摘要
利用正规格林函数及对偶论证技术 ,证明了非线性二阶椭圆问题的混合有限无方法对函数的L2 投影有几乎超收敛一阶的最大模误差估计 ,对函数有最优阶的最大模误差估计 ,对伴随向量函数及其散度有拟最优的最大模误差估计 .
Using the regularized Green's functions and a duality argument,we prove that the mixed finite element method proposed in this paper for nonlinear second order elliptic problems possesses the almost superconvergence by one order maximum norm error estimates for the L 2 projection of the function ,optimal maxium norm error estimates for the function,and quansi optimal maximum norm error estimates for the associated vector function and its divergence.
出处
《山东师范大学学报（自然科学版）》
CAS
2000年第1期1-6,共6页
Journal of Shandong Normal University(Natural Science)
关键词
非线性椭圆问题
混合有限元
最大模
误差估计
nonlinear elliptic problems
mixed finite element methods
maximum norm
error estimates
