Academic Journal
An a priori error analysis of a problem involving mixtures of continua with gradient enrichment
| العنوان: | An a priori error analysis of a problem involving mixtures of continua with gradient enrichment |
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| المؤلفون: | Bazarra, Noelia, Fernández García, José Ramón, Magaña Nieto, Antonio, Quintanilla de Latorre, Ramón, Magaña Centelles, Marc |
| المساهمون: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. ALBCOM - Algorísmia, Bioinformàtica, Complexitat i Mètodes Formals |
| سنة النشر: | 2024 |
| المجموعة: | Universitat Politècnica de Catalunya, BarcelonaTech: UPCommons - Global access to UPC knowledge |
| مصطلحات موضوعية: | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències, Thermoelasticity, Finite element method, Mixtures, Strain gradient, Finite elements, Discrete energy decay, A priori error estimates, Numerical simulations, Termoelasticitat, Elements finits, Mètode dels, Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems, Classificació AMS::74 Mechanics of deformable solids::74A Generalities, axiomatics, foundations of continuum mechanics of solids, Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects, Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems |
| الوصف: | In this work, we study a strain gradient problem involving mixtures. The variational formulation is written as a first-order in time coupled system of parabolic variational equations. An existence and uniqueness result is recalled. Then, we introduce a fully discrete approximation by using the finite element method and the implicit Euler scheme. A discrete stability property and a priori error estimates are proved. Finally, some one- and two-dimensional numerical simulations are performed. ; Peer Reviewed ; Postprint (author's final draft) |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | 16 p.; application/pdf |
| اللغة: | English |
| تدمد: | 1705-5105 |
| Relation: | https://global-sci.org/intro/article_detail/ijnam/23022.html; 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/; Bazarra, N. [et al.]. An a priori error analysis of a problem involving mixtures of continua with gradient enrichment. "International journal of numerical analysis and modeling", 1 Abril 2024, vol. 21, núm. 2, p. 165-180.; http://hdl.handle.net/2117/408116 |
| DOI: | 10.4208/ijnam2024-1006 |
| الاتاحة: | http://hdl.handle.net/2117/408116 https://doi.org/10.4208/ijnam2024-1006 |
| Rights: | Restricted access - publisher's policy |
| رقم الانضمام: | edsbas.FDDD175A |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 17055105 |
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| DOI: | 10.4208/ijnam2024-1006 |