An a priori error analysis of a porous strain gradient model

Cita com:
hdl:2117/351035
Document typeArticle
Defense date2022-01
PublisherWiley-VCH
Rights accessOpen Access
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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.
ISSN0044-2267
Publisher versionhttps://onlinelibrary.wiley.com/doi/10.1002/zamm.202100213
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