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Turbulence and the dynamics of coherent structures. III. Dynamics and scaling
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journal
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January 1987 |
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Goal-oriented, model-constrained optimization for reduction of large-scale systems
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journal
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June 2007 |
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Turbulence, Coherent Structures, Dynamical Systems and Symmetry
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book
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January 2012 |
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Reduced order modeling of fluid flows: Machine learning, Kolmogorov barrier, closure modeling, and partitioning (Invited)
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conference
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June 2020 |
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A Reduced-Order Method for Simulation and Control of Fluid Flows
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journal
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July 1998 |
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The variational multiscale method—a paradigm for computational mechanics
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journal
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November 1998 |
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Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders
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journal
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November 2019 |
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PEBL-ROM: Projection-error based local reduced-order models
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journal
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March 2016 |
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Stochastic Tools in Mathematics and Science
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book
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January 2009 |
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Nonlinear proper orthogonal decomposition for convection-dominated flows
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journal
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December 2021 |
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Progressive construction of a parametric reduced-order model for PDE-constrained optimization: PDE-CONSTRAINED OPTIMIZATION USING A PROGRESSIVELY CONSTRUCTED ROM
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journal
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December 2014 |
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Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization
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journal
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January 2018 |
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Proper orthogonal decomposition closure models for turbulent flows: A numerical comparison
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journal
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September 2012 |
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Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism
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journal
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June 2020 |
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Deep Learning with Long Short-Term Memory for Time Series Prediction
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journal
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June 2019 |
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POD-Galerkin approximations in PDE-constrained optimization
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journal
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October 2010 |
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Data-driven variational multiscale reduced order models
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journal
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January 2021 |
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Transport, Collective Motion, and Brownian Motion
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journal
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March 1965 |
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Data-driven POD-Galerkin reduced order model for turbulent flows
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journal
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September 2020 |
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Time-series machine-learning error models for approximate solutions to parameterized dynamical systems
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journal
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June 2020 |
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Variational multiscale proper orthogonal decomposition: Convection-dominated convection-diffusion-reaction equations
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journal
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March 2013 |
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On closures for reduced order models—A spectrum of first-principle to machine-learned avenues
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journal
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September 2021 |
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Breaking the Kolmogorov Barrier in Model Reduction of Fluid Flows
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journal
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February 2020 |
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Data-Driven Filtered Reduced Order Modeling of Fluid Flows
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journal
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January 2018 |
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Blending Modified Gaussian Closure and Non-Gaussian Reduced Subspace Methods for Turbulent Dynamical Systems
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journal
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July 2013 |
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Optimal prediction and the Mori-Zwanzig representation of irreversible processes
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journal
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March 2000 |
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A POD-Galerkin reduced order model for a LES filtering approach
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journal
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July 2021 |
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Optimal prediction with memory
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journal
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June 2002 |
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Comparative numerical analysis using reduced-order modeling strategies for nonlinear large-scale systems
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journal
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January 2017 |
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The ROMES Method for Statistical Modeling of Reduced-Order-Model Error
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journal
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January 2015 |
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Machine-learning error models for approximate solutions to parameterized systems of nonlinear equations
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journal
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May 2019 |
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Model Order Reduction a Key Technology for Digital Twins
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book
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January 2018 |
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Renormalized Mori–Zwanzig-reduced models for systems without scale separation
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journal
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April 2015 |
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Comparison of POD reduced order strategies for the nonlinear 2D shallow water equations: POD STRATEGIES FOR 2D SWE
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journal
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August 2014 |
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Digital Twin in Industry: State-of-the-Art
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journal
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April 2019 |
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A dynamic closure modeling framework for model order reduction of geophysical flows
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journal
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April 2019 |
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Extreme learning machine for reduced order modeling of turbulent geophysical flows
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journal
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April 2018 |
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Modal Analysis of Fluid Flows: An Overview
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journal
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December 2017 |
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Model Reduction for Flow Analysis and Control
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journal
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January 2017 |
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In silico trials: Verification, validation and uncertainty quantification of predictive models used in the regulatory evaluation of biomedical products
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journal
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January 2021 |
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Nonlinear closure modeling in reduced order models for turbulent flows: a dynamical system approach
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journal
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July 2019 |
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Model fusion with physics-guided machine learning: Projection-based reduced-order modeling
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journal
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June 2021 |
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The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows
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journal
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January 1999 |
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Breaking the Kolmogorov Barrier with Nonlinear Model Reduction
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journal
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May 2022 |
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Digital twin – Proof of concept
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journal
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January 2018 |
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Physics guided machine learning using simplified theories
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journal
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January 2021 |
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Turbulence and the dynamics of coherent structures. II. Symmetries and transformations
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journal
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January 1987 |
|
Neural closure models for dynamical systems
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journal
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August 2021 |
|
Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier–Stokes equations
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journal
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September 2016 |
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Galerkin v. least-squares Petrov–Galerkin projection in nonlinear model reduction
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journal
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February 2017 |
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Nonequilibrium Statistical Mechanics
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book
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April 2001 |
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Verifiability of the Data-Driven Variational Multiscale Reduced Order Model
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journal
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October 2022 |
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Digital Twin: Values, Challenges and Enablers From a Modeling Perspective
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journal
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January 2020 |
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Projection-based model reduction: Formulations for physics-based machine learning
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journal
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January 2019 |
|
Turbulence and the dynamics of coherent structures. I. Coherent structures
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journal
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January 1987 |
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Efficient High-Resolution Wake Modeling Using the Vorticity Transport Equation
|
journal
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July 2005 |
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A long short-term memory embedding for hybrid uplifted reduced order models
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journal
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August 2020 |
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New POD Error Expressions, Error Bounds, and Asymptotic Results for Reduced Order Models of Parabolic PDEs
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journal
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January 2014 |
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A probabilistic graphical model foundation for enabling predictive digital twins at scale
|
journal
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May 2021 |
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Data-Driven Discovery of Closure Models
|
journal
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January 2018 |
|
Design optimization using hyper-reduced-order models
|
journal
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November 2014 |
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Reduced-order modeling: new approaches for computational physics
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journal
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February 2004 |
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Interpolation among reduced-order matrices to obtain parameterized models for design, optimization and probabilistic analysis
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journal
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January 2009 |
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Stabilization of projection-based reduced order models of the Navier–Stokes
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journal
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August 2012 |
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A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation
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journal
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May 2015 |
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Reduced Order Model Based on Principal Component Analysis for Process Simulation and Optimization †
|
journal
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March 2009 |
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Variational multiscale proper orthogonal decomposition: Navier-stokes equations: VARIATIONAL MULTISCALE POD
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journal
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December 2013 |
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Efficient estimation of cardiac conductivities via POD-DEIM model order reduction
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journal
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May 2017 |
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On the stability and extension of reduced-order Galerkin models in incompressible flows: A numerical study of vortex shedding
|
journal
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June 2009 |
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Large eddy simulation of turbulent channel flows by the variational multiscale method
|
journal
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June 2001 |
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Modal Analysis of Fluid Flows: Applications and Outlook
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journal
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March 2020 |
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A model reduction approach for the variational estimation of vascular compliance by solving an inverse fluid–structure interaction problem
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journal
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April 2014 |
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Large Eddy Simulation and the variational multiscale method
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journal
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May 2000 |
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A coarse-grid projection method for accelerating incompressible flow computations
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journal
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January 2013 |
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A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
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journal
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December 2003 |
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Stability Properties of POD-Galerkin Approximations for the Compressible Navier-Stokes Equations
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journal
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March 2000 |