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

Journal of Function Spaces

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

Mathematics

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