A New Iterative Method for Linear Systems from XFEM
Joint Authors
Zhao, Jianping
Zheng, Haibiao
Tang, Bo
Hou, Yanren
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-14
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The extend finite element method (XFEM) is popular in structural mechanics when dealing with the problem of the cracked domains.
XFEM ends up with a linear system.
However, XFEM usually leads to nonsymmetric and ill-conditioned stiff matrix.
In this paper, we take the linear elastostatics governing equations as the model problem.
We propose a new iterative method to solve the linear equations.
Here we separate two variables U and Enr, so that we change the problems into solving the smaller scale equations iteratively.
The new program can be easily applied.
Finally, numerical examples show that the proposed method is more efficient than common methods; we compare the L2-error and the CPU time in whole process.
Furthermore, the new XFEM can be applied and optimized in many other problems.
American Psychological Association (APA)
Zhao, Jianping& Hou, Yanren& Zheng, Haibiao& Tang, Bo. 2014. A New Iterative Method for Linear Systems from XFEM. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-466386
Modern Language Association (MLA)
Zhao, Jianping…[et al.]. A New Iterative Method for Linear Systems from XFEM. Mathematical Problems in Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-466386
American Medical Association (AMA)
Zhao, Jianping& Hou, Yanren& Zheng, Haibiao& Tang, Bo. A New Iterative Method for Linear Systems from XFEM. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-466386
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466386