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State-of-the-Art Model Order Reduction and Its Applications in 2020

Guest Editors: 

  • David Néron (ENS Paris-Saclay, Gif-sur-Yvette, France)
  • Elias Cueto Elias Cueto (University of Zaragoza, Zaragoza, Spain)
  • Yvon Maday (Université Pierre et Marie Curie, Paris, France) 
  • Gianluigi Rozza (International School for Advanced Studies, Trieste, Italy)

Model Order Reduction is experiencing continuous advancements towards increased efficiency and robustness, as well as the embracement of challenging applications with scientific and technological relevance. This collection is intended to group together papers of recent advanced techniques, pushing forward the limits of the current understanding in model order reduction techniques in engineering sciences and mathematics.

Topics of relevance include but are not limited to, Reduced Basis (RB), Proper Orthogonal Decomposition (POD) and Proper Generalized Decomposition (PGD) methods for the numerical solution of models involving partial differential equations. Many methods are now mature and it is time to review their resulting applications. New opportunities and techniques related to big data will also be investigated.

Articles will undergo the journal’s standard peer-review process and are subject to all of the journal’s standard policies, including those pertaining to Collections. Articles will be added to the Collection as they are published

  1. A domain decomposition technique combined with an enhanced geometry mapping based on the use of NURBS is considered for solving parametrized models in complex geometries (non simply connected) within the so-ca...

    Authors: Mohammad Javad Kazemzadeh-Parsi, Amine Ammar and Francisco Chinesta
    Citation: Advanced Modeling and Simulation in Engineering Sciences 2022 9:2
    Content type: Research article Published on:

  2. Solutions of partial differential equations can exhibit multiple time scales. Standard discretization techniques are constrained to capture the finest scale to accurately predict the response of the system. In...

    Authors: Angelo Pasquale, Amine Ammar, Antonio Falcó, Simona Perotto, Elías Cueto, Jean-Louis Duval and Francisco Chinesta
    Citation: Advanced Modeling and Simulation in Engineering Sciences 2021 8:26
    Content type: Research article Published on:

  3. Space separation within the Proper Generalized Decomposition—PGD—rationale allows solving high dimensional problems as a sequence of lower dimensional ones. In our former works, different geometrical transform...

    Authors: Mohammad Javad Kazemzadeh-Parsi, Amine Ammar, Jean Louis Duval and Francisco Chinesta
    Citation: Advanced Modeling and Simulation in Engineering Sciences 2021 8:23
    Content type: Research article Published on:

  4. In this work we provide a novel energy-consistent formulation for the classical 1D formulation of blood flow in an arterial segment. The resulting reformulation is shown to be suitable for the coupling with a ...

    Authors: Jessica Manganotti, Federica Caforio, François Kimmig, Philippe Moireau and Sebastien Imperiale
    Citation: Advanced Modeling and Simulation in Engineering Sciences 2021 8:21
    Content type: Research article Published on:

  5. This work proposes a framework for projection-based model order reduction (MOR) of computational models aiming at a mechanical analysis of abdominal aortic aneurysms (AAAs). The underlying full-order model (FO...

    Authors: Alexander Schein and Michael W. Gee
    Citation: Advanced Modeling and Simulation in Engineering Sciences 2021 8:18
    Content type: Research article Published on:

  6. The paper deals with approximations of periodic functions that play a significant role in harmonic analysis. The approach revisits the trigonometric polynomials, seen as combinations of functions, and proposes...

    Authors: Mathilde Chevreuil and Myriam Slama
    Citation: Advanced Modeling and Simulation in Engineering Sciences 2021 8:17
    Content type: Research article Published on:

  7. A methodology based on Lie analysis is proposed to investigate the mechanical behavior of materials exhibiting experimental master curves. It is based on the idea that the mechanical response of materials is a...

    Authors: J. F. Ganghoffer, R. Rahouadj and A. Cheviakov
    Citation: Advanced Modeling and Simulation in Engineering Sciences 2021 8:1
    Content type: Research article Published on:

  8. This article addresses the problem of constrained derivative-free optimization in a multi-fidelity (or variable-complexity) framework using Bayesian optimization techniques. It is assumed that the objective an...

    Authors: Hanane Khatouri, Tariq Benamara, Piotr Breitkopf, Jean Demange and Paul Feliot
    Citation: Advanced Modeling and Simulation in Engineering Sciences 2020 7:43
    Content type: Research article Published on:

  9. In this work we present an advanced computational pipeline for the approximation and prediction of the lift coefficient of a parametrized airfoil profile. The non-intrusive reduced order method is based on dyn...

    Authors: Marco Tezzele, Nicola Demo, Giovanni Stabile, Andrea Mola and Gianluigi Rozza
    Citation: Advanced Modeling and Simulation in Engineering Sciences 2020 7:40
    Content type: Research article Published on:

  10. The hyper-reduction problem for reduced-order internal forces evaluation in transient, nonlinear, explicit dynamics is reformulated, employing Mixed-Integer Programming (MIP), taking into account consistency c...

    Authors: Pierre Phalippou, Piotr Breitkopf, Salim Bouabdallah, Malek Zarroug and Pierre Villon
    Citation: Advanced Modeling and Simulation in Engineering Sciences 2020 7:36
    Content type: Research article Published on:

  12. In this work, we consider a transient thermal problem, with a nonlinear term coming from the radiation boundary condition and a nonparametrized variability in the form complex scenarios for the initial conditi...

    Authors: Fabien Casenave, Asven Gariah, Christian Rey and Frederic Feyel
    Citation: Advanced Modeling and Simulation in Engineering Sciences 2020 7:22
    Content type: Research article Published on: