二阶椭圆问题的稳定化杂交有限元分析  

ANALYSIS OF STABILIZED HYBRID FINITE ELEMENTS FOR THE SECOND-ORDER ELLIPTIC PROBLEM

作　　者：段火元[1] 

机构地区：[1]中国科学院计算数学与科学工程计算研究所,北京100080

出　　处：《高等学校计算数学学报》2000年第1期47-54,共8页Numerical Mathematics A Journal of Chinese Universities

基　　金：科学与工程计算国家重点实验室资助

摘　　要：Stabilized hybrid finite element methods are developed for the second order elliptic problem. These methodologies are characterized by the following properties:[1] any stabilizing parameter is avoided. [2] the uniform ellipticity is obtained.[3] hybrid element pairs can be depicted as either nonconforming or can be expanded as conforming elements through the method used. [4] optimal error bounds are established.[5] the same arguments as this note may be easily applied to other three dimensional problems.Stabilized hybrid finite element methods are developed for the second order elliptic problem. These methodologies are characterized by the following properties:[1] any stabilizing parameter is avoided. [2] the uniform ellipticity is obtained.[3] hybrid element pairs can be depicted as either nonconforming or can be expanded as conforming elements through the method used. [4] optimal error bounds are established.[5] the same arguments as this note may be easily applied to other three dimensional problems.

关 键 词：二阶椭圆问题 稳定化杂交有限元 协调元 

分 类 号：O241.82[理学—计算数学] O242.21[理学—数学]