000057888 001__ 57888
000057888 005__ 20170327111938.0
000057888 0247_ $$2doi$$a10.1186/s40323-015-0050-8
000057888 0248_ $$2sideral$$a96917
000057888 037__ $$aART-2015-96917
000057888 041__ $$aeng
000057888 100__ $$0(orcid)0000-0002-9135-866X$$aAlfaro, Icíar$$uUniversidad de Zaragoza
000057888 245__ $$aAn error estimator for real-time simulators based on model order reduction
000057888 260__ $$c2015
000057888 5060_ $$aAccess copy available to the general public$$fUnrestricted
000057888 5203_ $$aModel order reduction is one of the most appealing choices for real-time simulation of non-linear solids. In this work a method is presented in which real time performance is achieved by means of the off-line solution of a (high dimensional) parametric problem that provides a sort of response surface or computational vademecum. This solution is then evaluated in real-time at feedback rates compatible with haptic devices, for instance (i.e., more than 1 kHz). This high dimensional problem can be solved without the limitations imposed by the curse of dimensionality by employing proper generalized decomposition (PGD) methods. Essentially, PGD assumes a separated representation for the essential field of the problem. Here, an error estimator is proposed for this type of solutions that takes into account the non-linear character of the studied problems. This error estimator allows to compute the necessary number of modes employed to obtain an approximation to the solution within a prescribed error tolerance in a given quantity of interest.
000057888 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/DPI2014-51844-C2-1-2-R
000057888 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000057888 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000057888 700__ $$0(orcid)0000-0003-3003-5856$$aGonzález, David$$uUniversidad de Zaragoza
000057888 700__ $$aZlotnik, Sergio
000057888 700__ $$aDíez, Pedro
000057888 700__ $$0(orcid)0000-0003-1017-4381$$aCueto, Elías$$uUniversidad de Zaragoza
000057888 700__ $$aChinesta, Francisco
000057888 7102_ $$15004$$2605$$aUniversidad de Zaragoza$$bDepartamento de Ingeniería Mecánica$$cMec. de Medios Contínuos y Teor. de Estructuras
000057888 773__ $$g2, 30 (2015), [16 pp.]$$pAdv. model. simul. eng. sci.$$tAdvanced modeling and simulation in engineering sciences$$x2213-7467
000057888 8564_ $$s1973651$$uhttps://zaguan.unizar.es/record/57888/files/texto_completo.pdf$$yVersión publicada
000057888 8564_ $$s16897$$uhttps://zaguan.unizar.es/record/57888/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000057888 909CO $$ooai:zaguan.unizar.es:57888$$particulos$$pdriver
000057888 951__ $$a2017-03-14-14:30:59
000057888 980__ $$aARTICLE