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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Hierarchical model reduction for incompressible fluids in pipes

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5726 ◽

2018 ◽

Vol 114 (5) ◽

pp. 469-500 ◽

Cited By ~ 5

Author(s):

Sofia Guzzetti ◽

Simona Perotto ◽

Alessandro Veneziani

Keyword(s):

Model Reduction ◽

Hierarchical Model ◽

Incompressible Fluids

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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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Hierarchical Model Reduction Techniques for Flow Modeling in a Parametrized Setting

Multiscale Modeling and Simulation ◽

10.1137/19m1285330 ◽

2021 ◽

Vol 19 (1) ◽

pp. 267-293

Author(s):

Matteo Zancanaro ◽

Francesco Ballarin ◽

Simona Perotto ◽

Gianluigi Rozza

Keyword(s):

Model Reduction ◽

Hierarchical Model ◽

Flow Modeling ◽

Reduction Techniques

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Efficient modeling of multimode guided acoustic wave propagation in deformed pipelines by hierarchical model reduction

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.12.008 ◽

2021 ◽

Author(s):

G.G. Gentili ◽

M. Khosronejad ◽

G. Bernasconi ◽

S. Perotto ◽

S. Micheletti

Keyword(s):

Wave Propagation ◽

Acoustic Wave ◽

Model Reduction ◽

Hierarchical Model ◽

Acoustic Wave Propagation ◽

Efficient Modeling

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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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Approximation of skewed interfaces with tensor-based model reduction procedures: Application to the reduced basis hierarchical model reduction approach

Journal of Computational Physics ◽

10.1016/j.jcp.2016.06.021 ◽

2016 ◽

Vol 321 ◽

pp. 1185-1205

Author(s):

Mario Ohlberger ◽

Kathrin Smetana

Keyword(s):

Model Reduction ◽

Hierarchical Model ◽

Reduced Basis ◽

Reduction Approach

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Hierarchical model reduction at multiple scales

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2554 ◽

2009 ◽

Vol 79 (3) ◽

pp. 314-339 ◽

Cited By ~ 30

Author(s):

Zheng Yuan ◽

Jacob Fish

Keyword(s):

Model Reduction ◽

Hierarchical Model ◽

Multiple Scales

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