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Formulation of pseudospectral meshless radial point Hermit interpolation for the Motz problem and comparison to pseudospectral meshless radial point interpolation

Multidiscipline Modeling in Materials and Structures, 2019
PurposeThe purpose of this paper is to develop pseudospectral meshless radial point Hermit interpolation (PSMRPHI) for applying to the Motz problem.Design/methodology/approachThe author aims to propose a kind of PSMRPHI method.FindingsBased on the Motz problem, the author aims also to compare PSMRPHI and PSMRPI which belong to more influence type of ...
Elyas Shivanian
exaly   +2 more sources

Comparison between the radial point interpolation and the Kriging interpolation used in meshfree methods

Computational Mechanics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K Y Dai, Gu Y T, Liu G R
exaly   +2 more sources

A point interpolation meshless method based on radial basis functions

International Journal for Numerical Methods in Engineering, 2002
AbstractA point interpolation meshless method is proposed based on combining radial and polynomial basis functions. Involvement of radial basis functions overcomes possible singularity associated with the meshless methods based on only the polynomial basis. This non‐singularity is useful in constructing well‐performed shape functions.
Wang, J.G., Liu, G.R.
exaly   +3 more sources

Meshfree simulations of acoustic problems by a radial point interpolation method

Ocean Engineering, 2020
Abstract The classical finite element approach cannot guarantee satisfactory accuracy for acoustic problems at large wavenumbers on account of the numerical pollution error effect. This negative effect stems from the fact that the approximate wavenumbers are usually in conflict with the real wavenumbers in many numerical methods.
Yingbin Chai, , Qiang Gui
exaly   +2 more sources

Meshfree radial point interpolation method for analysis of viscoplastic problems

Engineering Analysis With Boundary Elements, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M R Hematiyan, R Vaghefi
exaly   +2 more sources

The radial point interpolation method for plasma modeling

2017 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting, 2017
Meshless methods have proposed recently to solve electromagnetic problems for some advantages. This paper extends the meshless radial point interpolation method (RPIM) to the application of electromagnetics with the plasma media. The discretized equations for a plasma driven by an electric field is derived with the shape function expansion ...
Yang Wu   +2 more
openaire   +1 more source

Optimization of a Radial Point Interpolation Meshless strategy for strain gradient nanoplates

Engineering Analysis with Boundary Elements, 2022
A parameter optimization of the Radial Point Interpolation Meshless Method (RPIM) is presented in this work for solving the static bending analysis of Kirchhoff nanoplates which include the first order strain gradient theory. Optimization in meshless strategies is often required since shape parameters, of the Radial Basis Functions (RBFs) used ...
Saitta S.   +4 more
openaire   +4 more sources

Pricing European and American options by radial basis point interpolation

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jamal Amani Rad   +2 more
openaire   +3 more sources

A smoothed radial point interpolation method for application in porodynamics

Computational Mechanics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Schönewald, Anne   +2 more
openaire   +1 more source

On the Numerical Dispersion of the Radial Point Interpolation Meshless Method

IEEE Microwave and Wireless Components Letters, 2014
The numerical dispersion of the time-domain radial point interpolation meshless (RPIM) method is investigated in this letter. It is found that numerical dispersion relationship of RPIM method shares the same form as that of a second-order central finite-difference time-domain method but with the additional factor introduced by the radial basis ...
Shunchuan Yang   +3 more
openaire   +1 more source

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