Goal oriented error estimation for the element free Galerkin method

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/8547

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.contributor	Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.contributor.author	Vidal Seguí, Yolanda
dc.contributor.author	Huerta, Antonio
dc.date	2007-06
dc.identifier.citation	Vidal, Y.; Huerta, A. Goal oriented error estimation for the element free Galerkin method. "Lecture notes in computational science and engineering", Juny 2007, vol. 57, The original publication is available at http://www.springerlink.com/content/m4540m3012612716/, p. 265-282.
dc.identifier.citation	1439-7358
dc.identifier.citation	10.1007/978-3-540-46222-4_16
dc.identifier.uri	http://hdl.handle.net/2117/8547
dc.language.iso	eng
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject	Galerkin methods
dc.subject	Boundary element methods
dc.subject	Element Free Galerkin
dc.subject	mesh-free methods
dc.subject	error estimation
dc.subject	engineering outputs
dc.subject	residual based estimators
dc.subject	Elements de contorn, Mètode dels
dc.subject	Galerkin, Mètodes de
dc.title	Goal oriented error estimation for the element free Galerkin method
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	A novel approach for implicit residual-type error estimation in meshfree methods is presented. This allows to compute upper and lower bounds of the error in energy norm with the ultimate goal of obtaining bounds for outputs of interest. The proposed approach precludes the main drawbacks of standard residual type estimators circumventing the need of flux-equilibration and resulting in a simple implementation that avoids integrals on edges/sides of a domain decomposition (mesh). This is especially interesting for mesh-free methods.
dc.description.abstract	Peer Reviewed

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