Mesh based construction of flat-top partition of unity functions

被引：25

作者：

Hong, Won-Tak ^{[1
]}

Lee, Phill-Seung ^{[1
,2
]}

机构：

[1] Korea Adv Inst Sci & Technol, Inst Design Complex Syst, Taejon 305701, South Korea

[2] KAIST Ocean Syst Engn, Taejon 305701, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 16期

关键词：

Partition of unity; Flat-top; Generalized finite element method (GFEM); FINITE-ELEMENT-METHOD;

D O I：

10.1016/j.amc.2013.02.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A novel idea to construct flat-top partition of unity functions in a closed form on a general (structured or unstructured) finite element mesh is presented. An efficient and practical construction method of a flat-top partition of unity function is important in the generalized finite element method (GFEM). Details on how to construct flat-top partition of unity functions on a provided mesh are given. The generalized finite element approximation with the use of the new flat-top partition of unity function is presented with various numerical examples that demonstrate the effectiveness of proposed flat-top partition of unity functions. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：8687 / 8704

页数：18

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