摘要
对热传导方程提出了一个新的H^1-Galerkin非协调混合有限元格式,其逼近空间不需满足LBB相容性条件,且在不引进传统的Rutz投影的情况下,得到了与以往协调有限元方法相同的L^2-模和H^1-模的误差估计.
A new H1-Galerkin nonconforming mixed finite element scheme of heat equations is proposed, in which the approximating spaces needn＇t satisfy LBB consistency condition. At the same time, without using the traditional Ritz projection, the error estimates of L2- norm and Hi-norm are obtained, which are the same as those of the conforming finite element methods in the previous studies.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第13期259-264,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(10971203)
河南省教育厅自然科学研究计划项目(2010B110017
14B110025)
洛阳理工学院自然科学研究项目(2008YZB14
2011YZ1106)
