Publisher DOI: 10.1007/s00466-022-02249-9
Title: h-Adaptive radial basis function finite difference method for linear elasticity problems
Language: English
Authors: Tóth, Balázs 
Düster, Alexander 
Keywords: Adaptivity; Finite differences; Linear elasticity; Polyharmonic splines; Polynomials; Radial basis functions
Issue Date: 2022
Source: Computational Mechanics (in Press, cc by): (2022)
Abstract (english): 
In this research work, the radial basis function finite difference method (RBF-FD) is further developed to solve one- and two-dimensional boundary value problems in linear elasticity. The related differentiation weights are generated by using the extended version of the RBF utilizing a polynomial basis. The type of the RBF is restricted to polyharmonic splines (PHS), i.e., a combination of the odd m-order PHS ϕ(r) = rm with additional polynomials up to degree p will serve as the basis. Furthermore, a new residual-based adaptive point-cloud refinement algorithm will be presented and its numerical performance will be demonstrated. The computational efficiency of the PHS RBF-FD approach is tested by means of the relative errors measured in ℓ2-norm on several representative benchmark problems with smooth and non-smooth solutions, using h-adaptive, uniform, and quasi-uniform point-cloud refinement.
ISSN: 0178-7675
Journal: Computational Mechanics 
Institute: Konstruktion und Festigkeit von Schiffen M-10 
Document Type: Article
Appears in Collections:Publications without fulltext

Show full item record

Page view(s)

checked on Feb 7, 2023

Google ScholarTM


Add Files to Item

Note about this record

Cite this record


Items in TORE are protected by copyright, with all rights reserved, unless otherwise indicated.