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dc.contributor.authorModesto Galende, David
dc.contributor.authorZlotnik, Sergio
dc.contributor.authorHuerta, Antonio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2015-09-18T12:02:11Z
dc.date.available2017-10-03T00:30:29Z
dc.date.created2015-10-01
dc.date.issued2015-10-01
dc.identifier.citationModesto, D., Zlotnik, S., Huerta, A. Proper generalized decomposition for parameterized Helmholtz problems in heterogeneous and unbounded domains: application to harbor agitation. "Computer methods in applied mechanics and engineering", 01 Octubre 2015, p. 127-149.
dc.identifier.issn0045-7825
dc.identifier.urihttp://hdl.handle.net/2117/76946
dc.description.abstractSolving the Helmholtz equation for a large number of input data in an heterogeneous media and unbounded domain still represents a challenge. This is due to the particular nature of the Helmholtz operator and the sensibility of the solution to small variations of the data. Here a reduced order model is used to determine the scattered solution everywhere in the domain for any incoming wave direction and frequency. Moreover, this is applied to a real engineering problem: water agitation inside real harbors for low to mid-high frequencies. The Proper Generalized Decomposition (PGD) model reduction approach is used to obtain a separable representation of the solution at any point and for any incoming wave direction and frequency. Here, its applicability to such a problem is discussed and demonstrated. More precisely, the contributions of the paper include the PGD implementation into a Perfectly Matched Layer framework to model the unbounded domain, and the separability of the operator which is addressed here using an efficient higher-order projection scheme. Then, the performance of the PGD in this framework is discussed and improved using the higher-order projection and a Petrov-Galerkin approach to construct the separated basis. Moreover, the efficiency of the higherorder projection scheme is demonstrated and compared with the higher-order singular value decomposition.
dc.format.extent23 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject.lcshNumerical methods and algorithms
dc.subject.otherReduced order models
dc.subject.otherProper generalized decomposition
dc.subject.otherHelmholtz
dc.subject.otherParameterized solutions
dc.subject.otherWave propagation
dc.subject.otherHarbor
dc.titleProper generalized decomposition for parameterized Helmholtz problems in heterogeneous and unbounded domains: application to harbor agitation
dc.typeArticle
dc.subject.lemacAnàlisi numèrica
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1016/j.cma.2015.03.026
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::65 Numerical analysis::65E05 Numerical methods in complex analysis (potential theory, etc.)
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S004578251500136X
dc.rights.accessOpen Access
drac.iddocument16870954
dc.description.versionPostprint (author’s final draft)
upcommons.citation.authorModesto, D., Zlotnik, S., Huerta, A.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameComputer methods in applied mechanics and engineering
upcommons.citation.volume295
upcommons.citation.startingPage127
upcommons.citation.endingPage149


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