摘要
本文通过积分恒等式技巧和插值后处理技术,得到了粘弹性方程ACM有限元的超逼近和超收敛性质.进一步利用Bramble-Hilbert引理构造了一个合适的外推格式,得到了比以往文献高一阶的外推结果.
In this paper,by the intergral identity and intergpolated post processing techniques,the superclose and the global superconvergence properties of ACM element for viscoelasticity equation are derived.Moreover,through constructing a suitable extrapolation scheme with Bramble-Hilbert lemma,one order higher accuracy of extrapolation result than that of the previous literature is derived.
出处
《应用数学》
CSCD
北大核心
2009年第3期534-541,共8页
Mathematica Applicata
基金
Supported by NSF of China(10671184)
关键词
粘弹性方程
ACM有限元
超收敛
外推
Viscoelasticity Equation
ACM element
Superconvergence
Extrapolation