A hierarchical finite element method based on the partition of unity

被引：33

作者：

Taylor, RL ^{[1
]}

Zienkiewicz, OC

Onate, E

机构：

[1] Univ Calif Berkeley, Dept Civil Engn, Berkeley, CA 94720 USA

[2] Univ Coll Swansea, Dept Civil Engn, Swansea SA2 8PP, W Glam, Wales

[3] Univ Politecn Catalunya, CIMNE, Barcelona, Spain

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1998年 / 152卷 / 1-2期

关键词：

D O I：

10.1016/S0045-7825(97)00182-5

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we consider the application of hierarchical functions to base approximations which are a partition of unity. The particular hierarchical functions used are added to base finite element interpolations which, for C-0 approximations, are a particular case of the partition of unity. We also show how the functions may be constructed to preserve the interpolation property of the base finite element functions. An application to linear elasticity is used to illustrate the properties and stability of the approximation.

引用

页码：73 / 84

页数：12