Recovery by discretization corrected particle strength exchange (DC PSE) operators
Numerical Analysis
2022-05-02 v1 Computational Engineering, Finance, and Science
Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2204.14089,
title = {Recovery by discretization corrected particle strength exchange (DC PSE) operators},
author = {Benjamin F. Zwick and George C. Bourantas and Farah Alkhatib and Adam Wittek and Karol Miller},
journal= {arXiv preprint arXiv:2204.14089},
year = {2022}
}