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  1. 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

  2. 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

  3. 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

  4. 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

  5. Research article

    On the use of model order reduction for simulating automated fibre placement processes

    Automated fibre placement (AFP) is an incipient manufacturing process for composite structures. Despite its conceptual simplicity it involves many complexities related to the necessity of melting the thermopla...

    Nicolas Bur, Pierre Joyot, Chady Ghnatios, Pierre Villon, Elías Cueto and Francisco Chinesta

    Advanced Modeling and Simulation in Engineering Sciences 2016 3:4

    Published on: 5 March 2016

  6. Research Article

    Numerical study of the square-root conformation tensor formulation for confined and free-surface viscoelastic fluid flows

    We present a numerical study of a stabilization method for computing confined and free-surface flows of highly elastic viscoelastic fluids. In this approach, the constitutive equation based on the conformation...

    Irineu L. Palhares Junior, Cassio M. Oishi, Alexandre M. Afonso, Manuel A. Alves and Fernando T. Pinho

    Advanced Modeling and Simulation in Engineering Sciences 2016 3:2

    Published on: 23 February 2016

  7. 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

  8. Research Article

    Modeling cell adhesion and proliferation: a cellular-automata based approach

    Cell adhesion is a process that involves the interaction between the cell membrane and another surface, either a cell or a substrate. Unlike experimental tests, computer models can simulate processes and study...

    J. Vivas, D. Garzón-Alvarado and M. Cerrolaza

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:32

    Published on: 2 December 2015

  9. 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

  10. 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

  11. 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

  12. Research Article

    3D numerical models using a fluid or a solid formulation of FSW processes with a non-cylindrical pin

    Friction stir welding process is a relatively recent welding process (patented in 1991). FSW is a solid-state joining process during which materials to be joined are not melted. During the FSW process, the beh...

    Philippe Bussetta, Narges Dialami, Michele Chiumenti, Carlos Agelet de Saracibar, Miguel Cervera, Romain Boman and Jean-Philippe Ponthot

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:27

    Published on: 18 November 2015

  13. Research article

    ASTER Shell: a simple concept to significantly increase the plastic buckling strength of short cylinders subjected to combined external pressure and axial compression

    This paper proposes a new type of shell, similar to a cylindrical shell, which has significantly higher buckling strength when subjected to an arbitrary combination of uniform external pressure and axial compr...

    Alain Combescure and Jean-Francois Jullien

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:26

    Published on: 13 October 2015

  14. 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

  15. Research article

    High order cut finite element methods for the Stokes problem

    We develop a high order cut finite element method for the Stokes problem based on general inf-sup stable finite element spaces. We focus in particular on composite meshes consisting of one mesh that overlaps a...

    August Johansson, Mats G. Larson and Anders Logg

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:24

    Published on: 25 September 2015

  16. Research article

    On the multi-scale description of electrical conducting suspensions involving perfectly dispersed rods

    Nanocomposites allow for a significant enhancement of functional properties, in particular electrical conduction. In order to optimize materials and parts, predictive models are required to evaluate particle d...

    Marta Perez, Emmanuelle Abisset-Chavanne, Anais Barasinski, Francisco Chinesta, Amine Ammar and Roland Keunings

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:23

    Published on: 17 September 2015

  17. Research article

    Effect of reinforcement volume fraction and orientation on a hybrid tissue engineered aortic heart valve with a tubular leaflet design

    Transcatheter aortic valve implantation of fibrin-based tissue engineered heart valves with a tubular leaflet construct have been developed as an alternative to invasive traditional surgical heart valve implan...

    Scott E Stapleton, Ricardo Moreira, Stefan Jockenhoevel, Petra Mela and Stefanie Reese

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:21

    Published on: 13 August 2015

  18. Research article

    The role of cell lysis and matrix deposition in tumor growth modeling

    The multiphase model for tumor growth, proposed by the authors in previous works, is here enhanced. The original model includes a solid phase, the extracellular matrix (ECM) and three fluid phases: living and...

    R Santagiuliana, C Stigliano, P Mascheroni, M Ferrari, P Decuzzi and B A Schrefler

    Advanced Modeling and Simulation in Engineering Sciences 2015 2:19

    Published on: 8 August 2015

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