- Tytuł:
- RBF based quadrature on the sphere
- Autorzy:
-
Kindelan, Manuel
González-Rodríguez, Pedro
Álvarez, Diego - Powiązania:
- https://bibliotekanauki.pl/articles/2172102.pdf
- Data publikacji:
- 2022
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
RBF-FD based technique
quadrature
sphere - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2022, 32, 3; 467--479
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł