Título:
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A non-intrusive proper generalized decomposition scheme with application in biomechanics
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Autor/a:
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Zou, Xi; Conti, Michele; Díez, Pedro; Auricchio, Ferdinando
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Otros autores:
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Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
Abstract:
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This is the peer reviewed version of the following article: Zou, X., Conti, M., Diez, P., Auricchio, F. A non-intrusive proper generalized decomposition scheme with application in biomechanics. "International journal for numerical methods in engineering", 7 Setembre 2017., which has been published in final form at http://dx.doi.org/10.1002/nme.5610. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. |
Abstract:
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Proper generalized decomposition (PGD) is often used for multiquery and fast-response simulations. It is a powerful tool alleviating the curse of dimensionality affecting multiparametric partial differential equations. Most implementations of PGD are intrusive extensions based on in-house developed FE solvers. In this work, we propose a nonintrusive PGD scheme using off-the-shelf FE codes (such as certified commercial software) as an external solver. The scheme is implemented and monitored by in-house flow-control codes. A typical implementation is provided with downloadable codes. Moreover, a novel parametric separation strategy for the PGD resolution is presented. The parametric space is split into two- or three-dimensional subspaces, to allow PGD technique solving problems with constrained parametric spaces, achieving higher convergence ratio. Numerical examples are provided. In particular, a practical example in biomechanics is included, with potential application to patient-specific simulation. |
Abstract:
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Peer Reviewed |
Materia(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Simulació -Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències -Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Modelització matemàtica -Numerical analysis--Simulation methods -Mechanics -Numerical analysis -model order reduction -nonintrusive -proper generalized decomposition -Anàlisi numèrica -Mecànica -Classificació AMS::65 Numerical analysis::65C Probabilistic methods, simulation and stochastic differential equations -Classificació AMS::70 Mechanics of particles and systems -Classificació AMS::65 Numerical analysis::65Y Computer aspects of numerical algorithms |
Derechos:
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Tipo de documento:
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Artículo - Versión presentada Artículo |
Editor:
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John Wiley & Sons
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