A new methodology for element partition and integration procedures for XFEM

被引：6

作者：

Cao-Rial, M. T. ^{[1
,4
]}

Moreno, C. ^{[2
]}

Quintela, P. ^{[3
,4
]}

机构：

[1] Univ A Coruna, Dept Math, La Coruna 15001, Spain

[2] Univ Nacl Educ Distancia, Dept Stat OR & Numer Anal, E-28040 Madrid, Spain

[3] Univ Santiago de Compostela, Dept Appl Math, Campus Vida, Santiago De Compostela 15782, Spain

[4] ITMATI Technol Inst Ind Math, Campus Vida, Santiago De Compostela 15782, Spain

来源：

FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2016年 / 113卷

关键词：

XFEM; Level sets; Barycentric coordinates; Quadrature; Interface; Enrichment; Element partitioning; EXTENDED FINITE-ELEMENT; SINGULAR FUNCTIONS; CRACK-GROWTH; PART I; IMPLEMENTATION;

D O I：

10.1016/j.finel.2015.12.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An overview of the particularities of the extended finite element method implementation in contrast with the classical FEM is presented. The most relevant difficulty lies in the integration over elements containing jumps or singularities, since a classical quadrature rule cannot be applied. We present an algorithm which, avoiding a casuistic analysis, automatically partitions an enriched element and constructs a new quadrature formula for those elements that preserves the integration order from the original one. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：1 / 13

页数：13

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