Enhanced anisotropic radius basis function metamodel based on recursive evolution Latin hypercube design and fast K-fold cross-validation
Metamodels are popular approaches to improve design efficiency in practical-engineering
problems through replacing the time-consuming simulation models with easy-to-evaluate …
problems through replacing the time-consuming simulation models with easy-to-evaluate …
[HTML][HTML] The sample solution approach for determination of the optimal shape parameter in the Multiquadric function of the Kansa method
The Kansa method with the Multiquadric-radial basis function (MQ-RBF) is inherently
meshfree and can achieve an exponential convergence rate if the optimal shape parameter …
meshfree and can achieve an exponential convergence rate if the optimal shape parameter …
[HTML][HTML] Optimal variable shape parameters using genetic algorithm for radial basis function approximation
F Afiatdoust, M Esmaeilbeigi - Ain Shams Engineering Journal, 2015 - Elsevier
Many radial basis function (RBF) methods contain free shape parameter or parameters that
play an important role for the accuracy of the method. In most papers the authors end up …
play an important role for the accuracy of the method. In most papers the authors end up …
[HTML][HTML] Development of the Kansa method for solving seepage problems using a new algorithm for the shape parameter optimization
In this research, the Kansa or Multiquadric method (MQ) has been developed for solving the
seepage problems in 2D and 3D arbitrary domains. This research is the first application of …
seepage problems in 2D and 3D arbitrary domains. This research is the first application of …
Local meshless methods for second order elliptic interface problems with sharp corners
In the present paper, we develop a local meshless procedure for solving a steady state two-
dimensional interface problem having discontinuous coefficients and curved interfaces with …
dimensional interface problem having discontinuous coefficients and curved interfaces with …
[HTML][HTML] Evaluating RBF methods for solving PDEs using Padua points distribution
M Koushki, E Jabbari, M Ahmadinia - Alexandria Engineering Journal, 2020 - Elsevier
Abstract In Radial Basis Functions (RBFs) methods, the distribution and the number of points
have a significant effect on the accuracy, stability, and computational costs. Padua …
have a significant effect on the accuracy, stability, and computational costs. Padua …
Meshless analysis of nonlocal boundary value problems in anisotropic and inhomogeneous media
In this work, meshless methods based on a radial basis function (RBF) are applied for the
solution of two-dimensional steady-state heat conduction problems with nonlocal multi-point …
solution of two-dimensional steady-state heat conduction problems with nonlocal multi-point …
Doubly stochastic radial basis function methods
We propose a doubly stochastic radial basis function (DSRBF) method for function
recoveries. Instead of a constant, we treat the RBF shape parameters as stochastic variables …
recoveries. Instead of a constant, we treat the RBF shape parameters as stochastic variables …
[图书][B] On the selection of a good shape parameter for RBF approximation and its application for solving PDEs
LH Kuo - 2015 - search.proquest.com
Abstract Meshless methods utilizing Radial Basis Functions (RBFs) are a numerical method
that require no mesh connections within the computational domain. They are useful for …
that require no mesh connections within the computational domain. They are useful for …
Meshless analysis of elliptic interface boundary value problems
M Ahmad - Engineering Analysis with Boundary Elements, 2018 - Elsevier
In the present paper, Multiquadric radial basis function (MQ RBF) and its integrated form are
used to construct collocation methods for numerical solution of two-dimensional elliptic …
used to construct collocation methods for numerical solution of two-dimensional elliptic …