摘要
以一类具有单调性质的拟线性抛物方程为模型，对相应的线性有限元格式，提出一种非线性椭圆投影以代替常规的线性椭圆投影，进而得到了该类问题的最优Ｌ￣２误差估计，这是用通常的线性投影难以做到的。
In the paper,a nonlinear elliptic projection is presented to replace the linear ver-sion which is commonly used in error analysis of linear finite element procedure for a model ofquasilinear parabolic equations with monotone property,and the optimaI L￣2 error estimates isobtained which is not easily reached by the linear projection.
出处
《山东师范大学学报（自然科学版）》
CAS
1995年第3期241-245,共5页
Journal of Shandong Normal University(Natural Science)
关键词
非线性椭圆投影
线性
有限元
最优误差估计
nonlinear elliptic projection
quasilinear pirabolic equation
linear finiteelement
optimal error estimate
