Academic Journal
A type III porous-thermo-elastic problem with quasi-static microvoids
| العنوان: | A type III porous-thermo-elastic problem with quasi-static microvoids |
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| المؤلفون: | Bazarra Garcia, Noelia, Castejón Lafuente, Alberto Elias, Fernández García, José Ramón, Quintanilla, Ramón |
| بيانات النشر: | Meccanica Matemática aplicada I Matemática Aplicada 9 Grupo de Ecuacións Diferenciais e Simulación Numérica |
| سنة النشر: | 2021 |
| المجموعة: | University of Vigo: Investigo (Repositorio Institucional de la Universidade de Vigo) |
| مصطلحات موضوعية: | 12 Matemáticas, 1206.02 Ecuaciones Diferenciales, 2501.21 Simulación Numérica |
| الوصف: | In this work we study, from the numerical point of view, a one-dimensional thermoelastic problem where the thermal law is of type III. Quasi-static microvoids are also assumed within the model. The variational formulation leads to a coupled linear system made of variational equations and it is written in terms of the velocity, the volume fraction and the temperature. Fully discrete approximations are introduced by using the finite element method and the backward Euler method. A discrete stability property and a priori error estimates are proved, deriving the linear convergence under adequate additional regularity. Finally, some numerical simulations are presented to demonstrate the accuracy of the approximation and the behavior of the solution. ; Agencia Estatal de Investigación | Ref. PGC2018-096696-B-I00 ; Agencia Estatal de Investigación | Ref. PID2019-105118GB-I00 |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 00256455 15729648 |
| Relation: | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096696-B-I00/ES/ANALISIS MATEMATICO Y SIMULACION NUMERICA DE PROBLEMAS CON REMODELACION OSEA. APLICACIONES EN EL DISEÑO DE IMPLANTES DENTALES Y PROTESIS; 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; Meccanica, (2021); http://hdl.handle.net/11093/2313; https://link.springer.com/10.1007/s11012-021-01398-0 |
| DOI: | 10.1007/s11012-021-01398-0 |
| الاتاحة: | http://hdl.handle.net/11093/2313 https://doi.org/10.1007/s11012-021-01398-0 https://link.springer.com/10.1007/s11012-021-01398-0 |
| Rights: | Attribution 4.0 International ; https://creativecommons.org/licenses/by/4.0/deed.en ; openAccess |
| رقم الانضمام: | edsbas.740CEBCF |
| قاعدة البيانات: | BASE |
| تدمد: | 00256455 15729648 |
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| DOI: | 10.1007/s11012-021-01398-0 |