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A point interpolation meshless method based on radial basis functions
International Journal for Numerical Methods in Engineering, 2002AbstractA 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.
J G Wang, G R Liu
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Meshfree simulations of acoustic problems by a radial point interpolation method
Ocean Engineering, 2020Abstract 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.
Xiangyu You, Qiang Gui, Qifan Zhang
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Meshfree radial point interpolation method for analysis of viscoplastic problems
Engineering Analysis With Boundary Elements, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M R Hematiyan, Reza Vaghefi
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The radial point interpolation method for plasma modeling
2017 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting, 2017Meshless 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
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Optimization of a Radial Point Interpolation Meshless strategy for strain gradient nanoplates
Engineering Analysis with Boundary Elements, 2022A 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
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Pricing European and American options by radial basis point interpolation
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jamal Amani Rad +2 more
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A smoothed radial point interpolation method for application in porodynamics
Computational Mechanics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Schönewald, Anne +2 more
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On the Numerical Dispersion of the Radial Point Interpolation Meshless Method
IEEE Microwave and Wireless Components Letters, 2014The 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
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Fracture propagation using the radial point interpolation method
Fatigue & Fracture of Engineering Materials & Structures, 2019AbstractThis work presents a crack path prediction algorithm combined with the radial point interpolation method (RPIM), a meshless method. To allow easier implementation in existing structural analysis software, this algorithm is numerically compatible with finite element method (FEM) formulations.
Luís D.C. Ramalho +2 more
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International Journal of Computational Methods, 2019
This paper develops pseudospectral meshless radial point Hermit interpolation (PSMRPHI) and pseudospectral meshless radial point interpolation (PSMRPI) in order to apply to the elliptic partial differential equations (PDEs) held on irregular domains subject to impedance (convective) boundary conditions.
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This paper develops pseudospectral meshless radial point Hermit interpolation (PSMRPHI) and pseudospectral meshless radial point interpolation (PSMRPI) in order to apply to the elliptic partial differential equations (PDEs) held on irregular domains subject to impedance (convective) boundary conditions.
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