An adaptive domain partitioning technique for meshfree-type methods
type: Item
instance of: scholarly article
title: An adaptive domain partitioning technique for meshfree-type methods
zbMATH Open document ID: 1244.65165
DOI: 10.1155/2012/817026
author: Kamal Shanazari
published in: Journal of Applied Mathematics
publication date: 2012-08-06T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 6063493
Wikidata QID: Q58907416
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/817026
OpenAlex ID: W2061081901
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DBLP publication ID: journals/jam/Shanazari12
description: scientific article; zbMATH DE number 6063493