The stable extrinsic extended finite element method for second order elliptic equation with interfaces

被引：0
作者：
Zhao, Jianping [1 ,2 ]
Hou, Yanren [3 ]
Song, Lina [4 ]
Gui, Dongwei [2 ]
机构：
[1] Xinjiang Univ, Coll Math & System Sci, Urumqi 830046, Peoples R China
[2] Xinjiang Inst Ecol & Geog, Cele Natl Stn Observat & Res Desert Grassland Ec, Urumqi 830011, Peoples R China
[3] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
[4] Qingdao Univ, Sch Math Sci, Qingdao 266071, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2015年
基金：
中国博士后科学基金;
关键词：
extended finite element method; generalized finite element method; discontinuous coefficients; extrinsic; interface; DISCONTINUOUS COEFFICIENTS; MATCHED INTERFACE; BOUNDARY METHOD; CRACK-GROWTH; PARTITION; NONSMOOTH; XFEM;
D O I：
10.1186/s13662-015-0517-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a stable extrinsic extended finite element method (SXFEM) is proposed to solve the second order elliptic equation with discontinuous coefficients and interfaces. SXFEM is designed by the stable enrichment function and stress intensity factors (SIF)-type enrichment functions. It shows that the proposed SXFEM can get the optimal convergence order. Numerical experiments are presented to verify the feasibility of the new method for this type of problem and the superiority compared with the standard FEM and XFEM.
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页码：1 / 12
页数：12
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