摘要
本文对一类线性抛物型方程的混合有限元格式证明了有限元对未知函数、伴随向全的拟最优最大模逼近精度；对最低次混合有限元解证明了对未知函数、伴随向量的最优最大模逼近估计。
This paper discusses mixed finite element methods for a kind of linear parabolic equationsand proves the optimal maximum norm estimates for unknown function and the quasi-optimal meximumnorm estimates for its adjoint vector function. Further mixed finite element of lowest order is used toderive the optimal maximum norm estimates for both unknown function and its adjoint vector function.
基金
国家教委博士基金
山东省教委科研基金!97001
关键词
线性抛物方程
混合元方法
最大模
最优误差估计
linear parabolic equation
mixed finite element
maximum norm
optimal estimates
