To access the full text documents, please follow this link: http://hdl.handle.net/2117/10311
| 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 | Ródenas García, Juan José |
| dc.contributor.author | González Estrada, O. A. |
| dc.contributor.author | Díez, Pedro |
| dc.contributor.author | Fuenmayor, F. J. |
| dc.date | 2010-08-01 |
| dc.identifier.citation | Ródenas, J. [et al.]. Accurate recovery-based upper error bounds for the extended finite element framework. "Computer methods in applied mechanics and engineering", 01 Agost 2010, vol. 199, núm. 37-40, p. 2607-2621. |
| dc.identifier.citation | 0045-7825 |
| dc.identifier.citation | 10.1016/j.cma.2010.04.010 |
| dc.identifier.uri | http://hdl.handle.net/2117/10311 |
| dc.description.abstract | This paper introduces a recovery-type error estimator yielding upper bounds of the error in energy norm for linear elastic fracture mechanics problems solved using the extended finite element method (XFEM). The paper can be considered as an extension and enhancement of a previous work in which the upper bounds of the error were developed in a FEM framework. The upper bound property requires the recovered solution to be equilibrated and continuous. The proposed technique consists of using a recovery technique, especially adapted to the XFEM framework that yields equilibrium at a local level (patch by patch). Then a postprocess based on the partition of unity concept is used to obtain continuity. The result is a very accurate but only nearly-statically admissible recovered stress field, with small equilibrium defaults introduced by the postprocess. Sharp upper bounds are obtained using a new methodology accounting for the equilibrium defaults, as demonstrated by the numerical tests. |
| dc.language.iso | eng |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights | info:eu-repo/semantics/openAccess |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
| dc.subject | Finite element method |
| dc.subject | Mechanics--Problems, exercises, etc. |
| dc.subject | Numerical analysis |
| dc.subject | Fracture mechanics--Mathematical models |
| dc.subject | Elements finits, Mètode dels |
| dc.subject | Mecànica -- Problemes, exercicis, etc. |
| dc.subject | Anàlisi numèrica |
| dc.subject | Mecànica de fractura -- Models matemàtics |
| dc.title | Accurate recovery-based upper error bounds for the extended finite element framework |
| dc.type | info:eu-repo/semantics/publishedVersion |
| dc.type | info:eu-repo/semantics/article |
Related documents
Other documents of the same author
Nadal, E.; Díez, Pedro; Ródenas García, Juan José; Tur, M; Fuenmayor, F. J.
Nadal, Enrique; Chinesta, Francisco; Díez, Pedro; Fuenmayor, F. J.; Denia, F.D.
Díez, Pedro; Ródenas García, Juan José; Zienkiewicz, Olgierd Cecil
Ródenas García, Juan José; Bugeda Castelltort, Gabriel; Albelda, José; Oñate Ibáñez de Navarra, Eugenio; Nadal, E.
Bugeda Castelltort, Gabriel; Ródenas García, Juan José; Albelda, José; Oñate Ibáñez de Navarra, Eugenio