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Accelerated Mesh Sampling for the Hyper Reduction of Nonlinear Computational Models

International Journal for Numerical Methods in Engineering, 2017
SummaryIn 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
exaly   +3 more sources

A Lean and Efficient Snapshot Generation Technique for the Hyper-Reduction of Nonlinear Structural Dynamics

Computer Methods in Applied Mechanics and Engineering, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D J Rixen
exaly   +3 more sources

Towards Hyper-Reduction of Cardiac Models Using Poly-affine Transformations

2020
This 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
openaire   +1 more source

Hyper‐reduction of mechanical models involving internal variables

International Journal for Numerical Methods in Engineering, 2008
AbstractWe 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 ...
openaire   +4 more sources

Homogenization in Hyperelasticity Using Empirically Corrected Cluster Cubature (E3C) Hyper-Reduction

open access: yesComputer Methods in Applied Mechanics and Engineering
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stephan Wulfinghoff
exaly   +3 more sources

Nonlinear frequency response analysis of a rotating structure via the hyper-reduction

Proceedings of Global Power & Propulsion Society, 2023
Linear 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
openaire   +1 more source

Hyper Reduction of finite strain elasto-plastic models

International Journal of Material Forming, 2009
The 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
openaire   +1 more source

Extrafascial hyper-reduction of the hepatic graft.

Journal of the American College of Surgeons, 1994
The 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
openaire   +1 more source

Multidimensional a priori hyper-reduction of mechanical models involving internal variables

Computer Methods in Applied Mechanics and Engineering, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ryckelynck, David   +2 more
openaire   +4 more sources

Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction

Advances in Computational Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David Amsallem   +2 more
openaire   +2 more sources

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