An error estimator for real-time simulators based on model order reduction
Resumen: 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.
Idioma: Inglés
DOI: 10.1186/s40323-015-0050-8
Año: 2015
Publicado en: Advanced modeling and simulation in engineering sciences 2, 30 (2015), [16 pp.]
ISSN: 2213-7467

Factor impacto SCIMAGO: 0.0 - Applied Mathematics - Modeling and Simulation - Engineering (miscellaneous) - Computer Science Applications

Financiación: info:eu-repo/grantAgreement/ES/MINECO/DPI2014-51844-C2-1-2-R
Tipo y forma: Article (Published version)
Área (Departamento): Área Mec.Med.Cont. y Teor.Est. (Dpto. Ingeniería Mecánica)

Creative Commons You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.


Exportado de SIDERAL (2021-01-21-10:51:56)


Visitas y descargas

Este artículo se encuentra en las siguientes colecciones:
Articles



 Record created 2016-12-15, last modified 2021-01-21


Versión publicada:
 PDF
Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)