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Verification and validation for and with reduced order modeling

Edited by:

Dr. Ludovic Chamoin

Prof. Pedro Diez

  1. Research Article

    An error estimator for real-time simulators based on model order reduction

    Model order reduction is one of the most appealing choices for real-time simulation of non-linear solids. In this work a method is presented in which real time performance is achieved by means of the off-line ...

    Icíar Alfaro, David González, Sergio Zlotnik, Pedro Díez, Elías Cueto and Francisco Chinesta

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:30

    Published on: 26 November 2015

  2. Research Article

    Towards a pancreatic surgery simulator based on model order reduction

    In this work a pancreatic surgery simulator is developed that provides the user with haptic feedback. The simulator is based on the use of model order reduction techniques, particularly Proper Generalized Deco...

    Andrés Mena, David Bel, Icíar Alfaro, David González, Elías Cueto and Francisco Chinesta

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:31

    Published on: 26 November 2015

  3. Research Article

    Effect of the separated approximation of input data in the accuracy of the resulting PGD solution

    The proper generalized decomposition (PGD) requires separability of the input data (e.g. physical properties, source term, boundary conditions, initial state). In many cases the input data is not expressed in ...

    Sergio Zlotnik, Pedro Díez, David Gonzalez, Elías Cueto and Antonio Huerta

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:28

    Published on: 25 November 2015

  4. Research article

    Space–time adaptive hierarchical model reduction for parabolic equations

    Surrogate solutions and surrogate models for complex problems in many fields of science and engineering represent an important recent research line towards the construction of the best trade-off between modeli...

    Simona Perotto and Alessandro Zilio

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:25

    Published on: 13 October 2015

  5. Research article

    Proper Generalized Decomposition computational methods on a benchmark problem: introducing a new strategy based on Constitutive Relation Error minimization

    First, the effectivity of classical Proper Generalized Decomposition (PGD) computational methods is analyzed on a one dimensional transient diffusion benchmark problem, with a moving load. Classical PGD method...

    Pierre-Eric Allier, Ludovic Chamoin and Pierre Ladevèze

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:17

    Published on: 16 July 2015

  6. Research Article

    Parameter identification of two-time-scale nonlinear transient models

    The aim of this paper is to study two-time-scale nonlinear transient models and their associated parameter identification. When it is possible to consider two well-separated time scales, and when the fast comp...

    Guillaume Puel and Denis Aubry

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:8

    Published on: 9 June 2015

  7. Research Article

    Estimation of the validity domain of hyper-reduction approximations in generalized standard elastoviscoplasticity

    We propose an a posteriori estimator of the error of hyper-reduced predictions for elastoviscoplastic problems. For a given fixed mesh, this error estimator aims to forecast the validity domain in the paramete...

    David Ryckelynck, Laurent Gallimard and Samuel Jules

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:6

    Published on: 19 May 2015

  8. Research Article

    Estimation of error in observables of coarse-grained models of atomic systems

    The use of coarse-grained approximations of atomic systems is the most common methods of constructing reduced-order models in computational science. However, the issue of central importance in developing these...

    John Tinsley Oden, Kathryn Farrell and Danial Faghihi

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:5

    Published on: 3 May 2015