학술논문
Recovery by discretization corrected particle strength exchange (DC PSE) operators.
Document Type
Journal
Author
Zwick, B. F. (5-WA-ISM) AMS Author Profile; Bourantas, G. C. (5-WA-ISM) AMS Author Profile; Alkhatib, F. (5-WA-ISM) AMS Author Profile; Wittek, A. (5-WA-ISM) AMS Author Profile; Miller, K. (5-WA-ISM) AMS Author Profile
Source
Subject
65 Numerical analysis -- 65M Partial differential equations, initial value and time-dependent initial-boundary value problems
65M60Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
65M60
Language
English
Abstract
Summary: ``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.''