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Title: Residual error based adaptive method with an optimal variable scaling parameter for RBF interpolation
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Group publication title:
Abstract:
In infinitely smooth Radial Basis Function (RBF) based interpolation, the scaling parameter plays an important role to obtain an accurate and stable numerical solution. When this method is applied to interpolate a function with sharp gradients, then adaptive methods will also play a significant role in determining an optimal number of centers according to the user desired accuracy. ; In this article, we test an optimization algorithm developed using the nonlinear optimization to find a scaling parameter for RBF along with an adaptive residual subsampling method [1] RBF interpolation. In this process, at each stage of adoption, the available optimal shape parameters have been obtained by solving the system of non-linear equations.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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Pages:
Source:
IJAME, volume 28, number 1 (2023)
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License CC BY-NC-ND 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Mechanical Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2023)
Last modified:
Jul 6, 2023
In our library since:
May 17, 2023
Number of object content hits:
105
All available object's versions:
https://zbc.uz.zgora.pl/publication/81686
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International Journal of Applied Mechanics and Engineering (IJAME)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 28 (2023)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 28, number 1 (2023)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 28, number 1 (2023) - Contents
- Variable thermal conductivity in micropolar thermoelastic medium without energy dissipation possessing cubic symmetry
- Magnetohydrodynamic flow around an elongated cylinder in non-Darcian porous regime with higher order chemical reaction and Soret/Dufour effects
- Identification based on a finite element model of an impact force occurring on a composite structure
- Residual error based adaptive method with an optimal variable scaling parameter for RBF interpolation
- Evaluation of YLT method to estimate the load carrying capacity of one-way patched reinforced concrete slab under concentrated load
- Rayleigh wave propagation in isotropic sandy layer sliding over isotropic sandy semi-infinite medium with sliding contact
- Similarity solution for MHD nanofluid flow with heat generation in the presence of radiation and chemical reaction effects
- Effect of soil consolidation on the fractality of the filtration law
- Rheological behavior of polymer-based drilling fluids: experimental study of temperature effects
- Determination of the critical velocity of a straight wing with a high aspect ratio
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International Journal of Applied Mechanics and Engineering (IJAME), volume 28, number 2 (2023)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 28, number 3 (2023)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 28, number 4 (2023)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 28, number 1 (2023)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 27 (2022)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 26 (2021)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25 (2020)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 24 (2019)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 23 (2018)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 22 (2017)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 19 (2014)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
| Edition name | Date |
|---|---|
| Residual error based adaptive method with an optimal variable scaling parameter for RBF interpolation | Jul 6, 2023 |
