Proper Generalized Decomposition Based Model Reduction: First Steps Towards a Change of Paradigm in Computational Mechanics

Computational Science, Engineering & Technology Series - Computational Methods for Engineering Science ◽

10.4203/csets.30.10 ◽

2012 ◽

pp. 237-264

Author(s):

F. Chinesta ◽

A. Leygue ◽

F. Bordeu ◽

E. Cueto ◽

A. Ammar

Keyword(s):

Model Reduction ◽

Computational Mechanics ◽

Proper Generalized Decomposition

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On the Use of Proper Generalized Decomposition and Model Reduction Techniques for Structural Optimization Problems

Proceedings of the Seventh International Conference on Engineering Computational Technology ◽

10.4203/ccp.94.45 ◽

2010 ◽

Author(s):

E. Verron ◽

A. Leygue

Keyword(s):

Structural Optimization ◽

Model Reduction ◽

Optimization Problems ◽

Proper Generalized Decomposition ◽

Reduction Techniques

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Model Reduction Based on Proper Generalized Decomposition for the Stochastic Steady Incompressible Navier--Stokes Equations

SIAM Journal on Scientific Computing ◽

10.1137/120878999 ◽

2014 ◽

Vol 36 (3) ◽

pp. A1089-A1117 ◽

Cited By ~ 17

Author(s):

L. Tamellini ◽

O. Le Maître ◽

A. Nouy

Keyword(s):

Model Reduction ◽

Stokes Equations ◽

Navier Stokes ◽

Proper Generalized Decomposition ◽

Navier Stokes Equations

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A priori model reduction through Proper Generalized Decomposition for solving time-dependent partial differential equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2010.01.009 ◽

2010 ◽

Vol 199 (23-24) ◽

pp. 1603-1626 ◽

Cited By ~ 162

Author(s):

Anthony Nouy

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Model Reduction ◽

A Priori ◽

Time Dependent ◽

Proper Generalized Decomposition ◽

Partial Differential

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Proper Generalized Decomposition model reduction in the Bayesian framework for solving inverse heat transfer problems

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2016.1160395 ◽

2016 ◽

Vol 25 (2) ◽

pp. 260-278 ◽

Cited By ~ 9

Author(s):

Julien Berger ◽

Helcio R. B. Orlande ◽

Nathan Mendes

Keyword(s):

Heat Transfer ◽

Model Reduction ◽

Bayesian Framework ◽

Proper Generalized Decomposition ◽

Decomposition Model ◽

Inverse Heat Transfer ◽

Transfer Problems

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Multi-physic 3D dynamic modelling of polymer membranes with a proper generalized decomposition model reduction approach

Electrochimica Acta ◽

10.1016/j.electacta.2011.07.019 ◽

2011 ◽

Vol 57 ◽

pp. 250-256 ◽

Cited By ~ 11

Author(s):

P. Alotto ◽

M. Guarnieri ◽

F. Moro ◽

A. Stella

Keyword(s):

Model Reduction ◽

Dynamic Modelling ◽

Polymer Membranes ◽

Proper Generalized Decomposition ◽

Decomposition Model ◽

Reduction Approach

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EVALUATING MODEL REDUCTION METHODS FOR HEAT AND MASS TRANSFER IN POROUS MATERIALS: PROPER ORTHOGONAL DECOMPOSITION AND PROPER GENERALIZED DECOMPOSITION

Journal of Porous Media ◽

10.1615/jpormedia.2019029049 ◽

2019 ◽

Vol 22 (3) ◽

pp. 363-385 ◽

Cited By ~ 1

Author(s):

Julien Berger ◽

S. Guernouti ◽

M. Woloszyn

Keyword(s):

Mass Transfer ◽

Proper Orthogonal Decomposition ◽

Porous Materials ◽

Model Reduction ◽

Heat And Mass Transfer ◽

Orthogonal Decomposition ◽

Proper Generalized Decomposition ◽

Reduction Methods ◽

Proper Orthogonal

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Model Reduction by Separation of Variables: A Comparison Between Hierarchical Model Reduction and Proper Generalized Decomposition

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 ◽

10.1007/978-3-030-39647-3_4 ◽

2020 ◽

pp. 61-77 ◽

Cited By ~ 1

Author(s):

Simona Perotto ◽

Michele Giuliano Carlino ◽

Francesco Ballarin

Keyword(s):

Model Reduction ◽

Hierarchical Model ◽

Separation Of Variables ◽

Proper Generalized Decomposition

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On the verification of model reduction methods based on the proper generalized decomposition

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2011.02.019 ◽

2011 ◽

Vol 200 (23-24) ◽

pp. 2032-2047 ◽

Cited By ~ 75

Author(s):

Pierre Ladevèze ◽

Ludovic Chamoin

Keyword(s):

Model Reduction ◽

Proper Generalized Decomposition ◽

Reduction Methods

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The proper generalized decomposition: a powerful tool for model reduction

International Journal of Material Forming ◽

10.1007/s12289-009-0647-x ◽

2009 ◽

Vol 3 (2) ◽

pp. 89-102 ◽

Cited By ~ 9

Author(s):

Amine Ammar

Keyword(s):

Model Reduction ◽

Proper Generalized Decomposition

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Coupling finite element and reliability analysis through proper generalized decomposition model reduction

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4548 ◽

2013 ◽

Vol 95 (13) ◽

pp. 1079-1093 ◽

Cited By ~ 15

Author(s):

L. Gallimard ◽

P. Vidal ◽

O. Polit

Keyword(s):

Finite Element ◽

Model Reduction ◽

Reliability Analysis ◽

Proper Generalized Decomposition ◽

Decomposition Model

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