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The natural neighbour radial point interpolation method: dynamic applications

Engineering Computations, 2009
PurposeThe purpose of this paper is to extend the natural neighbour radial point interpolation method (NNRPIM) to the dynamic analysis (free vibrations and forced vibrations) of two‐dimensional, three‐dimensional and bending plate problems.Design/methodology/approachThe NNRPIM shape‐function construction is briefly presented, as are the dynamic ...
Dinis, L. M. J. S.   +2 more
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Dielectric boundary conditions with the meshless radial point interpolation method

2010 14th International Symposium on Antenna Technology and Applied Electromagnetics & the American Electromagnetics Conference, 2010
A systematic approach to incorporating dielectric boundary conditions in the meshless Radial Point Interpolation Method (RPIM) is presented in this paper. In the standard RPIM method, direct implementation of dielectric interface boundary conditions has posed a technical challenge as the radial basis function used for the local interpolation of field ...
null Yiqiang Yu, null Zhizhang Chen
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Numerical dispersion analysis of radial point interpolation meshless method

2017 Progress in Electromagnetics Research Symposium - Fall (PIERS - FALL), 2017
A general numerical dispersion relationship of the two-dimensional (2-D) radial point interpolation meshless (RPIM) method is deduced in detail in this paper. The characteristics of the numerical dispersion of the RPIM method based on Gaussian and Multiqudric basic functions are both observed.
Xiaoyan Zhang   +3 more
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Time‐domain vector potential technique for the meshless radial point interpolation method

International Journal for Numerical Methods in Engineering, 2015
SummaryA time‐domain meshless algorithm based on vector potentials is introduced for the analysis of transient electromagnetic fields. The proposed numerical algorithm is a modification of the radial point interpolation method, where radial basis functions are used for local interpolation of the vector potentials and their derivatives.
Shaterian, Z., Kaufmann, T., Fumeaux, C.
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Pricing and simulation for real estate index options: Radial basis point interpolation

Physica A: Statistical Mechanics and its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gong, Pu, Zou, Dong, Wang, Jiayue
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Radial point interpolation collocation method (RPICM) for the solution of nonlinear poisson problems

Computational Mechanics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, X., Liu, G.R., Tai, K., Lam, K.Y.
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MODIFIED CHOLESKY DECOMPOSITION FOR SOLVING THE MOMENT MATRIX IN THE RADIAL POINT INTERPOLATION METHOD

International Journal of Computational Methods, 2014
The radial point interpolation method is frequently employed in numerical computations. It can be used to interpolate scattered data, as shape functions in meshless methods and mesh deformation scheme, etc. The main problem in calculating the radial point interpolation is solving the moment matrix of the interpolation scheme, which is usually done with
Stadler, Domen   +3 more
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A scaled boundary radial point interpolation method for 2‐D elasticity problems

International Journal for Numerical Methods in Engineering, 2017
SummaryThe scaled boundary radial point interpolation method (SBRPIM), a new semi‐analytical technique, is introduced and applied to the analysis of the stress–strain problems. The proposed method combines the advantages of the scaled boundary finite element method and the boundary radial point interpolation method. In this method, no mesh is required,
Mohammad Hajiazizi, Adel Graili
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The Radial Point Interpolation Meshless Method for a Moderately Thick Plate

2012
Bending problem of moderately thick plate are analyzed by the radial point interpolation meshless method in this paper. The global Galerkin weak-form equation of isotropic moderately thick plate is established based on Mindlin plate theory and the minimum total potential energy principle.
Hu Weijun, Xia Ping
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Acceleration of Meshfree Radial Point Interpolation Method on Graphics Hardware

AIP Conference Proceedings, 2008
This article describes a parallel computational technique to accelerate radial point interpolation method (RPIM)‐based meshfree method using graphics hardware. RPIM is one of the meshfree partial differential equation solvers that do not require the mesh structure of the analysis targets.
openaire   +1 more source

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