Error estimation for proper generalized decomposition solutions: dual analysis and adaptivity for quantities of interest

This is the peer reviewed version of the following article: Reis, J. [et al.]. Error estimation for proper generalized decomposition solutions: dual analysis and adaptivity for quantities of interest. "International journal for numerical methods in engineering", 15 Febrer 2021, vol. 122, n...

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Bibliographic Details
Authors: Reis, Jonatha, Almeida, José Paulo Moitinho de, Díez, Pedro|||0000-0001-6464-6407, Zlotnik, Sergio|||0000-0001-9674-8950
Format: article
Publication Date:2021
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/336847
Online Access:https://hdl.handle.net/2117/336847
https://dx.doi.org/10.1002/nme.6559
Access Level:Open access
Keyword:Numerical analysis
Strength of materials
equilibrium formulation
error bounds
error estimation
proper generalized decomposition
quantity of interest
Anàlisi numèrica
Resistència de materials
Classificació AMS::65 Numerical analysis::65G Error analysis and interval analysis
Classificació AMS::74 Mechanics of deformable solids::74S Numerical methods
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
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Summary:This is the peer reviewed version of the following article: Reis, J. [et al.]. Error estimation for proper generalized decomposition solutions: dual analysis and adaptivity for quantities of interest. "International journal for numerical methods in engineering", 15 Febrer 2021, vol. 122, núm. 3, p. 752-776, which has been published in final form at https://onlinelibrary.wiley.com/doi/10.1002/nme.6559. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.