Hierarchical model reduction at multiple scales

Zheng Yuan; Jacob Fish

doi:10.1002/nme.2554

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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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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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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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 for Advection-Diffusion-Reaction Problems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_84 ◽

2008 ◽

pp. 703-710 ◽

Cited By ~ 13

Author(s):

A. Ern ◽

S. Perotto ◽

A. Veneziani

Keyword(s):

Model Reduction ◽

Hierarchical Model ◽

Diffusion Reaction ◽

Advection Diffusion

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Space–time adaptive hierarchical model reduction for parabolic equations

Advanced Modeling and Simulation in Engineering Sciences ◽

10.1186/s40323-015-0046-4 ◽

2015 ◽

Vol 2 (1) ◽

Cited By ~ 6

Author(s):

Simona Perotto ◽

Alessandro Zilio

Keyword(s):

Model Reduction ◽

Hierarchical Model ◽

Parabolic Equations ◽

Space Time

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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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Partitioning variation in Douglas-fir xylem properties among multiple scales via a Bayesian hierarchical model

Tree Physiology ◽

10.1093/treephys/28.7.1017 ◽

2008 ◽

Vol 28 (7) ◽

pp. 1017-1024 ◽

Cited By ~ 3

Author(s):

S. M. Dunham ◽

L. M. Ganio ◽

A. I. Gitelman ◽

B. Lachenbruch

Keyword(s):

Hierarchical Model ◽

Multiple Scales ◽

Bayesian Hierarchical Model ◽

Douglas Fir ◽

Bayesian Hierarchical

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Hierarchical Model Reduction: Three Different Approaches

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_88 ◽

2012 ◽

pp. 851-859 ◽

Cited By ~ 3

Author(s):

S. Perotto ◽

A. Zilio

Keyword(s):

Model Reduction ◽

Hierarchical Model

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A Dimensional Reduction Approach Based on the Application of Reduced Basis Methods in the Framework of Hierarchical Model Reduction

SIAM Journal on Scientific Computing ◽

10.1137/130939122 ◽

2014 ◽

Vol 36 (2) ◽

pp. A714-A736 ◽

Cited By ~ 4

Author(s):

Mario Ohlberger ◽

Kathrin Smetana

Keyword(s):

Model Reduction ◽

Hierarchical Model ◽

Dimensional Reduction ◽

Reduced Basis ◽

Reduced Basis Methods ◽

Reduction Approach

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