%0 Journal Article
%T 拟线性黏弹性方程一个新的H 1-Galerkin混合有限元分析<br>New H 1-Galerkin mixed finite element analysis for quasi-linear viscoelasticity equation
%A 刁群
%A 石东洋&lt
%A br&gt
%A DIAO Qun
%A SHI Dong-yang
%J 山东大学学报（理学版）
%D 2016
%R 10.6040/j.issn.1671-9352.0.2015.154
%X 摘要： 利用不完全双二次元Q-2和一阶BDFM元, 对拟线性黏弹性方程构造了一个新的H 1-Galerkin混合元模式。通过Bramble-Hilbert引理, 证明了单元所对应的插值算子一个新的高精度结果。 进一步地, 在半离散和一个二阶全离散格式下, 分别导出了原始变量u在H 1-模和中间变量(→overp)在 H(div)-模意义下的超逼近性质。<br>Abstract: A new H 1-Galerkin mixed finite element pattern for quasi-linear viscoelasticity equation is constructed using incomplete biquadratic element Q-2 and first order BDFM element. Through Bramble-Hilbert lemma, a newhigh precision results of interpolation operators corresponding to unit are proved. Further, the superclose properties for the primitive variables u in H 1-norm and the intermediate variable (→overp) in H(div)-norm are obtained respectively in semi-discrete and fully discrete schemes
%K 拟线性黏弹性方程
%K Bramble-Hilbert引理
%K 超逼近
%K &lt
%K i&gt
%K H&lt
%K /i&gt
%K &lt
%K sup&gt
%K 1&lt
%K /sup&gt
%K -Galerkin混合有限元方法
%K 半离散和全离散格式
%K &lt
%K br&gt
%K quasi-linear viscoelasticity equation
%K &lt
%K i&gt
%K H&lt
%K /i&gt
%K &lt
%K sup&gt
%K 1&lt
%K /sup&gt
%K -Galerkin mixed finite element method
%K superclose
%K semi-discrete and fully discrete schemes
%K Bramble-Hilbert lemma
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2015.154