57888 20210121114502.0 doi 10.1186/s40323-015-0050-8 sideral 96917 ART-2015-96917 eng (orcid)0000-0002-9135-866X Alfaro, Icíar Universidad de Zaragoza An error estimator for real-time simulators based on model order reduction 2015 Access copy available to the general public Unrestricted Model 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. info:eu-repo/grantAgreement/ES/MINECO/DPI2014-51844-C2-1-2-R info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.0 2015 Applied Mathematics 2015 Modeling and Simulation 2015 Engineering (miscellaneous) 2015 Computer Science Applications 2015 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0003-3003-5856 González, David Universidad de Zaragoza Zlotnik, Sergio Díez, Pedro (orcid)0000-0003-1017-4381 Cueto, Elías Universidad de Zaragoza Chinesta, Francisco 5004 605 Universidad de Zaragoza Dpto. Ingeniería Mecánica Área Mec.Med.Cont. y Teor.Est. 2, 30 (2015), [16 pp.] Adv. model. simul. eng. sci. Advanced modeling and simulation in engineering sciences 2213-7467 1973651 http://zaguan.unizar.es/record/57888/files/texto_completo.pdf Versión publicada 16897 http://zaguan.unizar.es/record/57888/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:57888 articulos driver 2021-01-21-10:51:56 ARTICLE