一类发展方程的非协调元逼近方法  

Nonconforming Finite Element Method For a Kind of Nonstationary Equations

作　　者：王健[1] 

机构地区：[1]安阳师范学院数学科学学院,河南安阳455000

出　　处：《山西大学学报（自然科学版）》2007年第4期446-449,共4页Journal of Shanxi University(Natural Science Edition)

基　　金：河南省教育厅自然科学研究项目(2007110001)

摘　　要：讨论了一类发展方程—抛物问题的非协调有限元方法.首先,给出了所讨论问题的非协调有限元的全离散逼近格式.其次,利用Riesz投影算子,并在合理的正则性假设下,得到了关于L2模和能量模方面的一些最优误差估计式.The nonconforming finite element methods for a kind of nonstationary equations-parabolic problem were studied. Approximation scheme of full discrete of the nonconforming finite element methods for the problem was discussed. In addition, by means of Riesz projection operator and some new approaches. Under realistic regularity assumptions on the exact solution,some error estimates on L2-norm and energy-norm were derived.

关 键 词：方程 非协调元 全离散 最优误差估计 

分 类 号：O242.21[理学—计算数学]