摘要
本文利用正规格林函数及对偶论证技术证明了一类强非线性二阶椭圆问题混合元方法对函数的L2投影具有几乎超收敛一阶的最大模误差估计,对伴随向量函数具有拟最优最大模误差估计.
Using the regularized Greens functions and a duality argument, it is proved that the mixed finite element method proposed in this paper possesses the superconvergence by almost one order maximum norm estimates for the L 2 projection of the function and quasi optimal maximum norm estimates for the associated vector function for a strongly nonlinear second order elliptic problem.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
1999年第1期11-16,共6页
Applied Mathematics A Journal of Chinese Universities(Ser.A)