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http://hdl.handle.net/10637/14138
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DC Field | Value | Language |
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dc.contributor.other | UCH. ESI International Chair@CEU-UCH | - |
dc.contributor.other | UCH. Departamento de Matemáticas, Física y Ciencias Tecnológicas | - |
dc.contributor.other | Producción Científica UCH 2021 | - |
dc.creator | Pasquale, Angelo | - |
dc.creator | Ammar, Amine | - |
dc.creator | Falcó Montesinos, Antonio | - |
dc.creator | Perotto, Simona | - |
dc.creator | Cueto Prendes, Elías | - |
dc.creator | Duval, Jean Louis | - |
dc.creator | Chinesta, Francisco | - |
dc.date | 2021 | - |
dc.date.accessioned | 2023-03-09T05:00:16Z | - |
dc.date.available | 2023-03-09T05:00:16Z | - |
dc.date.issued | 2021-11-26 | - |
dc.identifier.citation | Pasquale, A., Ammar, A., Falcó, A., Perotto, S., Cueto, E., Duval, J.L. & Chinesta, F. (2021). A separated representation involving multiple time scales within the Proper Generalized Decomposition framework. Advanced Modeling and Simulation in Engineering Sciences, vol. 8, art. 26 (26 nov.). DOI: https://doi.org/10.1186/s40323-021-00211-7 | - |
dc.identifier.issn | 2213-7467 (Electrónico) | - |
dc.identifier.uri | http://hdl.handle.net/10637/14138 | - |
dc.description | Este artículo se encuentra disponible en la página web de la revista en la siguiente URL: https://amses-journal.springeropen.com/articles/10.1186/s40323-021-00211-7 | - |
dc.description.abstract | Solutions of partial differential equations can exhibit multiple time scales. Standard discretization techniques are constrained to capture the finest scale to accurately predict the response of the system. In this paper, we provide an alternative route to circumvent prohibitive meshes arising from the necessity of capturing fine-scale behaviors. The proposed methodology is based on a time-separated representation within the standard Proper Generalized Decomposition, where the time coordinate is transformed into a multi-dimensional time through new separated coordinates, each representing one scale, while continuity is ensured in the scale coupling. For instance, when considering two different time scales, the governing Partial Differential Equation is commuted into a nonlinear system that iterates between the so-called microtime and macrotime, so that the time coordinate can be viewed as a 2D time. The macroscale effects are taken into account by means of a finite element-based macro-discretization, whereas the microscale effects are handled with unidimensional parent spaces that are replicated throughout the time domain. The resulting separated representation allows us a very fine time discretization without impacting the computational efficiency. The proposed formulation is explored and numerically verified on thermal and elastodynamic problems. | - |
dc.format | application/pdf | - |
dc.language.iso | en | - |
dc.relation | Este artículo de investigación ha sido desarrollado gracias al apoyo del Grupo ESI a través de su cátedra de investigación en ENSAM ParisTech y del proyecto 2019-0060 “Realidad Simulada” de la Universidad de Zaragoza. También se agradece el apoyo del Ministerio de Ciencia de España a través de la Subvención número CICYT-DPI2017-85139-C2-1-R y del Gobierno de Aragón y el Fondo Social Europeo. Este trabajo también ha sido parcialmente apoyado por el programa de investigación e innovación Horizonte 2020 de la Unión Europea bajo las Acciones Marie Skłodowska-Curie, acuerdo de subvención 872442 (ARIA) y por el proyecto de investigación GNCS-INdAM 2020. | - |
dc.relation.ispartof | Advanced Modeling and Simulation in Engineering Sciences, vol. 8 (26 nov. 2021) | - |
dc.rights | http://creativecommons.org/licenses/by/4.0/deed.es | - |
dc.subject | Decomposition (Mathematics) | - |
dc.subject | Differential equations, Partial. | - |
dc.subject | Multidimensional scaling. | - |
dc.subject | Ecuaciones en derivadas parciales. | - |
dc.subject | Escalas multidimensionales. | - |
dc.subject | Descomposición (Matemáticas) | - |
dc.title | A separated representation involving multiple time scales within the Proper Generalized Decomposition framework | - |
dc.type | Artículo | - |
dc.identifier.doi | https://doi.org/10.1186/s40323-021-00211-7 | - |
dc.relation.projectID | CICYT-DPI2017-85139-C2-1-R | - |
dc.centro | Universidad Cardenal Herrera-CEU | - |
Appears in Collections: | Dpto. Matemáticas, Física y Ciencias Tecnológicas |
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