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Enhanced error estimator based on a nearly equilibrated moving least squares recovery technique for FEM and XFEM

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Enhanced error estimator based on a nearly equilibrated moving least squares recovery technique for FEM and XFEM

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dc.contributor.author Ródenas, J.J. es_ES
dc.contributor.author González Estrada, Octavio Andrés es_ES
dc.contributor.author Fuenmayor Fernández, Francisco Javier es_ES
dc.contributor.author Chinesta, F. es_ES
dc.date.accessioned 2013-07-26T09:09:16Z
dc.date.issued 2012
dc.identifier.issn 0178-7675
dc.identifier.uri http://hdl.handle.net/10251/31482
dc.description.abstract In this paper a new technique aimed to obtain accurate estimates of the error in energy norm using a moving least squares (MLS) recovery-based procedure is presented. In the techniques based on the superconvergent patch recovery (SPR) the continuity of the recovered field is provided by the shape functions of the underlying mesh. We explore the capabilities of a recovery technique based on an MLS fitting, more flexible than SPR techniques as it directly provides continuous interpolated fields without relying on any FE mesh, to obtain estimates of the error in energy norm as an alternative to SPR. In the enhanced MLS proposed in the paper, boundary equilibrium is enforced using a nearest point approach that modifies the MLS functional. Lagrange multipliers are used to impose a nearly exact satisfaction of the internal equilibrium equation. The numerical results indicate the high accuracy of the proposed error. es_ES
dc.description.sponsorship This work has been carried within the framework of the research project DPI2010-20542 of the Ministerio de Ciencia y e Innovacion (Spain). The financial support of the Universitat Politecnica de Valencia and Generalitat Valenciana (PROMETEO/2012/023) is also acknowledged. Support from the EPSRC grant EP/G042705/1 "Increased Reliability for Industrially Relevant Automatic Crack Growth Simulation with the eXtended Finite Element Method", the European Research Council Starting Independent Research Grant (ERC Stg grant agreement No. 279578) "RealTCut Towards real time multi-scale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery" and partial support of the Framework Programme 7 Initial Training Network Funding under grant number 289361 "Integrating Numerical Simulation and Geometric Design Technology (INSIST)" are acknowledged. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag es_ES
dc.relation.ispartof Computational Mechanics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Error estimation es_ES
dc.subject Equilibrated stresses es_ES
dc.subject Stress recovery es_ES
dc.subject Extended finite element method es_ES
dc.subject Moving least squares es_ES
dc.subject.classification INGENIERIA MECANICA es_ES
dc.title Enhanced error estimator based on a nearly equilibrated moving least squares recovery technique for FEM and XFEM es_ES
dc.type Artículo es_ES
dc.embargo.lift 10000-01-01
dc.embargo.terms forever es_ES
dc.identifier.doi 10.1007/s00466-012-0814-7
dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/279578/EU/Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery/ en_EN
dc.relation.projectID info:eu-repo/grantAgreement/RCUK/EPSRC/EP/G042705/1/GB/
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Ingeniería Mecánica y de Materiales - Departament d'Enginyeria Mecànica i de Materials es_ES
dc.contributor.affiliation Universitat Politècnica de València. Centro de Investigación en Tecnología de Vehículos - Centre d'Investigació en Tecnologia de Vehicles es_ES
dc.description.bibliographicCitation Ródenas, J.; González Estrada, OA.; Fuenmayor Fernández, FJ.; Chinesta, F. (2012). Enhanced error estimator based on a nearly equilibrated moving least squares recovery technique for FEM and XFEM. Computational Mechanics. 52(2):321-344. https://doi.org/10.1007/s00466-012-0814-7 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s00466-012-0814-7 es_ES
dc.description.upvformatpinicio 321 es_ES
dc.description.upvformatpfin 344 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 52 es_ES
dc.description.issue 2 es_ES
dc.relation.senia 237753
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