Mortar型有限元方法的一类Mortar条件  

A Mortar Condition for Mortar Finite Element Methods

作　　者：姜亚琴[1] 

机构地区：[1]南京邮电大学理学院,江苏南京210003

出　　处：《南京邮电大学学报（自然科学版）》2011年第1期102-105,共4页Journal of Nanjing University of Posts and Telecommunications：Natural Science Edition

摘　　要：研究了mortar型有限元方法的逼近性,建立了一种mortar条件具备最优误差的标准,在满足该标准的基础上介绍了两个mortar条件。利用这两个mortar条件分别构建mortar型旋转Q1元与mortar型P1非协调元。通过检验mortar条件符合标准,证明了这两种mortar有限元方法对于椭圆问题有最优的误差估计。In this paper,we study the approximation of mortar finite element methods and establish a criterion for the optimal mortar condition.Based on the criterion,two mortar conditions are presented.Using the two mortar condition,we construct mortar rotated Q1 element and mortar P1 nonconforming element.By the mortar condition satisfying the criterion,we obtain optimal error estimates for elliptic problems.

关 键 词：MORTAR有限元 mortar条件 椭圆问题 

分 类 号：O241[理学—计算数学]