摘要
利用积分恒等式技巧和插值后处理技术,得到了粘弹性方程Hermite型有限元的超逼近和超收敛性质.同时利用Bramble-Hilbert引理,构造了一个新的合适的外推格式,得到了与以往文献相同阶的外推结果.
Based on the integral identity and interpolated post processing techniques, the superclose property and the global superconvergence of a Hermite-type element for viscoelasticity equationare are derived. At the same time, by virtue of the Bramble-Hilbert lemma, a new and suitable extrapolation is constructed and the same order accuracy of extrapolation result with that of the previous literature is also obtained.
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第3期148-151,共4页
Journal of Henan Normal University(Natural Science Edition)
基金
国家自然科学基金(10671184)
关键词
粘弹性方程
Hermite型有限元
超收敛
外推
viscoelasticity equation
Hermite-type element
superclose property
superconvergence
extrapolation
