000075374 001__ 75374 000075374 005__ 20200228103845.0 000075374 0247_ $$2doi$$a10.1063/1.5008205 000075374 0248_ $$2sideral$$a104335 000075374 037__ $$aART-2017-104335 000075374 041__ $$aeng 000075374 100__ $$0(orcid)0000-0001-7639-6767$$aBadías, A.$$uUniversidad de Zaragoza 000075374 245__ $$aLocal proper generalized decomposition 000075374 260__ $$c2017 000075374 5060_ $$aAccess copy available to the general public$$fUnrestricted 000075374 5203_ $$aLocal model order reduction methods provide better results than global ones to problems with intricate manifold solution structure. A posteriori methods (e.g. Proper Orthogonal Decomposition) have been many times applied locally, but a priori methods (e.g. Proper Generalized Decomposition) have the difficulty of determining the manifold structure of the solution in a previous way. We propose three strategies for estimating the appropriate size of the local sub-domains where afterwards local PGD (l-PGD) is applied. It can be seen as a sort of a priori manifold learning or non-linear dimensionality reduction technique. Finally, three examples support the work. 000075374 536__ $$9info:eu-repo/grantAgreement/ES/CICYT/DPI2014-51844-C2-1-R$$9info:eu-repo/grantAgreement/ES/DGA/T88$$9info:eu-repo/grantAgreement/ES/MINECO/DPI2015-72365-EXP 000075374 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000075374 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000075374 700__ $$0(orcid)0000-0003-3003-5856$$aGonzález, D.$$uUniversidad de Zaragoza 000075374 700__ $$0(orcid)0000-0002-9135-866X$$aAlfaro, I.$$uUniversidad de Zaragoza 000075374 700__ $$aChinesta, F. 000075374 700__ $$0(orcid)0000-0003-1017-4381$$aCueto, E.$$uUniversidad de Zaragoza 000075374 7102_ $$15004$$2605$$aUniversidad de Zaragoza$$bDpto. Ingeniería Mecánica$$cÁrea Mec.Med.Cont. y Teor.Est. 000075374 773__ $$g1896, 1 (2017), 170007 [6 pp.]$$pAIP conf. proc.$$tAIP Conference Proceedings$$x0094-243X 000075374 8564_ $$s1353046$$uhttps://zaguan.unizar.es/record/75374/files/texto_completo.pdf$$yVersión publicada 000075374 8564_ $$s84819$$uhttps://zaguan.unizar.es/record/75374/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000075374 909CO $$ooai:zaguan.unizar.es:75374$$particulos$$pdriver 000075374 951__ $$a2020-02-28-10:16:53 000075374 980__ $$aARTICLE