TY  - EJOU
AU  - Amaziane, B.  
AU  - Naji, A.  
AU  - Ouazar, D.  

TI  - Radial Basis Function and Genetic Algorithms for Parameter Identification to Some Groundwater Flow Problems
T2  - Computers, Materials \& Continua

PY  - 2004
VL  - 1
IS  - 2
SN  - 1546-2226

AB  - In this paper, a meshless method based on Radial Basis Functions (RBF) is coupled with genetic algorithms for parameter identification to some selected groundwater flow applications. The treated examples are generated by the diffusion equation with some specific boundary conditions describing the groundwater fluctuation in a leaky confined aquifer system near open tidal water. To select the best radial function interpolation and show the powerful of the method in comparison to domain based discretization methods, Multiquadric (MQ), Thin-Plate Spline (TPS) and Conical type functions are investigated and compared to finite difference results or analytical one. Through two sample problems in groundwater flow, we demonstrate the computational capacity of RBF in simulating time dependent problems and the possibility of simultaneous estimation of multiple groundwater parameters computational feasibility when it is coupled to simple Genetic Algorithms (GAs). Performance of variously based RBF is compared.
KW  - meshless methods
KW  -  radial basis functions
KW  -  multiquadric
KW  -  conical
KW  -  genetic algorithm
KW  -  groundwater flow

DO  - 10.3970/cmc.2004.001.117