Results 11 to 20 of about 117,133 (285)
On the Factors Affecting the Accuracy and Robustness of Smoothed-Radial Point Interpolation Method [PDF]
Advances in Applied Mathematics and Mechanics, 2016 AbstractIn order to overcome the possible singularity associated with the Point Interpolation Method (PIM), the Radial Point Interpolation Method (RPIM) was proposed by G. R. Liu. Radial basis functions (RBF) was used in RPIM as basis functions for interpolation. All these radial basis functions include shape parameters.
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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Mathematics, 2022 The classical radial point interpolation method (RPIM) is a powerful meshfree numerical technique for engineering computation. In the original RPIM, the moving support domain for the quadrature point is usually employed for the field function ...
Tingting Sun +3 more
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Mathematics, 2023 This work presents a novel simulation approach to couple the meshfree radial point interpolation method (RPIM) with the implicit direct time integration method for the transient analysis of wave propagation dynamics in non-homogeneous media.
Cong Liu +3 more
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Ain Shams Engineering Journal, 2016 In this paper, the meshless local radial point interpolation (MLRPI) method is applied to one-dimensional inverse heat conduction problems. The meshless LRPIM is one of the truly meshless methods since it does not require any background integration cells.
Elyas Shivanian +1 more
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Elastoplastic Analysis of Frame Structures Using Radial Point Interpolation Meshless Methods
Applied Sciences, 2023 The need to design structures and structural elements that are more efficient in terms of performance is a key aspect of engineering. For a given material to be used at its maximum capacity, considering non-linear characteristics is mandatory.
Jorge Belinha +2 more
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Partition of unity interpolation using stable kernel-based techniques [PDF]
, 2016 In this paper we propose a new stable and accurate approximation technique which is extremely effective for interpolating large scattered data sets.
Cavoretto, R. +4 more
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Two-dimensional beams in rectangular coordinates using the radial point interpolation method
REM: International Engineering Journal, 2019 The three-dimensional Theory of Elasticity equations lead to a complex solution for most problems in engineering. Therefore, the solutions are typically developed for reduced systems, usually symmetrical or two-dimensional. In this context, computational
William Luiz Fernandes +4 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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An efficient meshless radial point collocation method for nonlinear p-Laplacian equation
Boundary Value Problems, 2020 This paper considered the spectral meshless radial point interpolation (SMRPI) method to unravel for the nonlinear p-Laplacian equation with mixed Dirichlet and Neumann boundary conditions.
Samaneh Soradi-Zeid +2 more
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