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dc.contributor.authorZou, Xi
dc.contributor.authorConti, Michele
dc.contributor.authorDíez, Pedro
dc.contributor.authorAuricchio, Ferdinando
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2017-11-30T12:27:31Z
dc.date.available2018-09-07T00:31:01Z
dc.date.issued2017-09-07
dc.identifier.citationZou, X., Conti, M., Diez, P., Auricchio, F. A non-intrusive proper generalized decomposition scheme with application in biomechanics. "International journal for numerical methods in engineering", 7 Setembre 2017.
dc.identifier.issn0029-5981
dc.identifier.urihttp://hdl.handle.net/2117/111374
dc.descriptionThis is the peer reviewed version of the following article: Zou, X., Conti, M., Diez, P., Auricchio, F. A non-intrusive proper generalized decomposition scheme with application in biomechanics. "International journal for numerical methods in engineering", 7 Setembre 2017., which has been published in final form at http://dx.doi.org/10.1002/nme.5610. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
dc.description.abstractProper generalized decomposition (PGD) is often used for multiquery and fast-response simulations. It is a powerful tool alleviating the curse of dimensionality affecting multiparametric partial differential equations. Most implementations of PGD are intrusive extensions based on in-house developed FE solvers. In this work, we propose a nonintrusive PGD scheme using off-the-shelf FE codes (such as certified commercial software) as an external solver. The scheme is implemented and monitored by in-house flow-control codes. A typical implementation is provided with downloadable codes. Moreover, a novel parametric separation strategy for the PGD resolution is presented. The parametric space is split into two- or three-dimensional subspaces, to allow PGD technique solving problems with constrained parametric spaces, achieving higher convergence ratio. Numerical examples are provided. In particular, a practical example in biomechanics is included, with potential application to patient-specific simulation.
dc.language.isoeng
dc.publisherJohn Wiley & Sons
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Simulació
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Modelització matemàtica
dc.subject.lcshNumerical analysis--Simulation methods
dc.subject.lcshMechanics
dc.subject.lcshNumerical analysis
dc.subject.othermodel order reduction
dc.subject.othernonintrusive
dc.subject.otherproper generalized decomposition
dc.titleA non-intrusive proper generalized decomposition scheme with application in biomechanics
dc.typeArticle
dc.subject.lemacAnàlisi numèrica
dc.subject.lemacMecànica
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1002/nme.5610
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::65 Numerical analysis::65C Probabilistic methods, simulation and stochastic differential equations
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems
dc.subject.amsClassificació AMS::65 Numerical analysis::65Y Computer aspects of numerical algorithms
dc.relation.publisherversionhttp://dx.doi.org/10.1002/nme.5610
dc.rights.accessOpen Access
drac.iddocument21525793
dc.description.versionPostprint (author's final draft)
upcommons.citation.authorZou, X., Conti, M., Diez, P., Auricchio, F.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameInternational journal for numerical methods in engineering


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