Results 11 to 20 of about 11,303 (260)
On the Asymptotics of Fekete-Type Points for Univariate Radial Basis Interpolation
Journal of Approximation Theory, 2002 Here the Fekete type points of an interpolation process are defined to be the set \(X_n= \{x_1,\dots,x_n\}\) of \(n+1\) points which maximize the the absolute value of the determinant of the associated interpolation matrix.
Len P. Bos, Ulrike Maier
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Hangkong gongcheng jinzhan, 2023 In order to avoid the problem that the support points selected by the traditional single absolute error criterion are not interpolated accurately when the heat flux is small the radial basis function is used for hypersonic heat flux interpolation.
HONG Haifeng, KANG Zhicong, XIE Liang
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On the Factors Affecting the Accuracy and Robustness of Smoothed-Radial Point Interpolation Method [PDF]
Advances in Applied Mathematics and Mechanics, 2017 Summary: In order to overcome the possible singularity associated with the Point Interpolation Method (PIM), the Radial Point Interpolation Method (RPIM) was proposed by \textit{G. R. Liu} and \textit{Y. T. Gu} [Int. J. Numer. Methods Eng. 50, No. 4, 937--951 (2001; Zbl 1050.74057)].
Hamrani, Abderrachid +3 more
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Meshless Radial Point Interpolation Method for Hyperelastic Materials
Kalpa Publications in Engineering, 2020 Hyperelastic materials are special types of material that tends to behavior elastically when they are subjected to very large strains. These materials show not only the nonlinear material behavior but also the large deformation and stress-strain relationship is derived from a strain energy density function.
Trong Khiem Bui +3 more
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Piecewise Bivariate Hermite Interpolations for Large Sets of Scattered Data
Journal of Applied Mathematics, 2013 The requirements for interpolation of scattered data are high accuracy and high efficiency. In this paper, a piecewise bivariate Hermite interpolant satisfying these requirements is proposed.
Renzhong Feng, Yanan Zhang
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Energy Reports, 2022 Efficient electro-thermal coupling calculation is of great significance to the monitoring and structural design of power equipment. Finite element method (FEM) is one of the powerful tools of electro-thermal analysis and is widely used in various fields.
Yi Yang +3 more
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Meshless Analysis of an Embankment Using Local Galerkin Radial Point Interpolation Method (LGRPIM)
Communications, 2013 The paper deals with use of the meshless method for slope stability analysis. There are many formulations of the meshless methods. The article presents the Local Galerkin Radial Point Interpolation method (LGRPIM) - local weak formulation of the ...
Juraj Muzik +2 more
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Mathematics, 2021 The study develops the displacement error recovery method in a mesh free environment for the finite element solution employing the radial point interpolation (RPI) technique. The RPI technique uses the radial basis functions (RBF), along with polynomials
Mohd. Ahmed +3 more
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Application of Radial Point Interpolation Method to Temperature Field
Journal of Mathematics Research, 2010 A point interpolation which bases on the radial function is a new meshless method. It is advantageous over the originalPIM with polynomial basis in avoiding singularity when shape functions are constructed. It is also easy to deal withessential boundary for its property of Kronecher Delta function.
Yu Chen +3 more
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Numerical simulations of a fully developed liquid-metal magnetohydrodynamic flow in a circular duct
MATEC Web of Conferences, 2015 In this paper, a kind of new meshless method, two-level radial point interpolation method, has been developed to analyze the fully developed liquid-metal Magnetohydrodynamic (MHD) flow under the externally applied magnetic field in a circular duct with ...
Xinghui Cai +4 more
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