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Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error

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Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error

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Kerfriden, P.; Ródenas, J.; Bordas, S. (2014). Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error. International Journal for Numerical Methods in Engineering. 97(6):395-422. https://doi.org/10.1002/nme.4588

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Título: Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error
Autor: Kerfriden, Pierre Ródenas, J.J. Bordas, S.P.-A.
Entidad UPV: Universitat Politècnica de València. Centro de Investigación en Tecnología de Vehículos - Centre d'Investigació en Tecnologia de Vehicles
Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería del Diseño - Escola Tècnica Superior d'Enginyeria del Disseny
Fecha difusión:
Resumen:
In this paper, we propose upper and lower error bounding techniques for reduced order modelling applied to the computational homogenisation of random composites. The upper bound relies on the construction of a reduced model ...[+]
Palabras clave: Model order reduction , Error estimation , Computational homogenisation , Proper orthogonal decomposition , Constitutive relation error
Derechos de uso: Reserva de todos los derechos
Fuente:
International Journal for Numerical Methods in Engineering. (issn: 0029-5981 ) (eissn: 1097-0207 )
DOI: 10.1002/nme.4588
Editorial:
Wiley
Versión del editor: http://dx.doi.org/10.1002/nme.4588
Código del Proyecto:
info:eu-repo/grantAgreement/EC/FP7/279578/EU/Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery/
info:eu-repo/grantAgreement/UKRI//EP%2FJ01947X%2F1/GB/Towards rationalised computational expense for simulating fracture over multiple scales/
Descripción: "This is the peer reviewed version of the following article:Kerfriden, P., Ródenas, J. J. and Bordas, S. P.-A. (2014), Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error. Int. J. Numer. Meth. Engng, 97: 395–422, which has been published in final form at http://dx.doi.org/10.1002/nme.4588. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving."
Agradecimientos:
The authors acknowledge the financial support of EPSRC under grant EP/J01947X/1: Towards rationalised computational expense for simulating fracture over multiple scales (RationalMSFrac) and the support of the European ...[+]
Tipo: Artículo

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