Work

Optimizing the shape parameter in rational RBF partition of unity interpolation

Year: 2025

Type: article

Abstract: In this article we enhance the rational RBF partition of unity (RBF-PU) method presented in Farazandeh and Mirzaei (2021) for shape parameter free RBFs. Here, we propose a leave-one-out cross-validation technique to optimize the RBF shape parameter in the context of rational interpolation. This approach enables us to obtain remarkable results in the rational RBF-PU scheme for shape parameter dependent RBFs. Numerical experiments highlight performance of the rational RBF-PU interpolation, also in comparison to that of the standard method.

Source: Applied Mathematics Letters

DOI: 10.1016/j.aml.2025.109766

Author: Roberto Cavoretto

Institution: University of Turin

Language: English

Topic: Numerical methods in engineering

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,800

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per il Calcolo Scientifico