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

TL;DR

This paper introduces a meshless recovery technique called DC PSE that computes derivatives directly at nodes, offering an accurate and robust alternative to traditional finite element-based methods, suitable for arbitrary point clouds.

Contribution

The paper presents a novel meshless collocation method, DC PSE, for derivative recovery that does not rely on element patches or projections, enhancing flexibility and applicability.

Findings

Demonstrates high accuracy in numerical tests

Shows robustness across different point cloud configurations

Applicable to arbitrary element topologies

Abstract

A new recovery technique based on discretization corrected particle strength exchange (DC PSE) operators is developed in this paper. DC PSE is a 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 method 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.