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Víctor Bayona
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On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy
N Flyer, B Fornberg, V Bayona, GA Barnett
Journal of Computational Physics 321, 21-38, 2016
2542016
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
V Bayona, N Flyer, B Fornberg, GA Barnett
Journal of Computational Physics 332, 257-273, 2017
2282017
RBF-FD formulas and convergence properties
V Bayona, M Moscoso, M Carretero, M Kindelan
Journal of Computational Physics 229 (22), 8281-8295, 2010
1952010
Optimal constant shape parameter for multiquadric based RBF-FD method
V Bayona, M Moscoso, M Kindelan
Journal of Computational Physics 230 (19), 7384-7399, 2011
1542011
Optimal variable shape parameter for multiquadric based RBF-FD method
V Bayona, M Moscoso, M Kindelan
Journal of Computational Physics 231 (6), 2466-2481, 2012
782012
On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries
V Bayona, N Flyer, B Fornberg
Journal of Computational Physics 380, 378-399, 2019
682019
An insight into RBF-FD approximations augmented with polynomials
V Bayona
Computers & Mathematics with Applications 77 (9), 2337-2353, 2019
672019
Gaussian RBF-FD weights and its corresponding local truncation errors
V Bayona, M Moscoso, M Kindelan
Engineering analysis with boundary elements 36 (9), 1361-1369, 2012
522012
A 3-D RBF-FD solver for modeling the atmospheric global electric circuit with topography (GEC-RBFFD v1. 0)
V Bayona, N Flyer, GM Lucas, AJG Baumgaertner
Geoscientific Model Development 8 (10), 3007-3020, 2015
472015
Improving the inter-hemispheric gradient of total column atmospheric CO2 and CH4 in simulations with the ECMWF semi-Lagrangian atmospheric global model
A Agusti-Panareda, M Diamantakis, V Bayona, F Klappenbach, A Butz
Geoscientific Model Development 10 (1), 1-18, 2017
412017
Comparison of moving least squares and RBF+ poly for interpolation and derivative approximation
V Bayona
Journal of Scientific Computing 81, 486-512, 2019
302019
Laurent series based RBF-FD method to avoid ill-conditioning
P Gonzalez-Rodriguez, V Bayona, M Moscoso, M Kindelan
Engineering Analysis with Boundary Elements 52, 24-31, 2015
292015
Optimal shape parameter for the solution of elastostatic problems with the RBF method
S Simonenko, V Bayona, M Kindelan
Journal of Engineering Mathematics 85, 115-129, 2014
242014
Analysis of the diurnal variation of the global electric circuit obtained from different numerical models
J Jánský, GM Lucas, C Kalb, V Bayona, MJ Peterson, W Deierling, N Flyer, ...
Journal of Geophysical Research: Atmospheres 122 (23), 12,906-12,917, 2017
14*2017
Propagation of premixed laminar flames in 3D narrow open ducts using RBF-generated finite differences
V Bayona, M Kindelan
Combustion Theory and Modelling 17 (5), 789-803, 2013
132013
Application of the RBF meshless method to laminar flame propagation
M Kindelan, V Bayona
Engineering Analysis with Boundary Elements 37 (12), 1617-1624, 2013
82013
An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations
I Tominec, PF Villard, E Larsson, V Bayona, N Cacciani
Journal of Computational Physics 469, 111496, 2022
72022
Micro-combustion modelling with RBF-FD: A high-order meshfree method for reactive flows in complex geometries
V Bayona, M Sánchez-Sanz, E Fernández-Tarrazo, M Kindelan
Applied Mathematical Modelling 94, 635-655, 2021
72021
Using local PHS+ poly approximations for Laplace Transform Inversion by Gaver-Stehfest algorithm
R Campagna, V Bayona Revilla, S Cuomo
Padova University Press, 2020
32020
A 3-D RBF-FD elliptic solver for irregular boundaries: modeling the atmospheric global electric circuit with topography.
V Bayona, N Flyer, GM Lucas, AJG Baumgaertner
Geoscientific Model Development Discussions 8 (4), 2015
32015
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Artikelen 1–20