Comparing RBF-FD approximations based on stabilized Gaussians and on polyharmonic splines with polynomials-Reference-Cited by-同舟云学术

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Comparing RBF-FD approximations based on stabilized Gaussians and on polyharmonic splines with polynomials

Published:2018-04-23 Issue:4 Volume:115 Page:462-500
ISSN:0029-5981
Container-title:International Journal for Numerical Methods in Engineering
language:en
Short-container-title:Int J Numer Methods Eng

Author:

Santos L. G. C.¹^ORCID,Manzanares-Filho N.¹,Menon G. J.¹,Abreu E.²

Affiliation:

1. Institute of Mechanical Engineering; Federal University of Itajubá; Itajubá Brazil

2. Institute of Mathematics, Statistics and Computing Science; University of Campinas; Campinas Brazil

Funder

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fundação de Amparo à Pesquisa do Estado de São Paulo

CNPq/Universal

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Reference44 articles.

1. Multiquadric equations of topography and other irregular surfaces;Hardy;J Geophys,1971

2. Multiquadrics-a scattered data approximations and scheme with applications to computational fluid dynamics-I surface approximations and partial derivative estimates;Kansa;Comput Math Appl,1990

3. Multiquadrics-a scattered data approximations and scheme with applications to computational fluid dynamics-II solutions to parabolic, hyperbolic and elliptic partial differential equations;Kansa;Comput Math Appl,1990

4. RBF-FD formulas and convergence properties;Bayona;J Comput Phys,2010

5. Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations;Shu;Comput Methods Appl Mech Eng,2003

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