A Short Review on Model Order Reduction Based on Proper Generalized Decomposition

Non incremental strategies based on separated representations: applications in computational rheology

(2013) A. Ammar et al.   Communications in Mathematical Sciences

Methodological approach to efficient modeling and optimization of thermal processes taking place in a die: Application to pultrusion

(2011) Ch. Ghnatios et al.   COMPOSITES PART A-APPLIED SCIENCE AND MANUFACTURING

On the verification of model reduction methods based on the proper generalized decomposition

(2011) Pierre Ladevèze et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

COUPLING FINITE ELEMENTS AND PROPER GENERALIZED DECOMPOSITIONS

(2011) A. Ammar et al.   International Journal for Multiscale Computational Engineering

An overview of the proper generalized decomposition with applications in computational rheology

(2011) F. Chinesta et al.   JOURNAL OF NON-NEWTONIAN FLUID MECHANICS

Routes for Efficient Computational Homogenization of Nonlinear Materials Using the Proper Generalized Decompositions

(2010) H. Lamari et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

A First Step Towards the Use of Proper General Decomposition Method for Structural Optimization

(2010) A. Leygue et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Proper Generalized Decomposition for Multiscale and Multiphysics Problems

(2010) David Néron et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Solution of Strongly Coupled Multiphysics Problems Using Space-Time Separated Representations—Application to Thermoviscoelasticity

(2010) M. Beringhier et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Proper Generalized Decompositions and Separated Representations for the Numerical Solution of High Dimensional Stochastic Problems

(2010) Anthony Nouy   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Recent Advances and New Challenges in the Use of the Proper Generalized Decomposition for Solving Multidimensional Models

(2010) Francisco Chinesta et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

On the Convergence of a Greedy Rank-One Update Algorithm for a Class of Linear Systems

(2010) A. Ammar et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Simulation of skin effect via separated representations

(2010) M. Pineda‐Sanchez et al.   COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING

A scalable time–space multiscale domain decomposition method: adaptive time scale separation

(2010) J.-C. Passieux et al.   COMPUTATIONAL MECHANICS

An error estimator for separated representations of highly multidimensional models

(2010) A. Ammar et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A priori model reduction through Proper Generalized Decomposition for solving time-dependent partial differential equations

(2010) Anthony Nouy   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Non-incremental boundary element discretization of parabolic models based on the use of the proper generalized decompositions

(2010) G. Bonithon et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Virtual testing for the prediction of damping in joints

(2010) A. Caignot et al.   ENGINEERING COMPUTATIONS

Proper general decomposition (PGD) for the resolution of Navier–Stokes equations

(2010) A. Dumon et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Proper Generalized Decomposition for the solution of elliptic problems in abstract form by using a functional Eckart–Young approach

(2010) A. Falcó et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Solving parametric complex fluids models in rheometric flows

(2010) A. Ammar et al.   JOURNAL OF NON-NEWTONIAN FLUID MECHANICS

A fully deterministic micro–macro simulation of complex flows involving reversible network fluid models

(2010) B. Mokdad et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

On the deterministic solution of multidimensional parametric models using the Proper Generalized Decomposition

(2010) E. Pruliere et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

SUPG-based stabilization using a separated representations approach

(2010) D. González et al.   International Journal of Material Forming

Efficient mold cooling optimization by using model reduction

(2010) Fabrice Schmidt et al.   International Journal of Material Forming

An efficient reduced simulation of residual stresses in composite forming processes

(2010) Etienne Prulière et al.   International Journal of Material Forming

Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations

(2009) Anthony Nouy   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

On the solution of the Fokker–Planck equation using a high-order reduced basis approximation

(2009) G.M. Leonenko et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

The LATIN multiscale computational method and the Proper Generalized Decomposition

(2009) P. Ladevèze et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Results and Questions on a Nonlinear Approximation Approach for Solving High-dimensional Partial Differential Equations

(2009) C. Le Bris et al.   CONSTRUCTIVE APPROXIMATION

The Nanometric and Micrometric Scales of the Structure and Mechanics of Materials Revisited: An Introduction to the Challenges of Fully Deterministic Numerical Descriptions

(2009) A. Ammar et al.   International Journal for Multiscale Computational Engineering

Proper generalized decomposition of multiscale models

(2009) F. Chinesta et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Reduced numerical modeling of flows involving liquid-crystalline polymers

(2009) A. Ammar et al.   JOURNAL OF NON-NEWTONIAN FLUID MECHANICS

Recirculating Flows Involving Short Fiber Suspensions: Numerical Difficulties and Efficient Advanced Micro-Macro Solvers

(2008) Etienne Pruliere et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Micromodel-based simulations for laminated composites

(2008) David Violeau et al.   COMPOSITES SCIENCE AND TECHNOLOGY

Real-time deformable models of non-linear tissues by model reduction techniques

(2008) S. Niroomandi et al.   COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE

Generalized spectral decomposition method for solving stochastic finite element equations: Invariant subspace problem and dedicated algorithms

(2008) Anthony Nouy   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A computational strategy for thermo-poroelastic structures with a time-space interface coupling

(2008) D. Néron et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Generalized spectral decomposition for stochastic nonlinear problems

(2008) Anthony Nouy et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Alleviating mesh constraints: Model reduction, parallel time integration and high resolution homogenization

(2007) F. Chinesta et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A computational strategy for poroelastic problems with a time interface between coupled physics

(2007) D. Néron et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING