Results 21 to 30 of about 125,692 (287)

Partition of unity interpolation using stable kernel-based techniques [PDF]

open access: yes, 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
core   +1 more source

Application of Radial Point Interpolation Method to Temperature Field

open access: yesJournal 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
openaire   +2 more sources

Numerical simulations of a fully developed liquid-metal magnetohydrodynamic flow in a circular duct

open access: yesMATEC 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
doaj   +1 more source

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

High accuracy binary black hole simulations with an extended wave zone [PDF]

open access: yes, 2009
We present results from a new code for binary black hole evolutions using the moving-puncture approach, implementing finite differences in generalised coordinates, and allowing the spacetime to be covered with multiple communicating non-singular ...
A. Ashtekar   +10 more
core   +3 more sources

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

An advanced meshless technique for large deformation analysis of metal forming [PDF]

open access: yes, 2008
The large deformation analysis is one of major challenges in numerical modelling and simulation of metal forming. Although the finite element method (FEM) is a well-established method for modeling nonlinear problems, it often encounters difficulties for ...
Gu, YuanTong   +2 more
core   +3 more sources

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

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

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