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粘弹性方程ACM有限元的超收敛分析和外推(英文) 被引量:13

Superconvergence Analysis and Extrapolation of ACM Finite Element Methods for Viscoelasticity Equation
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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
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