出了O(h~3)阶的外推解,这比传统的误差估计高两阶.更多还原

【Abstract】 In this paper,the quasi-Wilson finite element method is discussed to approximate the nonsymmetric and indefinite problem.Applying the characteristics of this element,the known high accuracy analysis results of bilinear element and averaging technique,the superclose property and global.superconvergence result with O(h~2) order are obtained.Furthermore,a new asymptotic error expansion is deduced and the extrapolation solution with O(h~3) order is derived which is two order higher than the traditional error estimate.更多还原