Application of genetic algorithms for optimal positions of source points in the method of fundamental solutions

  • Hubert Jopek Poznań University of Technology
  • Jan A. Kołodziej Poznań University of Technology

Abstract

This paper describes the application of the method of fundamental solutions for 2-D harmonic and biharmonic problems. Also, genetic algorithm is presented as a numerical procedure used for the determination of source points positions. Choosing good locations of source points is crucial in the MFS as it has a great impact on the quality of the solution. Genetic algorithm is applied in order to find such an arrangement of source points, which provides the solution of sufficient accuracy.

Keywords

method of fundamental solutions, gnetic algorithm, multicriteria optimization, Motz problem, biharmonic problem,

References

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Published
Jul 19, 2022
How to Cite
JOPEK, Hubert; KOŁODZIEJ, Jan A.. Application of genetic algorithms for optimal positions of source points in the method of fundamental solutions. Computer Assisted Methods in Engineering and Science, [S.l.], v. 15, n. 3-4, p. 215-224, july 2022. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/729>. Date accessed: 22 nov. 2024.
Section
Articles