Creator:

Kindelan, Manuel ; González-Rodríguez, Pedro ; Álvarez, Diego

Contributor:

Wiśniewski, Remigiusz - ed. ; Gomes, Luis - ed. ; Wan, Shaohua - ed.

Title:

RBF based quadrature on the sphere

Subtitle:

.

Group publication title:

AMCS, volume 32 (2022)

Subject and Keywords:

RBF-FD ; quadrature ; sphere

Abstract:

The paper describes a new RBF-FD based technique to compute quadrature weights on the sphere. In the proposed method, the sphere is divided into rectangles in the latitude-azimuth coordinate system, and the function is integrated over each rectangle using RBF interpolation. The method is easy to implement and its accuracy is comparable to that based on SPH expansions. One advantage of the proposed method is its ability to handle non-uniform node distributions. On this respect, we propose a new algorithm to cluster nodes in regions of steep changes in the function. It is a repulsion-based algorithm with a non-uniform distribution of electrical charges. We show that, using node clustering, the accuracy of the method can be significantly improved.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2022

Resource Type:

artykuł

DOI:

10.34768/amcs-2022-0034

Pages:

467-478

Source:

AMCS, volume 32, number 3 (2022) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego