4A

Research using the Wendland RBF for the RBF-FD method to solve the Poisson equation in 3D

Authors:
Ngô Mạnh Tưởng, Nguyễn Thị Thanh Giang, Nguyễn Thị Nhung
View:
0
Position:
0/0
In recent years, the meshless finite difference method based on radial basis functions (RBF-FD) of solving partial differential equation in 3D has been studied by many scientists. To find the RBF-FD weight vector, the authors used the Power RBF interpolation, which does not depend on the shape parameter. This paper presents the research results of using Wendland RBF interpolation to find the weight vectors for the RBF-FD method to solve Poisson equations in 3D. The numerical experiments showed that the solution of the RBF-FD method using the Wendland function has good accuracy compared to the solution of the finite element method (FEM - Finite Element Method).
Relate

Vinh University journal of science

Tạp chí khoa học Trường Đại học Vinh

ISSN: 1859 - 2228

Governing body: Vinh University

  • Address: 182 Le Duan - Vinh City - Nghe An province
  • Phone: (+84) 238.3855.452 - Fax: (+84) 238.3855.269
  • Email: vinhuni@vinhuni.edu.vn
  • Website: https://vinhuni.edu.vn

 

License: 163/GP-BTTTT issued by the Minister of Information and Communications on May 10, 2023

Open Access License: Creative Commons CC BY NC 4.0

 

CONTACT

Editor-in-Chief: Assoc. Prof., Dr. Tran Ba Tien
Email: tientb@vinhuni.edu.vn

Deputy editor-in-chief: Dr. Phan Van Tien
Email: vantienkxd@vinhuni.edu.vn

Sub-Editor: Dr. Do Mai Trang
Email: domaitrang@vinhuni.edu.vn

Editorial assistant: Msc. Le Tuan Dung, Msc. Phan The Hoa, Msc. Pham Thi Quynh Nga, Msc. Tran Thi Thai

  • Address: 4th Floor, Executive Building, No. 182, Le Duan street, Vinh city, Nghe An province.
  • Phone: (+84) 238-385-6700 | Hotline: (+84) 97-385-6700
  • Email: editors@vujs.vn
  • Website: https://vujs.vn

img