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Real time parameter identification and solution reconstruction from experimental data using the Proper Generalized Decomposition
dc.contributor.author | Nadal, Enrique |
dc.contributor.author | Chinesta, Francisco |
dc.contributor.author | Díez, Pedro |
dc.contributor.author | Fuenmayor, F. J. |
dc.contributor.author | Denia, F.D. |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2015-09-18T12:10:06Z |
dc.date.available | 2017-11-02T01:30:31Z |
dc.date.created | 2015-11-01 |
dc.date.issued | 2015-11-01 |
dc.identifier.citation | Nadal, E., Chinesta, F., Diez, P., Fuenmayor, F., Denia, F. Real time parameter identification and solution reconstruction from experimental data using the Proper Generalized Decomposition. "Computer methods in applied mechanics and engineering", 01 Novembre 2015, p. 113-128. |
dc.identifier.issn | 0045-7825 |
dc.identifier.uri | http://hdl.handle.net/2117/76948 |
dc.description.abstract | Some industrial processes are modelled by parametric partial differential equations. Integrating computational modelling and data assimilation into the control process requires obtaining a solution of the numerical model at the characteristic frequency of the process (real-time). This paper introduces a computational strategy allowing to efficiently exploit measurements of those industrial processes, providing the solution of the model at the required frequency. This is particularly interesting in the framework of control algorithms that rely on a model involving a set of parameters. For instance, the curing process of a composite material is modelled as a thermo-mechanical problem whose corresponding parameters describe the thermal and mechanical behaviours. In this context, the information available (measurements) is used to update the parameters of the model and to produce new values of the control variables (data assimilation). The methodology presented here is devised to ensure the possibility of having a response in real-time of the problem and therefore the capability of integrating it in the control scheme. The Proper Generalized Decomposition is used to describe the solution in the multi-parametric space. The real-time data assimilation requires a further simplification of the solution representation that better fits the data (reconstructed solution) and it provides an implicit parameter identification. Moreover, the analysis of the assimilated data sensibility with respect to the points where the measurements are taken suggests a criterion to locate of the sensors. |
dc.format.extent | 16 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions diferencials ordinàries |
dc.subject.lcsh | Differential equations |
dc.subject.other | Proper Generalized Decomposition |
dc.subject.other | Data assimilation |
dc.subject.other | Model Order Reduction |
dc.subject.other | Discrete Empirical Interpolation Method |
dc.subject.other | System control |
dc.subject.other | Parameter identification |
dc.title | Real time parameter identification and solution reconstruction from experimental data using the Proper Generalized Decomposition |
dc.type | Article |
dc.subject.lemac | Equacions diferencials |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1016/j.cma.2015.07.020 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::65 Numerical analysis::65H Nonlinear algebraic or transcendental equations |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0045782515002327 |
dc.rights.access | Open Access |
local.identifier.drac | 16870813 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Nadal, E.; Chinesta, F.; Diez, P.; Fuenmayor, F.; Denia, F. |
local.citation.publicationName | Computer methods in applied mechanics and engineering |
local.citation.volume | 296 |
local.citation.startingPage | 113 |
local.citation.endingPage | 128 |
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