|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
|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.
|URI:||http://hdl.handle.net/11420/14188||ISSN:||0178-7675||Journal:||Computational Mechanics||Institute:||Konstruktion und Festigkeit von Schiffen M-10||Document Type:||Article|
|Appears in Collections:||Publications without fulltext|
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