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Numerical analysis of a type III thermo-porous-elastic problem with microtemperatures
dc.contributor.author | Bazarra, Noelia |
dc.contributor.author | Fernández, Jose R. |
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2020-09-03T10:49:24Z |
dc.date.available | 2021-08-11T00:28:13Z |
dc.date.issued | 2020-09-01 |
dc.identifier.citation | Bazarra, N.; Fernández, J.; Quintanilla, R. Numerical analysis of a type III thermo-porous-elastic problem with microtemperatures. "Computational and applied mathematics", 1 Setembre 2020, vol. 39, núm. 3, p. 242-1-242-27. |
dc.identifier.issn | 0101-8205 |
dc.identifier.uri | http://hdl.handle.net/2117/328344 |
dc.description.abstract | In this work, we consider, from the numerical point of view, a poro-thermoelastic problem. The thermal law is the so-called of type III and the microtemperatures are also included into the model. The variational formulation of the problem is written as a linear system of coupled first-order variational equations. Then, fully discrete approximations are introduced by using the classical finite-element method and the implicit Euler scheme. A discrete stability property and an a priori error estimates result are proved, from which the linear convergence of the algorithm is derived under suitable additional regularity conditions. Finally, some one- and two-dimensional numerical simulations are presented to show the accuracy of the approximation and the behavior of the solution. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Thermoelasticity |
dc.subject.other | Type III thermoelasticity with voids |
dc.subject.other | Microtemperatures |
dc.subject.other | Numerical approximation |
dc.subject.other | Error estimates |
dc.subject.other | Numerical solutions |
dc.title | Numerical analysis of a type III thermo-porous-elastic problem with microtemperatures |
dc.type | Article |
dc.subject.lemac | Termoelasticitat |
dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.identifier.doi | 10.1007/s40314-020-01248-x |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s40314-020-01248-x |
dc.rights.access | Open Access |
local.identifier.drac | 29093699 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P |
dc.relation.projectid | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105118GB-I00/ES/ANALISIS MATEMATICO APLICADO A LA TERMOMECANICA/ |
local.citation.author | Bazarra, N.; Fernández, J.; Quintanilla, R. |
local.citation.publicationName | Computational and applied mathematics |
local.citation.volume | 39 |
local.citation.number | 3 |
local.citation.startingPage | 242-1 |
local.citation.endingPage | 242-27 |
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