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

•Meshfree method used to recover solution gradients and derived quantities (stress).•Recovery method is verified on benchmark problems to demonstrate its accuracy.•Accuracy of meshfree method is similar to quadratic finite elements.•Stress in aneurysm example demonstrates practical application of th...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and computation 2023-07, Vol.448, p.127923, Article 127923
Main Authors: Zwick, B.F., Bourantas, G.C., Alkhatib, F., Wittek, A., Miller, K.
Format: Article
Language:English
Subjects:
Finite element method
Linear elasticity
Meshless and meshfree methods
Numerical differentiation
Patch recovery
Solid mechanics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:•Meshfree method used to recover solution gradients and derived quantities (stress).•Recovery method is verified on benchmark problems to demonstrate its accuracy.•Accuracy of meshfree method is similar to quadratic finite elements.•Stress in aneurysm example demonstrates practical application of the recovery method. 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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2023.127923