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Recovery by discretization corrected particle strength exchange (DC PSE) operators

B.F. Zwick, G.C. Bourantas, F. Alkhatib, A. Wittek and K. Miller

Applied Mathematics and Computation, 2023, vol. 448, issue C

Abstract: A new recovery technique based on discretization corrected particle strength exchange (DC PSE) operators is developed in this paper. DC PSE is an established collocation method that can be used to compute derivatives directly at nodal points, instead of by projection from Gauss points as is done in many finite element-based recovery techniques. The proposed recovery technique is truly meshless and does not require patches of elements to be defined, which makes it generally applicable to point clouds and arbitrary element topologies. Numerical examples show that the proposed method is accurate and robust.

Keywords: Meshless and meshfree methods; Finite element method; Linear elasticity; Solid mechanics; Numerical differentiation; Patch recovery (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:448:y:2023:i:c:s0096300323000929

DOI: 10.1016/j.amc.2023.127923

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