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- 2016
拟线性黏弹性方程一个新的H 1-Galerkin混合有限元分析
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Abstract:
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。
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
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