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2012 An Adaptive Domain Partitioning Technique for Meshfree-Type Methods
Kamal Shanazari
J. Appl. Math. 2012: 1-13 (2012). DOI: 10.1155/2012/817026


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.


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Kamal Shanazari. "An Adaptive Domain Partitioning Technique for Meshfree-Type Methods." J. Appl. Math. 2012 1 - 13, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1244.65165
MathSciNet: MR2904535
Digital Object Identifier: 10.1155/2012/817026

Rights: Copyright © 2012 Hindawi


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