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dc.contributor.authorRosolen, Adrián
dc.contributor.authorMillán, Daniel
dc.contributor.authorArroyo Balaguer, Marino
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2010-12-27T13:45:26Z
dc.date.available2010-12-27T13:45:26Z
dc.date.created14/05/2010
dc.date.issued2010-05-14
dc.identifier.citationRosolen, A.; Millán, D.; Arroyo, M. On the optimum support size in meshfree methods: a variational adaptivity approach with maximum-entropy approximants. "International journal for numerical methods in engineering", 14 Maig 2010, vol. 82, núm. 7, p. 868-895.
dc.identifier.issn0029-5981
dc.identifier.urihttp://hdl.handle.net/2117/10758
dc.description.abstractWe present a method for the automatic adaption of the support size of meshfree basis functions in the context of the numerical approximation of boundary value problems stemming from a minimum principle. The method is based on a variational approach, and the central idea is that the variational principle selects both the discretized physical fields and the discretization parameters, here those defining the support size of each basis function. We consider local maximum-entropy approximation schemes, which exhibit smooth basis functions with respect to both space and the discretization parameters (the node location and the locality parameters). We illustrate by the Poisson, linear and non-linear elasticity problems the effectivity of the method, which produces very accurate solutions with very coarse discretizations and finds unexpected patterns of the support size of the shape functions. Copyright 2009 John Wiley & Sons, Ltd.
dc.format.extent28 p.
dc.language.isoeng
dc.publisherWiley and Sons
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject.lcshMeshfree methods (Numerical analysis)
dc.subject.lcshDifferential equations, Partial
dc.subject.lcshMathematical optimization
dc.titleOn the optimum support size in meshfree methods: a variational adaptivity approach with maximum-entropy approximants
dc.typeArticle
dc.subject.lemacAnàlisi numèrica
dc.subject.lemacOptimització matemàtica
dc.subject.lemacEquacions diferencials
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1002/nme.2793
dc.relation.publisherversionhttps://onlinelibrary.wiley.com/doi/abs/10.1002/nme.2793
dc.rights.accessOpen Access
local.identifier.drac4465643
dc.description.versionPostprint (published version)
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/FP7/240487/EU/Predictive models and simulations in nano- and biomolecular mechanics: a multiscale approach/PREDMODSIM
local.citation.authorRosolen, A.; Millán, D.; Arroyo, M.
local.citation.publicationNameInternational journal for numerical methods in engineering
local.citation.volume82
local.citation.number7
local.citation.startingPage868
local.citation.endingPage895


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