Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction

Data-driven reduced-order models via regularised Operator Inference for a single-injector combustion process

(2021) Shane A. McQuarrie et al.   JOURNAL OF THE ROYAL SOCIETY OF NEW ZEALAND

Model reduction framework with a new take on active subspaces for optimization problems with linearized fluid‐structure interaction constraints

(2020) Gabriele Boncoraglio et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Projection-based model reduction with dynamically transformed modes

(2020) Felix Black et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows

(2020) Sebastian Grimberg et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Mesh sampling and weighting for the hyperreduction of nonlinear Petrov–Galerkin reduced‐order models with local reduced‐order bases

(2020) Sebastian Grimberg et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Kolmogorov n-widths for linear dynamical systems

(2019) Benjamin Unger et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Feasible Probabilistic Learning Method for Model-Form Uncertainty Quantification in Vibration Analysis

(2019) Charbel Farhat et al.   AIAA JOURNAL

Decay of the Kolmogorov N-width for wave problems

(2019) Constantin Greif et al.   APPLIED MATHEMATICS LETTERS

Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

(2019) Kookjin Lee et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Accelerated mesh sampling for the hyper reduction of nonlinear computational models

(2017) Todd Chapman et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A multilevel projection-based model order reduction framework for nonlinear dynamic multiscale problems in structural and solid mechanics

(2017) Matthew J. Zahr et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Interpolation of Functions with Parameter Dependent Jumps by Transformed Snapshots

(2017) G. Welper   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A nonparametric probabilistic approach for quantifying uncertainties in low-dimensional and high-dimensional nonlinear models

(2016) C. Soize et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models

(2015) Charbel Farhat et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Proper Orthogonal Decomposition Reduced-Order Model for Nonlinear Aeroelastic Oscillations

(2014) Dan Xie et al.   AIAA JOURNAL

High-performance model reduction techniques in computational multiscale homogenization

(2014) J.A. Hernández et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency

(2014) Charbel Farhat et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

An adaptive and efficient greedy procedure for the optimal training of parametric reduced-order models

(2014) A. Paul-Dubois-Taine et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Experimental Investigations of the NASA Common Research Model

(2014) Melissa B. Rivers et al.   JOURNAL OF AIRCRAFT

The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows

(2013) Kevin Carlberg et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control

(2013) B. Besselink et al.   JOURNAL OF SOUND AND VIBRATION

Model Reduction of Computational Aerothermodynamics for Hypersonic Aerothermoelasticity

(2012) Andrew R. Crowell et al.   AIAA JOURNAL

A prioriconvergence of the Greedy algorithm for the parametrized reduced basis method

(2012) Annalisa Buffa et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Stabilization of projection-based reduced-order models

(2012) David Amsallem et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Nonlinear model order reduction based on local reduced-order bases

(2012) David Amsallem et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Structural topology optimization for frequency response problem using model reduction schemes

(2010) Gil Ho Yoon   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations

(2010) Kevin Carlberg et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Nonlinear Model Reduction via Discrete Empirical Interpolation

(2010) Saifon Chaturantabut et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING