AN EXTENDED FINITE ELEMENT METHOD FOR 2D EDGE ELEMENTS

被引：0

作者：

Lefevre, Francois ^{[1
]}

Lohrengel, Stephanie ^{[1
]}

Nicaise, Serge ^{[2
]}

机构：

[1] Univ Reims, Math Lab, F-51687 Reims 2, France

[2] Univ Valenciennes & Hainaut Cambresis, LAMAV, F-59313 Valenciennes 9, France

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2011年 / 8卷 / 04期

关键词：

Maxwell's equations; domains with cracks; XFEM; singularities of solutions; FICTITIOUS DOMAIN METHOD; 3D CRACK-GROWTH; LEVEL SETS; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new eXtended Finite Element Method based on two-dimensional edge elements is presented and applied to solve the time-harmonic Maxwell equations in domains with cracks. Error analysis is performed and shows the method to be convergent with an order of at least O(h(1/2-eta)). The implementation of the method is discussed and numerical tests illustrate its performance.

引用

页码：641 / 666

页数：26

共 34 条

[1]

[Anonymous], 2003, SOBOLEV SPACES

[2]

[Anonymous], 1978, STUDIES MATH ITS APP

[3] Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains:: The Singular Complement Method [J].