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Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error

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Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error

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Nombre: Díez;Ródenas;Zien ...
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dc.contributor.author Díez, P. es_ES
dc.contributor.author Ródenas, Juan José es_ES
dc.contributor.author Zienkiewicz, Olgierd C. es_ES
dc.date.accessioned 2020-04-17T12:52:28Z
dc.date.available 2020-04-17T12:52:28Z
dc.date.issued 2007 es_ES
dc.identifier.issn 0029-5981 es_ES
dc.identifier.uri http://hdl.handle.net/10251/140982
dc.description.abstract [EN] This paper introduces a new recovery-type error estimator ensuring local equilibrium and yielding a guaranteed upper bound of the error. The upper bound property requires the recovered solution to be both statically equilibrated and continuous. The equilibrium is obtained locally (patch-by-patch) and the continuity is enforced by a postprocessing based on the partition of the unity concept. This postprocess is expected to preserve the features of the locally equilibrated stress field. Nevertheless, the postprocess phase modifies the equilibrium, which is no longer exactly fulfilled. A new methodology is introduced that yields upper bound estimates by taking into account this lack of equilibrium. This requires computing the L-2 norm of the error or relating it with the energy norm. The guaranteed upper bounds are obtained by using a pessimistic bound of the error L-2 norm, derived from an eigenvalue problem. Nevertheless, these bounds are not sharp. An additional strategy based on a more accurate assessment of the error L-2 norm is introduced, providing sharp estimates, which are practical upper bounds as it is demonstrated in the numerical tests. es_ES
dc.description.sponsorship Contract/grant sponsor: Ministerio de Educación y Ciencia; contract/grant numbers: DPI2004-03000, CGL2004-06171-C03-01/CLI, DPI2004-07782-C02-02 Contract/grant sponsor: Universidad Politécnica de Valencia and Generalitat Valenciana es_ES
dc.language Inglés es_ES
dc.publisher John Wiley & Sons es_ES
dc.relation.ispartof International Journal for Numerical Methods in Engineering es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Error estimates es_ES
dc.subject Stress recovery es_ES
dc.subject Equilibrated stresses es_ES
dc.subject Upper bounds es_ES
dc.subject.classification INGENIERIA MECANICA es_ES
dc.title Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1002/nme.1837 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MEC//CGL2004-06171-C03-01/ES/MODELIZACION Y SIMULACION NUMERICA EN TIEMPO REAL DE LA CONTAMINACION ATMOSFERICA POR EMISIONES PUNTUALES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MEC//DPI2004-03000/ES/Modelización numérica para el Diseño Industrial/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MEC//DPI2004-07782-C02-02/ES/ANALISIS DE FRETTING-FATIGA MEDIANTE METODOLOGIAS AVANZADAS DE ELEMENTOS FINITOS/ es_ES
dc.rights.accessRights Cerrado 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 Díez, P.; Ródenas, JJ.; Zienkiewicz, OC. (2007). Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error. International Journal for Numerical Methods in Engineering. 69(10):2075-2098. https://doi.org/10.1002/nme.1837 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1002/nme.1837 es_ES
dc.description.upvformatpinicio 2075 es_ES
dc.description.upvformatpfin 2098 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 69 es_ES
dc.description.issue 10 es_ES
dc.relation.pasarela S\30346 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Educación y Ciencia es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
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