2012
DOI: 10.1016/j.compstruct.2011.08.001
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A novel algorithm for shape parameter selection in radial basis functions collocation method

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Cited by 31 publications
(19 citation statements)
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References 16 publications
(24 reference statements)
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“…No mathematical theory has been developed yet to determine its optimal value. In most papers, the authors end up choosing this shape parameter by trial and error or some other ad hoc means [16,17].…”
Section: Reconstruction Algorithmmentioning
confidence: 99%
“…No mathematical theory has been developed yet to determine its optimal value. In most papers, the authors end up choosing this shape parameter by trial and error or some other ad hoc means [16,17].…”
Section: Reconstruction Algorithmmentioning
confidence: 99%
“…For highly non-uniform nodal distribution, the resultant ill conditionings in the coefficient matrices dominate the solution causing significant inaccuracies in the values of expansion coefficients(λ). These inaccuracies result in breakdown of solution during subsequent iteration process [14]. Therefore, severe limitations are imposed on the use of non-uniform or random particle distribution within the domain.…”
Section: Type Of Radial Basis Functionmentioning
confidence: 99%
“…Using a cross validation technique it is possible to obtain good solutions for the plate in bending problem, even with a reduced number of grid points, for regular and irregular node distributions. Gherlone et al proposed an algorithm that finds an optimal value of the shape parameter through a convergence analysis, inside a user-defined range [16].…”
Section: Introductionmentioning
confidence: 99%