An efficient finite element method for embedded interface problems

被引：198

作者：

Dolbow, John ^{[1
]}

Harari, Isaac ^{[2
]}

机构：

[1] Duke Univ, Dept Civil & Environm Engn, Durham, NC 27708 USA

[2] Tel Aviv Univ, Fac Engn, IL-69978 Ramat Aviv, Israel

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2009年 / 78卷 / 02期

关键词：

embedded interface; Nitsche; finite element; stabilization; BOUNDARY-CONDITIONS; SET METHOD; CONSTRAINTS; EQUATION; GROWTH; CRACK; XFEM;

D O I：

10.1002/nme.2486

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A stabilized finite element method based on the Nitsche technique for enforcing constraints leads to all efficient computational procedure for embedded interface problems. We consider cases ill which the jump of a field across the interface is given, as well as cases in which the primary field oil the interface is given. The finite element mesh need not be aligned with the interface geometry. We present closed-form analytical expressions for interfacial stabilization terms and simple procedures for accurate flux evaluations. Representative numerical examples demonstrate the effectiveness of the proposed methodology. Copyright (C) 2008 John Wiley & Sons. Ltd.

引用

页码：229 / 252

页数：24

共 33 条

[1]

[Anonymous], 1984, CALCOLO, DOI 10.1007/bf02576171

[2] A comment on the article "A finite element method for simulation of strong and weak discontinuities in solid mechanics" By A. Hansbo and P. Hansbo [Comput. methods Appl. Mech. Engrg. 193 (2004) 3523-3540] [J].