An Adaptive Domain Partitioning Technique for Meshfree-Type Methods
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
An overlapping domain partitioning based on adapting nodes is presented for the meshless-type methods.
The decomposition of the domain is carried out based on the distribution of the nodes produced rather than the geometry of the problem.
A set of adaptive nodes is first generated using the dimension reduction and equidistributing along the coordinate directions with respect to arc-length monitor.
The domain is then partitioned in such a way that the same number of nodes are allocated to the subdomains.
A radial basis function collocation method is applied to each subdomain followed by assembling the global solution from the subproblem's solutions.
A generalized thin plate spline with sufficient smoothness is used as a basis function in the collocation method.
Some numerical results will be presented to show the performance of the proposed method.
American Psychological Association (APA)
Shanazari, Kamal. 2012. An Adaptive Domain Partitioning Technique for Meshfree-Type Methods. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993730
Modern Language Association (MLA)
Shanazari, Kamal. An Adaptive Domain Partitioning Technique for Meshfree-Type Methods. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-993730
American Medical Association (AMA)
Shanazari, Kamal. An Adaptive Domain Partitioning Technique for Meshfree-Type Methods. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993730
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993730