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Model order reduction: POD, PGD and reduced bases

  1. Research Article

    Displacement-based multiscale modeling of fiber-reinforced composites by means of proper orthogonal decomposition

    Many applications are based on the use of materials with heterogeneous microstructure. Prominent examples are fiber-reinforced composites, multi-phase steels or soft tissue to name only a few. The modeling of ...

    Annika Radermacher, Brett A. Bednarcyk, Bertram Stier, Jaan Simon, Lei Zhou and Stefanie Reese

    Advanced Modeling and Simulation in Engineering Sciences 2016 3:29

    Published on: 15 November 2016

  2. Research Article

    Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes

    In this work we provide a combination of isogeometric analysis with reduced order modelling techniques, based on proper orthogonal decomposition, to guarantee computational reduction for the numerical model, a...

    Filippo Salmoiraghi, Francesco Ballarin, Luca Heltai and Gianluigi Rozza

    Advanced Modeling and Simulation in Engineering Sciences 2016 3:21

    Published on: 20 July 2016

  3. Research Article

    Identification of nonlinear behavior with clustering techniques in car crash simulations for better model reduction

    Car crash simulations need a lot of computation time. Model reduction can be applied in order to gain time-savings. Due to the highly nonlinear nature of a crash, an automatic separation in parts behaving line...

    Dennis Grunert and Jörg Fehr

    Advanced Modeling and Simulation in Engineering Sciences 2016 3:20

    Published on: 13 June 2016

    The Erratum to this article has been published in Advanced Modeling and Simulation in Engineering Sciences 2016 3:32

  4. Research Article

    Hyper-reduction framework for model calibration in plasticity-induced fatigue

    Many mechanical experiments in plasticity-induced fatigue are prepared by the recourse to finite element simulations. Usual simulation outputs, like local stress estimations or lifetime predictions, are useful...

    David Ryckelynck and Djamel Missoum Benziane

    Advanced Modeling and Simulation in Engineering Sciences 2016 3:15

    Published on: 4 May 2016

  5. Research Article

    Transient simulation of an electrical rotating machine achieved through model order reduction

    Model order reduction (MOR) methods are more and more applied on many different fields of physics in order to reduce the number of unknowns and thus the computational time of large-scale systems. However, thei...

    Laurent Montier, Thomas Henneron, Stéphane Clénet and Benjamin Goursaud

    Advanced Modeling and Simulation in Engineering Sciences 2016 3:10

    Published on: 22 March 2016

  6. Research Article

    Efficient solvers for time-dependent problems: a review of IMEX, LATIN, PARAEXP and PARAREAL algorithms for heat-type problems with potential use of approximate exponential integrators and reduced-order models

    In this paper, we introduce and comment some recent efficient solvers for time dependent partial differential or ordinary differential problems, considering both linear and nonlinear cases. Here “efficient” ma...

    Florian De Vuyst

    Advanced Modeling and Simulation in Engineering Sciences 2016 3:8

    Published on: 15 March 2016

  7. Research Article

    Recursive POD expansion for reaction-diffusion equation

    This paper focuses on the low-dimensional representation of multivariate functions. We study a recursive POD representation, based upon the use of the power iterate algorithm to recursively expand the modes re...

    M. Azaïez, F. Ben Belgacem and T. Chacón Rebollo

    Advanced Modeling and Simulation in Engineering Sciences 2016 3:3

    Published on: 9 March 2016

  8. Research Article

    PEBL-ROM: Projection-error based local reduced-order models

    Projection-based model order reduction (MOR) using local subspaces is becoming an increasingly important topic in the context of the fast simulation of complex nonlinear models. Most approaches rely on multipl...

    David Amsallem and Bernard Haasdonk

    Advanced Modeling and Simulation in Engineering Sciences 2016 3:6

    Published on: 6 March 2016

  9. Research Article

    Robust model reduction by \(L^{1}\)-norm minimization and approximation via dictionaries: application to nonlinear hyperbolic problems

    We propose a novel model reduction approach for the approximation of non linear hyperbolic equations in the scalar and the system cases. The approach relies on an offline computation of a dictionary of solutio...

    Rémi Abgrall, David Amsallem and Roxana Crisovan

    Advanced Modeling and Simulation in Engineering Sciences 2016 3:1

    Published on: 5 January 2016