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dc.creatorGatica, Gabriel N.
dc.creatorGómez Vargas, Bryan Andrés
dc.creatorRuiz Baier, Ricardo
dc.date.accessioned2022-04-19T14:36:53Z
dc.date.available2022-04-19T14:36:53Z
dc.date.issued2018
dc.identifier.citationwww.sciencedirect.com/science/article/abs/pii/S0045782518301671es_ES
dc.identifier.issn0045-7825
dc.identifier.urihttps://hdl.handle.net/10669/86446
dc.description.abstractWe analyse the solvability of a static coupled system of PDEs describing the diffusion of a solute into an elastic material, where the process is affected by the stresses exerted in the solid. The problem is formulated in terms of solid stress, rotation tensor, solid displacement, and concentration of the solute. Existence and uniqueness of weak solutions follow from adapting a fixed-point strategy decoupling linear elasticity from a generalised Poisson equation. We then construct mixed-primal and augmented mixed-primal Galerkin schemes based on adequate finite element spaces, for which we rigorously derive a priori error bounds. The convergence of these methods is confirmed through a set of computational tests in 2D and 3D.es_ES
dc.description.sponsorshipComisión Nacional de Investigación Científica y Tecnológica/[PFB03]/CONICYT/Chilees_ES
dc.description.sponsorshipUniversidad de Chile/[]//Chilees_ES
dc.description.sponsorshipBecas-Chile Programme/[21170275]//Chilees_ES
dc.description.sponsorshipUniversidad de Concepción/[]//Chilees_ES
dc.description.sponsorshipEngineering and Physical Sciences Research Council/[EP/R00207X/1]/EPSRC/Reino Unidoes_ES
dc.language.isoenges_ES
dc.sourceComputer Methods in Applied Mechanics and Engineering, vol.337, pp.411-438.es_ES
dc.subjectLinear elasticityes_ES
dc.subjectStress-assisted diffusiones_ES
dc.subjectMixed-primal formulationes_ES
dc.subjectFixed-point theoryes_ES
dc.subjectFinite element methodses_ES
dc.subjectA priori error boundses_ES
dc.titleAnalysis and mixed-primal finite element discretisations for stress-assisted diffusion problemses_ES
dc.typeartículo científicoes_ES
dc.identifier.doi10.1016/j.cma.2018.03.043
dc.description.procedenceUCR::Sedes Regionales::Sede de Occidentees_ES
dc.description.procedenceUCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemáticaes_ES


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