An approach to refinement of irregular clouds of points using generalized finite differences
type: Item
instance of: scholarly article
title: An approach to refinement of irregular clouds of points using generalized finite differences
zbMATH Open document ID: 1394.65128
DOI: 10.1155/2015/283757
author: Luis Gavete
author: Francisco Ureña
author: Juan José Benito
author: M. Lucía Gavete
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper describes a fully automatic adaptive refinement procedure performed in conjunction with the generalized finite difference method (GFDM) for solving a second-order partial differential equation (PDE) frequently encountered in engineering practice. A quadtree structure is used to organize the clouds of points. The adaptive procedure is based on the existing differences between the gradients of close points. The relative error between two successive adaptation processes is taken as the criterion to stop the algorithm. Using this adaptive procedure, the high gradient regions are easily detected and refined. Some benchmark examples are presented showing the accuracy of the method.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 68Q10
zbMATH DE Number: 6925954
Wikidata QID: Q59117854
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/283757
OpenAlex ID: W1562825902
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description: scientific article; zbMATH DE number 6925954