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Accelerated Mesh Sampling for the Hyper Reduction of Nonlinear Computational Models
International Journal for Numerical Methods in Engineering, 2017SummaryIn nonlinear model order reduction, hyper reduction designates the process of approximating a projection‐based reduced‐order operator on a reduced mesh, using a numerical algorithm whose computational complexity scales with the small size of the projection‐based reduced‐order model.
Philip Avery +2 more
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Computer Methods in Applied Mechanics and Engineering, 2017
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D J Rixen
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D J Rixen
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Towards Hyper-Reduction of Cardiac Models Using Poly-affine Transformations
2020This paper presents a method for frame-based finite element models in order to develop fast personalised cardiac electromechanical models. Its originality comes from the choice of the deformation model: it relies on a reduced number of degrees of freedom represented by affine transformations located at arbitrary control nodes over a tetrahedral mesh ...
Gaëtan Desrues +2 more
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Hyper‐reduction of mechanical models involving internal variables
International Journal for Numerical Methods in Engineering, 2008AbstractWe propose to improve the efficiency of the computation of the reduced‐state variables related to a given reduced basis. This basis is supposed to be built by using the snapshot proper orthogonal decomposition (POD) model reduction method. In the framework of non‐linear mechanical problems involving internal variables, the local integration of ...
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Homogenization in Hyperelasticity Using Empirically Corrected Cluster Cubature (E3C) Hyper-Reduction
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Stephan Wulfinghoff
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Nonlinear frequency response analysis of a rotating structure via the hyper-reduction
Proceedings of Global Power & Propulsion Society, 2023Linear frequency response (LFR) analysis is the efficient approach to obtain the periodic vibratory response of the rotating structure, in which centrifugal effect is included by the preliminary nonlinear static analysis. However, LFR analysis is not capable of reflecting the coupling effect among the harmonic responses.
Seung-Hoon Kang +5 more
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Hyper Reduction of finite strain elasto-plastic models
International Journal of Material Forming, 2009The aim of this work is to propose a new method to compute the reduced state variables related to a known POD basis. The classical Galerkin formulation of the reduced governing equation related to a POD basis is not efficient for medium size elasto-plastic problems (about 20000 Degrees of freedom). In such problems the computational cost related to the
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Extrafascial hyper-reduction of the hepatic graft.
Journal of the American College of Surgeons, 1994The technique and limits of graft reduction in orthotopic liver transplantation (OLT) are not well-defined, especially for small recipients. To reduce the hepatic graft to the left lateral segment (segments II and III), the authors have used an extrafascial hepatectomy without any dissection of the hepatic hilum.
O, Soubrane +5 more
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Multidimensional a priori hyper-reduction of mechanical models involving internal variables
Computer Methods in Applied Mechanics and Engineering, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ryckelynck, David +2 more
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Advances in Computational Mathematics, 2015
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David Amsallem +2 more
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David Amsallem +2 more
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