kPCA-Based Parametric Solutions Within the PGD Framework

Computational vademecums for the real-time simulation of haptic collision between nonlinear solids

(2015) David González et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A framework for optimal kernel-based manifold embedding of medical image data

(2015) Veronika A. Zimmer et al.   COMPUTERIZED MEDICAL IMAGING AND GRAPHICS

Parametric solution of the Rayleigh-Benard convection model by using the PGD

(2015) Saeid Aghighi et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Virtual charts of solutions for parametrized nonlinear equations

(2014) Matthieu Vitse et al.   COMPUTATIONAL MECHANICS

Real-time direct integration of reduced solid dynamics equations

(2014) David González et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Real-time monitoring of thermal processes by reduced-order modeling

(2014) José V. Aguado et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

PGD-Based Computational Vademecum for Efficient Design, Optimization and Control

(2013) F. Chinesta et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

FE2 multiscale in linear elasticity based on parametrized microscale models using proper generalized decomposition

(2013) F. El Halabi et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A rational strategy for the resolution of parametrized problems in the PGD framework

(2013) Ch. Heyberger et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Nonlinear manifold learning for model reduction in finite elastodynamics

(2013) Daniel Millán et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Parametric solutions involving geometry: A step towards efficient shape optimization

(2013) Amine Ammar et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Real-time simulation of biological soft tissues: a PGD approach

(2013) S. Niroomandi et al.   International Journal for Numerical Methods in Biomedical Engineering

A reduced computational and geometrical framework for inverse problems in hemodynamics

(2013) Toni Lassila et al.   International Journal for Numerical Methods in Biomedical Engineering

Shape Optimization by Free-Form Deformation: Existence Results and Numerical Solution for Stokes Flows

(2013) Francesco Ballarin et al.   JOURNAL OF SCIENTIFIC COMPUTING

Proper Generalized Decomposition based dynamic data driven inverse identification

(2012) D. González et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Computational Reduction for Parametrized PDEs: Strategies and Applications

(2012) Andrea Manzoni et al.   Milan Journal of Mathematics

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

(2011) Francisco Chinesta et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

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

Proper Generalized Decomposition based dynamic data-driven control of thermal processes

(2011) Ch. Ghnatios et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity

(2011) B. Bognet et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Model reduction techniques for fast blood flow simulation in parametrized geometries

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

Proper generalized decomposition of time-multiscale models

(2011) Amine Ammar et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Shape optimization for viscous flows by reduced basis methods and free-form deformation

(2011) Andrea Manzoni et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

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

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

Towards Real-Time Computational-Fluid-Dynamics-Based Aeroelastic Computations Using a Database of Reduced-Order Information

(2010) David Amsallem et al.   AIAA JOURNAL

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

(2010) H. Lamari et al.   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

Parametric free-form shape design with PDE models and reduced basis method

(2010) Toni Lassila et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Solving parametric complex fluids models in rheometric flows

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

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

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

Nonlinear Model Reduction via Discrete Empirical Interpolation

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

Proper generalized decomposition of multiscale models

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

Estimation of time-varying heat sources through inversion of a low order model built with the Modal Identification Method from in-situ temperature measurements

(2009) M. Girault et al.   INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

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

Heat source identification and on-line temperature control by a Branch Eigenmodes Reduced Model

(2008) Etienne Videcoq et al.   INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER