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An a priori error analysis of a porous strain gradient model

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10.1002/zamm.202100213
 
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hdl:2117/351035

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Baldonedo, Jacobo
Fernández, José Ramón
Magaña Nieto, AntonioMés informacióMés informacióMés informació
Quintanilla de Latorre, RamónMés informacióMés informacióMés informació
Document typeArticle
Defense date2022-01
PublisherWiley-VCH
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
ProjectANALISIS MATEMATICO APLICADO A LA TERMOMECANICA (AEI-PID2019-105118GB-I00)
Abstract
In this work, we consider, from the numerical point of view, a boundary-initial value problem for non-simple porous elastic materials. The mechanical problem is written as a coupled hyperbolic linear system in terms of the displacement and porosity fields. The resulting variational formulation is used to approximate the solution by the finite element method and the implicit Euler scheme. A discrete stability property and a priori error estimates are proved, from which the linear convergence of the numerical scheme is deduced under adequate regularity conditions. Finally, some numerical simulations are presented to show the accuracy of the finite element scheme studied previously, the evolution of the discrete energy and the behavior of the solution.
CitationBaldonedo, J. [et al.]. An a priori error analysis of a porous strain gradient model. "ZAMM: Zeitschrift fur Angewandte Mathematik und Mechanik", Gener 2022, vol. 102, núm. 1, article e202100152. 
URIhttp://hdl.handle.net/2117/351035
DOI10.1002/zamm.202100213
ISSN0044-2267
Publisher versionhttps://onlinelibrary.wiley.com/doi/10.1002/zamm.202100213
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