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Artículo
Recursive POD expansion for reaction-diffusion equation
dc.creator | Azaïez, Majdi | es |
dc.creator | Ben Belgacem, Faker | es |
dc.creator | Chacón Rebollo, Tomás | es |
dc.date.accessioned | 2017-01-19T07:47:58Z | |
dc.date.available | 2017-01-19T07:47:58Z | |
dc.date.issued | 2016-12 | |
dc.identifier.citation | Azaïez, M., Ben Belgacem, F. y Chacón Rebollo, T. (2016). Recursive POD expansion for reaction-diffusion equation. Advanced Modeling and Simulation in Engineering Sciences, 3 (3), 1-22. | |
dc.identifier.issn | 2213-7467 | es |
dc.identifier.uri | http://hdl.handle.net/11441/52441 | |
dc.description.abstract | This paper focuses on the low-dimensional representation of multivariate functions. We study a recursive POD representation, based upon the use of the power iterate algorithm to recursively expand the modes retained in the previous step. We obtain general error estimates for the truncated expansion, and prove that the recursive POD representation provides a quasi-optimal approximation in L2 norm. We also prove an exponential rate of convergence, when applied to the solution of the reaction-diffusion partial differential equation. Some relevant numerical experiments show that the recursive POD is computationally more accurate than the Proper Generalized Decomposition for multivariate functions. We also recover the theoretical exponential convergence rate for the solution of the reaction-diffusion equation. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer Open | es |
dc.relation.ispartof | Advanced Modeling and Simulation in Engineering Sciences, 3 (3), 1-22. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Recursive POD | es |
dc.subject | High order SVD | es |
dc.subject | Model reduction | es |
dc.subject | Multivariate functions | es |
dc.subject | PGD | es |
dc.title | Recursive POD expansion for reaction-diffusion equation | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | http://download.springer.com/static/pdf/614/art%253A10.1186%252Fs40323-016-0060-1.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1186%2Fs40323-016-0060-1&token2=exp=1484812992~acl=%2Fstatic%2Fpdf%2F614%2Fart%25253A10.1186%25252Fs40323-016-0060-1.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1186%252Fs40323-016-0060-1*~hmac=54dbee40222f842f9d432018ad098eb3dd30ce7286001c6dba8fe1a6cd4a4cef | es |
dc.identifier.doi | 10.1186/s40323-016-0060-1 | es |
dc.contributor.group | Universidad de Sevilla. FQM120: Modelado Matemático y Simulación de Sistemas Medioambientales | es |
idus.format.extent | 22 p. | es |
dc.journaltitle | Advanced Modeling and Simulation in Engineering Sciences | es |
dc.publication.volumen | 3 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 1 | es |
dc.publication.endPage | 22 | es |
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