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A Modified Radial Point Interpolation Method (M-RPIM) for Free Vibration Analysis of Two-Dimensional Solids

open access: yesMathematics, 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
doaj   +1 more source

Two-dimensional beams in rectangular coordinates using the radial point interpolation method

open access: yesREM: 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
doaj   +1 more source

The Meshfree Radial Point Interpolation Method (RPIM) for Wave Propagation Dynamics in Non-Homogeneous Media

open access: yesMathematics, 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
doaj   +1 more source

Radial Point Interpolation-Based Error Recovery Estimates for Finite Element Solutions of Incompressible Elastic Problems

open access: yesApplied Sciences, 2023
Error estimation and adaptive applications help to control the discretization errors in finite element analysis. The study implements the radial point interpolation (RPI)-based error-recovery approaches in finite element analysis.
Nabil Ben Kahla   +2 more
doaj   +1 more source

Radial point interpolation method and high-order continuation for solving nonlinear transient heat conduction problems

open access: yesComptes Rendus. Mécanique, 2020
In this work, we propose the investigation of unsteady nonlinear heat conduction by using the radial point interpolation method (RPIM) in high-order continuation coupled with homotopy transformation for the first time.
Mesmoudi, Said   +2 more
doaj   +1 more source

The Matlab Radial Basis Function Toolbox

open access: yesJournal of Open Research Software, 2017
Radial Basis Function (RBF) methods are important tools for scattered data interpolation and for the solution of Partial Differential Equations in complexly shaped domains.
Scott A. Sarra
doaj   +1 more source

New Approach for Radial Basis Function Based on Partition of Unity of Taylor Series Expansion with Respect to Shape Parameter

open access: yesAlgorithms, 2020
Radial basis function (RBF) is gaining popularity in function interpolation as well as in solving partial differential equations thanks to its accuracy and simplicity. Besides, RBF methods have almost a spectral accuracy.
Saleh A. Bawazeer   +2 more
doaj   +1 more source

SOLVE ABEL’S INTEGRAL EQUATION USING POINT INTERPOLATION MESHLESS METHOD [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2018
In this paper the numerical method for solving Abel,s integral equation are introduced ,this method is based on point interpolation meshless method. Also Radial basis function, zeros of the shifted Legendre polynomial as the collocation points utilized ...
Nahdh. S .m. Al-saif
doaj   +1 more source

On the Constrained Solution of RBF Surface Approximation

open access: yesMathematics, 2022
In this contribution, a scattered data approximation problem, chosen from the literature and using the Radial Basis Function (RBF) approach, is considered for the application of point cloud modelling.
Anastasia Pasioti
doaj   +1 more source

A modified radial basis function interpolation method for aerodynamic load application

open access: yesHangkong gongcheng jinzhan
Aerodynamic loads are an important type of load in finite element analysis of aircraft structures. Due to the mismatch between the mesh used in computational fluid dynamics(CFD)and the one in structural analysis, and the load can be given in the form of ...
ZHENG Wei, XIONG Jun, LIU Jian, JI Kai
doaj   +1 more source

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