Publication:
Gaussian RBF-FD weights and its corresponding local truncation errors

Simple item page
dc.affiliation.institutoUC3M. Instituto Universitario sobre Modelización y Simulación en Fluidodinámica, Nanociencia y Matemática Industrial Gregorio Millán Barbanyes
dc.contributor.authorBayona Revilla, Víctor
dc.contributor.authorMoscoso, Miguel
dc.contributor.authorKindelan Segura, Manuel
dc.contributor.funderComunidad de Madrides
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es
dc.date.accessioned2023-01-20T13:39:47Z
dc.date.available2023-01-20T13:39:47Z
dc.date.issued2012-09
dc.description.abstractIn this work we derive analytical expressions for the weights of Gaussian RBF-FD and Gaussian RBF-HFD formulas for some differential operators. These weights are used to derive analytical expressions for the leading order approximations to the local truncation error in powers of the inter-node distance h and the shape parameter є. We show that for each differential operator, there is a range of values of the shape parameter for which RBF-FD formulas and RBF-HFD formulas are significantly more accurate than the corresponding standard FD formulas. In fact, very often there is an optimal value of the shape parameter є+ for which the local error is zero to leading order. This value can be easily computed from the analytical expressions for the leading order approximations to the local error. Contrary to what is generally believed, this value is, to leading order, independent of the internodal distance and only dependent on the value of the function and its derivatives at the node.en
dc.description.sponsorshipThis work has been supported by Spanish MICINN Grants FIS2010-18473, CSD2010-00011 and by Madrid Autonomous Region Grant S2009-1597. M.K. acknowledges Fundacion Caja Madrid for its financial support.en
dc.format.extent9
dc.identifier.bibliographicCitationBayona, V., Moscoso, M., & Kindelan, M. (2012). Gaussian RBF-FD weights and its corresponding local truncation errors. Engineering Analysis with Boundary Elements, 36(9), 1361-1369.en
dc.identifier.doihttps://doi.org/10.1016/j.enganabound.2012.03.010
dc.identifier.issn0955-7997
dc.identifier.publicationfirstpage1361
dc.identifier.publicationissue9
dc.identifier.publicationlastpage1369
dc.identifier.publicationtitleEngineering Analysis with Boundary Elementsen
dc.identifier.publicationvolume36
dc.identifier.urihttps://hdl.handle.net/10016/36343
dc.identifier.uxxiAR/0000010019
dc.language.isoeng
dc.publisherElsevieren
dc.relation.projectIDGobierno de España. FIS2010-18473es
dc.relation.projectIDGobierno de España. CSD2010-00011es
dc.relation.projectIDComunidad de Madrid. S2009-1597es
dc.rights© 2012 Elsevier Ltd. All rights reserved.en
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaMatemáticases
dc.subject.otherRadial basis functionsen
dc.subject.otherMultiquadricen
dc.subject.otherRBF-FDen
dc.subject.otherShape parameteren
dc.titleGaussian RBF-FD weights and its corresponding local truncation errorsen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Gaussian_EABE_2012_ps.pdf
Size:
1.3 MB
Format:
Adobe Portable Document Format
Download
Collections
IGMB - Artículos de Revistas