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

Jopek H., Kołodziej J. A.

Computer Assisted Mechanics and Engineering Sciences

2008

Vol. 15, No. 3/4

215-224

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.