抛物型方程半离散解的最优误差估计

Optimal Error Estimation on Semi-discrete Solution of Parabolic Equation

讨论了抛物问题的半离散非协调有限元方法.首先,给出了所讨论问题的非协调有限元的半离散逼近格式.其次,利用Riesz投影算子,并在合理的正则性假设下,通过一些新的技巧和方法,得到了关于模和能量模方面的一些最优误差估计式.

The nonconforming finite element methods for parabolic problems are discussed. Firstly, the semi - discrete approximation forms of the nonconforming finite element are given. Secondly, by means of Riesz projection operator and some new approaches, some optimal error estimations on - norm and energynorm are obtained under realistic regularity assumptions on the exact solution.