Víctor Bayona
TitleCited byYear
RBF-FD formulas and convergence properties
V Bayona, M Moscoso, M Carretero, M Kindelan
Journal of Computational Physics 229 (22), 8281-8295, 2010
1162010
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
1032011
On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy
N Flyer, B Fornberg, V Bayona, G Barnett
Journal of Computational Physics 321, 21-38, 2016
732016
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
592017
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
512012
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
252012
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
182015
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
172017
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
172015
Optimal shape parameter for the solution of elastostatic problems with the RBF method
S Simonenko, V Bayona, M Kindelan
Journal of Engineering Mathematics 85 (1), 115-129, 2014
132014
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
92013
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
52019
An insight into RBF-FD approximations augmented with polynomials
V Bayona
Computers & Mathematics with Applications 77 (9), 2337-2353, 2019
42019
Application of the RBF meshless method to laminar flame propagation
M Kindelan, V Bayona
Engineering Analysis with Boundary Elements 37 (12), 1617-1624, 2013
42013
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
32017
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
22015
Comparison of Moving Least Squares and RBF+ poly for Interpolation and Derivative Approximation
V Bayona
Journal of Scientific Computing, 1-27, 2019
2019
Model Simulations of the Diurnal and Seasonal Variations of the Global Electric Circuit Using a Consistent 3D Model Framework
G Lucas, V Bayona, N Flyer, AJG Baumgaertner, JP Thayer
AGU Fall Meeting Abstracts, 2014
2014
Laminar flame propagation modeling using the Radial Basis Function (RBF) method
V Bayona, M Kindelan
Boundary Elements and Other Mesh Reduction Methods XXXV 54, 67, 2013
2013
Analysis of diurnal variation and role of lightning in the global electric circuit obtained from different numerical models
J Jánský, GM Lucas, C Kalb, V Bayona, MJ Peterson, W Deierling, N Flyer, ...
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Articles 1–20