摘要
利用不完全双二次元Q2-和一阶BDFM元,对拟线性双相滞热传导方程构造了一个新的H1-Galerkin混合元格式.在不借助投影算子的条件下,直接利用单元插值算子的特殊性质,对于半离散和全离散格式,分别给出了原始变量在H1-模及流量在H(div)-模下的具有O(h3)及O(h3+(△t)2)阶的超逼近估计.
An H1-Galerkin mixed finite element method for semi-linear dual phase lagging heat conduction equations is constructed by incomplete biquadratic element Q2-and first order BDFM element,Based on special characters of the interpolation operators of the elements instead of the projection operator ones.the superclose estimates of order O(h3)and O(h3+(△t)2)are derived for the primitive variable in H1-norm and the flux in H(div)-norm are obtained under semi-discrete scheme and a fully-discrete schemes.
作者
马戈
董丽娇
胡双年
MA Ge;DONG Li-jiao;HU Shuang-nian(School of Mathematics and Statistics,Nanyang Institute of Technology,Nanyang 473004,China;Basic Department,Luohe Vocational Technology College,Luohe 462000,China)
出处
《数学的实践与认识》
北大核心
2019年第17期251-258,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(11671369)
河南省教育厅科研基金项目(16A110020)
