Registration-Based Model Reduction in Complex Two-Dimensional Geometries

A Comprehensive Deep Learning-Based Approach to Reduced Order Modeling of Nonlinear Time-Dependent Parametrized PDEs

(2021) Stefania Fresca et al.   JOURNAL OF SCIENTIFIC COMPUTING

A discretize-then-map approach for the treatment of parameterized geometries in model order reduction

(2021) Tommaso Taddei et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method

(2020) M.J. Zahr et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs

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

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

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

Reduced order modeling for nonlinear structural analysis using Gaussian process regression

(2018) Mengwu Guo et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions

(2018) M.J. Zahr et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Geometric Subspace Updates with Applications to Online Adaptive Nonlinear Model Reduction

(2018) Ralf Zimmermann et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena

(2018) J. Reiss et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Transported snapshot model order reduction approach for parametric, steady-state fluid flows containing parameter-dependent shocks

(2018) Nirmal J. Nair 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

Reduced basis techniques for nonlinear conservation laws

(2015) T. Taddei et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Advection modes by optimal mass transfer

(2014) Angelo Iollo et al.   PHYSICAL REVIEW E

Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing

(2013) Mario Ohlberger et al.   COMPTES RENDUS MATHEMATIQUE

Model reduction techniques for fast blood flow simulation in parametrized geometries

(2011) Andrea Manzoni et al.   International Journal for Numerical Methods in Biomedical Engineering

Une méthode combinée d'éléments finis à deux grilles/bases réduites pour l'approximation des solutions d'une E.D.P. paramétrique

(2009) Rachida Chakir et al.   COMPTES RENDUS MATHEMATIQUE

Interpolation Method for Adapting Reduced-Order Models and Application to Aeroelasticity

(2008) D. Amsallem et al.   AIAA JOURNAL

Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations

(2008) G. Rozza et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING