A NEW FICTITIOUS DOMAIN APPROACH INSPIRED BY THE EXTENDED FINITE ELEMENT METHOD

被引：76

作者：

Haslinger, Jaroslav ^{[1
]}

Renard, Yves ^{[2
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Dept Numer Math, Prague 18675 8, Czech Republic

[2] Univ Lyon, CNRS, INSA Lyon,ICJ UMR5208, LaMCoS UMR5259, F-69621 Villeurbanne, France

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2009年 / 47卷 / 02期

关键词：

fictitious domain; Xfem; approximation of elliptic problems; stabilization technique; LAGRANGE MULTIPLIERS; CRACK-GROWTH; LEVEL SETS; BOUNDARY-CONDITIONS;

D O I：

10.1137/070704435

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to present a new fictitious domain approach inspired by the extended finite element method introduced by Moes, Dolbow, and Belytschko in [Internat. J. Numer. Methods Engrg., 46 (1999), pp. 131-150]. An optimal method is obtained thanks to an additional stabilization technique. Some a priori estimates are established and numerical experiments illustrate different aspects of the method. The presentation is made on a simple Poisson problem with mixed Neumann and Dirichlet boundary conditions. The extension to other problems or boundary conditions is quite straightforward.

引用

页码：1474 / 1499

页数：26

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