Error estimate and adaptive refinement in mixed discrete least squares meshless method
type: Item
instance of: scholarly article
title: Error estimate and adaptive refinement in mixed discrete least squares meshless method
zbMATH Open document ID: 1407.74082
DOI: 10.1155/2014/721240
author: A. Saboor Bagherzadeh
author: J. Amani
author: T. Rabczuk
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The node moving and multistage node enrichment adaptive refinement procedures are extended in mixed discrete least squares meshless (MDLSM) method for efficient analysis of elasticity problems. In the formulation of MDLSM method, mixed formulation is accepted to avoid second-order differentiation of shape functions and to obtain displacements and stresses simultaneously. In the refinement procedures, a robust error estimator based on the value of the least square residuals functional of the governing differential equations and its boundaries at nodal points is used which is inherently available from the MDLSM formulation and can efficiently identify the zones with higher numerical errors. The results are compared with the refinement procedures in the irreducible formulation of discrete least squares meshless (DLSM) method and show the accuracy and efficiency of the proposed procedures. Also, the comparison of the error norms and convergence rate show the fidelity of the proposed adaptive refinement procedures in the MDLSM method.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 7017118
Wikidata QID: Q59071651
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/721240
OpenAlex ID: W2067265919
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description: scientific article; zbMATH DE number 7017118