A unified enrichment approach addressing blending and conditioning issues in enriched finite elements

被引：34

作者：

Agathos, Konstantinos ^{[1
]}

Chatzi, Eleni ^{[1
]}

Bordas, Stephane P. A. ^{[2
,3
,4
]}

机构：

[1] Swiss Fed Inst Technol, Dept Civil Environm & Geomat Engn, Stefano Franscini Pl 5, CH-8093 Zurich, Switzerland

[2] Luxembourg Univ, Res Unit Engn Sci, 6 Rue Richard Coudenhove Kalergi, L-1359 Luxembourg, Luxembourg

[3] Cardiff Univ, Inst Theoret Appl & Computat Mech, Cardiff CF24 3AA, S Glam, Wales

[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2019年 / 349卷

基金：

瑞士国家科学基金会;

关键词：

XFEM; GFEM; PU-FEM; Higher-order; Conditioning; CRACK-TIP ENRICHMENT; GENERALIZED FEM; X-FEM; XFEM; INTEGRATION; PARTITION; DISCONTINUITIES; IMPLEMENTATION; APPROXIMATION; INTERPOLATION;

D O I：

10.1016/j.cma.2019.02.005

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present a combination of techniques to improve the convergence and conditioning properties of partition of unity (PU) enriched finite element methods. By applying these techniques to different types of enrichment functions, namely polynomial, discontinuous and singular, higher order convergence rates can be obtained while keeping condition number growth rates similar to the ones corresponding to standard finite elements. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：673 / 700

页数：28

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