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Tytuł artykułu

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

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Konferencja
International Conference on the Trefftz Method (5 ; 2008 ; Leuven, Belgium)
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Strony
215--224
Opis fizyczny
Bibliogr. 12 poz., rys., tab., wykr.
Twórcy
autor
  • Institute of Applied Mechanics, Poznań University of Technology, ul. Piotrowo 3, 60-965 Poznań, Poland
Bibliografia
  • [1] J.T. Chen, C.S. Wu, Y.T. Lee, K.H. Chen. On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equation. Comput. Math. Appl., 53: 851-879, 2007.
  • [2] A. Karageorghis, G. Fairweather. The method of fundamental solutions for numerical solution of the biharmonic equation. J. Comput Phys., 69: 434-459, 1987.
  • [3] A. Karageorghis, G. Fairweather. The Almansi method of fundamental solutions for solving biharmonic problems.Int. J. Numer. Methods Engrg., 26: 1668-1682, 1988.
  • [4] A. Karageorghis, G. Fairweather. The simple layer potential method of fundamental solutions for certain biharmonic equation. Int. J. Numer. Methods Fluids, 9: 1221-1234, 1989.
  • [5] Z-C. Li. Combinations of method of fundamental solutions for Laplace's equation with singularities. Eng. Anal Boundary Elem., 32: 856-869, 2008.
  • [6] Z. Michalewicz. Genetic algorithms + Data Structures = Evolution Programs. Springer, 1998.
  • [7] P. Mitica, Y.F. Rashedb. Convergence and stability of the method of meshless fundamental solutions using an array of randomly distributed sources. Eng. Anal. Boundary Elem., 28: 143-153, 2004.
  • [8] R. Nishimura, K. Nishimori, N. Ishihara. Determining the arrangement of fictitious charges in charge simulation method using genetic algorithms. J. Electrostatics, 49: 95-105, 2000.
  • [9] R. Nishimura, K. Nishimori, N. Ishihara. Automatic arrangement of fictitious charges and contour points in charge simulation method for polar coordinate system. J. Electrostatics, 51-52: 618-624, 2001.
  • [10] R. Nishimura, K. Nishimori, N. Ishihara. Automatic arrangement of fictitious charges and contour points in charge simulation method for two spherical electrodes. J. Electrostatics, 57: 337-346, 2003.
  • [11] A. Poullikkas, A. Karageorghis, G. Georgiou. Methods of fundamental solutions for harmonic and biharmonic boundary value problems. Comput. Mech., 21: 416-423, 1998.
  • [12] J. Wang, J.D. Lavers. On the determination of the locations for the virtual sources in the method of fundamental solutions for Eddy current problems. IEEE T. Magn., 31: 3512-3514, 1995.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0033-0063
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