On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries

•Large PHS+poly based RBF-FD stencils can lead to high orders of accuracy without numerical ill-conditioning.•It can also combine high orders of accuracy near boundaries with an absence of Runge-phenomenon-type boundary errors.•Numerical explanations to this behavior are provided based on a closed-f...

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Bibliographic Details
Published in:	Journal of computational physics Vol. 380; pp. 378 - 399
Main Authors:	Bayona, Víctor, Flyer, Natasha, Fornberg, Bengt
Format:	Journal Article
Language:	English
Published:	Cambridge Elsevier Inc 01.03.2019 Elsevier Science Ltd
Subjects:	Basis functions Boundaries Computational physics Cubic polyharmonic splines Finite difference method Ill-conditioned problems (mathematics) PHS Polynomials Radial basis function Radial basis functions RBF RBF-FD Runge's phenomenon Splines Radial basis functions RBF-FD PHS Runge's phenomenon RBF Cubic polyharmonic splines
ISSN:	0021-9991, 1090-2716
Online Access:	Get full text
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