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Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity

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Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity

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dc.contributor.author González Estrada, Octavio Andrés es_ES
dc.contributor.author Natarajan, S. es_ES
dc.contributor.author J.J. Ródenas es_ES
dc.contributor.author Nguyen-Xuan, H. es_ES
dc.contributor.author Bordas, S.P.A. es_ES
dc.date.accessioned 2013-07-26T09:13:19Z
dc.date.issued 2013-07
dc.identifier.issn 0178-7675
dc.identifier.uri http://hdl.handle.net/10251/31483
dc.description.abstract [EN] An error control technique aimed to assess the quality of smoothed finite element approximations is presented in this paper. Finite element techniques based on strain smoothing appeared in 2007 were shown to provide significant advantages compared to conventional finite element approximations. In particular, a widely cited strength of such methods is improved accuracy for the same computational cost. Yet, few attempts have been made to directly assess the quality of the results obtained during the simulation by evaluating an estimate of the discretization error. Here we propose a recovery type error estimator based on an enhanced recovery technique. The salient features of the recovery are: enforcement of local equilibrium and, for singular problems a ¿smooth + singular¿ decomposition of the recovered stress. We evaluate the proposed estimator on a number of test cases from linear elastic structural mechanics and obtain efficient error estimations whose effectivities, both at local and global levels, are improved compared to recovery procedures not implementing these features. es_ES
dc.description.sponsorship Stephane Bordas would like to thank the partial financial support of the Royal Academy of Engineering and of the Leverhulme Trust for his Senior Research Fellowship Towards the next generation surgical simulators as well as the financial support for Octavio A. Gonzalez-Estrada and Stephane Bordas from the UK Engineering Physical Science Research Council (EPSRC) under grant EP/G042705/1 Increased Reliability for Industrially Relevant Automatic Crack Growth Simulation with the eXtended Finite Element Method. Stephane Bordas also thanks partial financial support of the European Research Council Starting Independent Research Grant (ERC Stg grant agreement No. 279578) and the FP7 Initial Training Network Funding under grant number 289361 "Integrating Numerical Simulation and Geometric Design Technology, INSIST". This work has been carried out within the framework of the research project DPI2010-20542 of the Ministerio de Ciencia e Innovacion (Spain). The financial support from Universitat Politecnica de Valencia, PROMETEO/2012/023 and Generalitat Valenciana are also 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 Smoothed finite element method es_ES
dc.subject Error estimation es_ES
dc.subject Statical admissibility es_ES
dc.subject SPR-CX es_ES
dc.subject Singularity es_ES
dc.subject Recovery es_ES
dc.subject.classification INGENIERIA MECANICA es_ES
dc.title Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity es_ES
dc.type Artículo es_ES
dc.embargo.lift 10000-01-01
dc.embargo.terms forever es_ES
dc.identifier.doi 10.1007/s00466-012-0795-6
dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/289361/EU/Integrating Numerical Simulation and Geometric Design Technology/
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//DPI2010-20542/ES/DESARROLLO DE HERRAMIENTA 3D COMPUTACIONALMENTE EFICAZ Y DE ALTA PRECISION PARA ANALISIS Y DISEÑO ESTRUCTURAL BASADA EN MALLADOS CARTESIANOS DE EF INDEPENDIENTES DE GEOMETRIA/
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/
dc.relation.projectID info:eu-repo/grantAgreement/UKRI//EP%2FG042705%2F1/GB/Increased Reliability for Industrially Relevant Automatic Crack Growth Simulation with the eXtended Finite Element Method/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/RCUK/EPSRC/EP/G042705/1/GB/
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2012%2F023/ES/MODELADO NUMERICO AVANZADO EN INGENIERIA MECANICA/
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.description.bibliographicCitation González Estrada, OA.; Natarajan, S.; J.J. Ródenas; Nguyen-Xuan, H.; Bordas, S. (2013). Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity. Computational Mechanics. 52(1):37-52. https://doi.org/10.1007/s00466-012-0795-6 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s00466-012-0795-6 es_ES
dc.description.upvformatpinicio 37 es_ES
dc.description.upvformatpfin 52 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 52 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 237742
dc.contributor.funder Engineering and Physical Sciences Research Council, Reino Unido
dc.contributor.funder UK Research and Innovation es_ES
dc.contributor.funder European Research Council
dc.contributor.funder Ministerio de Ciencia e Innovación
dc.contributor.funder Universitat Politècnica de València
dc.contributor.funder Generalitat Valenciana
dc.contributor.funder European Commission
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