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  1. Article

    Open Access

    Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization

    In this paper, we present new reliable model order reduction strategies for computational micromechanics. The difficulties rely mainly upon the high dimensionality of the parameter space represented by any loa...

    Olivier Goury, David Amsallem, Stéphane Pierre Alain Bordas in Computational Mechanics (2016)

  2. Article

    Open Access

    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 in Advanced Modeling and Simulation in Engineering Sciences (2016)

  3. Article

    Open Access

    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 in Advanced Modeling and Simulation in Engine… (2016)

  4. No Access

    Article

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

    Projection-based model reduction techniques rely on the definition of a small dimensional subspace in which the solution is approximated. Using local subspaces reduces the dimensionality of each subspace and e...

    David Amsallem, Matthew J. Zahr, Kyle Washabaugh in Advances in Computational Mathematics (2015)