Determining the Optimal Source Points in MFS by Minimizing an Energy Gap Functional for 3D Laplace Operator
Joint Authors
Aydi, Hassen
Sajjadmanesh, M.
Shakib Khanghah, S.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-21
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
In this paper, an extended version of the method of minimizing an energy gap functional for determining the optimal source points in the method of fundamental solutions (MFS) is applied to the 3D Laplace operator subject to the Dirichlet and Neumann boundary conditions.
As we know, the MFS is a more popular meshless method for solving boundary or initial-boundary value problems due to its simplicity and high accuracy.
However, the accuracy of the MFS depends strongly on the distribution of the source points.
Finally, some of the numerical experiments are carried out to express the simplicity and effectiveness of the presented method.
American Psychological Association (APA)
Sajjadmanesh, M.& Shakib Khanghah, S.& Aydi, Hassen. 2020. Determining the Optimal Source Points in MFS by Minimizing an Energy Gap Functional for 3D Laplace Operator. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1185672
Modern Language Association (MLA)
Sajjadmanesh, M.…[et al.]. Determining the Optimal Source Points in MFS by Minimizing an Energy Gap Functional for 3D Laplace Operator. Journal of Function Spaces No. 2020 (2020), pp.1-5.
https://search.emarefa.net/detail/BIM-1185672
American Medical Association (AMA)
Sajjadmanesh, M.& Shakib Khanghah, S.& Aydi, Hassen. Determining the Optimal Source Points in MFS by Minimizing an Energy Gap Functional for 3D Laplace Operator. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1185672
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185672