Output details
15 - General Engineering
Cardiff University
Return to search
Output 0 of 0 in the submission
Article title
A robust preconditioning technique for the extended finite element method
Type
D - Journal article
DOI
Title of journal
International Journal for Numerical Methods in Engineering
Article number
-
Volume number
85
Issue number
13
First page of article
1609
ISSN of journal
0029-5981
Year of publication
2011
Number of additional authors
1
Additional information
The extended finite element method (XFEM) in its original form allows modelling evolving discontinuities and singularities in a fixed mesh, which reduces significantly the effort associated with meshing and remeshing as cracks propagate. The paper proposes a general and inexpensive preconditioner for XFEM, which decreases the condition number of the matrix and the number of iterations to convergence by two orders of magnitude, and the solution time by a factor of 2. The work has been use by dozens of engineers and applied mathematicians worldwide, to develop new numerical methods and for practical applications: composites, multi-phase flow, brittle fracture.
Interdisciplinary
-
Cross-referral requested
-
Research group
C - Computational Mechanics
Proposed double-weighted
No
Double-weighted statement
-
Reserve for a double-weighted output
No
Non-English
No
English abstract
-
