摘要
将非协调元应用于描述细菌传播的反应扩散方程组的初边值问题.借助单元的一些特性和非协调误差估计技巧,分别在半离散和全离散有限元格式下,研究了其数值解与精确解的误差估计,得到了最优的误差估计以及超逼近结果.
Nonconforming finite element method is considered for a system of reaction-diffusion equations of bacterial infection with initial and boundary conditions.Based on some special properties of the element and approaches for estimating the consistency error, the error estimates between numerical solutions and exact solutions are studied on the semi-discrete and the fully discrete finite element schemes,respectively.The optimal error estimates and superclose properties are derived.
出处
《应用数学学报》
CSCD
北大核心
2011年第3期428-439,共12页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(10671184
10971203)
南省教育厅(2009B110013
2010B110017)资助项目
关键词
非协调元
细菌方程
半离散
全离散
最优误差估计
nonconforming element
bacterial model
semi-discrete
fully discrete
optimal error estimate
