Title:
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Computable bounds of functional outputs in linear visco-elastodynamics
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Author:
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Verdugo Rojano, Francesc; Díez, Pedro
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
Abstract:
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This work presents a new technique yielding computable bounds of quantities of interest
in the framework of linear visco-elastodynamics. A novel expression for the error
representation is introduced, alternative to the previous ones using the Cauchy-Schwarz
inequality. The proposed formulation utilizes symmetrized forms of the error equations
to derive error bounds in terms of energy error measures. The practical implementation
of the method is based on constructing admissible elds for both the original problem
and the adjoint problem associated with the quantity of interest. Here, the
ux-free
technique is considered to compute the admissible stress elds. The proposed methodology
yields estimates with better quality than the ones based on the Cauchy-Schwarz
inequality. In the studied examples the bound gaps obtained are approximately halved,
that is the estimated intervals of con dence are reduced. |
Abstract:
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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Física::Física de l'estat sòlid -Strength of materials -Elastic solids -Resistència de materials -Elasticitat -74B Elastic materials |
Rights:
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Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Document type:
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Article - Published version Article |
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