抛物问题的质量集中非协调有限元法  

The Lumped Mass Nonconforming Finite Element Methods for a Parabolic Problem

作　　者：戴培良[1] 戴嘉尊[2] 

机构地区：[1]常熟理工学院数学系,江苏常熟215500 [2]南京航空航天大学理学院,江苏南京210016

出　　处：《工程数学学报》2004年第4期519-524,共6页Chinese Journal of Engineering Mathematics

基　　金：江苏省教育厅自然科学基金(00SJD110008)

摘　　要：主要讨论了一类抛物问题的质量集中非协调有限元方法。首先,我们给出了所讨论问题的质量集中非协调有限元Crank-Nicolson全离散逼近格式。其次,对讨论问题的解与所给出逼近格式的解之间的误差估计进行了分析研究。最后利用椭圆投影算子,我们得到了关于L_2模和能量模方面的一些误差估计式。The paper mainly discusses the lumped mass nonconforming finite element methods for a parabolic problem. Firstly, we study the Crank-Nicolson completely discrete approximation scheme of the lumped mass nonconforming finite element methods for the discussed problem. Secondly, some error estimates between the solution of the discussed problem and the solution of the discussed scheme are considered. Finally, by means of the elliptic projection operator, some error estimates on L_2-norm and energy-norm are derived

关 键 词：误差估计 质量集中 非协调有限元 抛物问题 

分 类 号：O175.2[理学—数学]