二阶椭圆问题基于Morley-Wang-Xu元离散的超惩罚法  

On Super-Penalty Method for Second-order Elliptic Problems Based on Morley-Wang-Xu Element Discretization

作　　者：周瑞月 黄学海[1] 王文庆 ZHOU Ruiyue;HUANG Xuehai;WANG Wenqing(College of Mathematics and Information Science, Wenzhou University, Wenzhou, China 325035;Department of Basic Teaching, Wenzhou Business College, Wenzhou, China 325035)

机构地区：[1]温州大学数学与信息科学学院,浙江温州325035 [2]温州商学院基础部,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2017年第3期23-29,共7页Journal of Wenzhou University(Natural Science Edition)

摘　　要：讨论了在间断有限元方法基础上,对二阶椭圆问题加上超惩罚项,用修改后的Morley-Wang-Xu元解二阶椭圆边界值问题,并进行了误差分析.It is discussed in this paper that the super-penalty term to the second-order elliptic problems is added on the basis of the discontinuous finite element method.The modified Morley-Wang-Xu element is used to solve the second-order elliptic boundary value problems and then to take the relative analysis of the error estimation.

关 键 词：超惩罚间断有限元方法 Morley-Wang-Xu元 二阶椭圆问题 误差估计 

分 类 号：O241.82[理学—计算数学]