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

Nonlinear Model Reduction via Discrete Empirical Interpolation

Saifon Chaturantabut, Danny C. Sorensen · SIAM Journal on Scientific Computing · 2010 · 1.9K citations

Computing, Computational Engineering, Computational Fluid Dynamics +15

An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations

Maxime Barrault, Yvon Maday, Ngoc Cuong Nguyen et al. · Comptes Rendus Mathématique · 2004 · 1.5K citations

Natural Sciences, Physics, Computational Mechanics +13

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

Gianluigi Rozza, D.B.P. Huynh, A.T. Patera · Archives of Computational Methods in Engineering · 2008 · 1.1K citations · Full text

Computing, Computer Science, Mathematics +16

A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids

Amine Ammar, Béchir Mokdad, Francisco Chinesta et al. · Journal of Non-Newtonian Fluid Mechanics · 2006 · 534 citations · Full text

Natural Sciences, Mathematics, Physics +17

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

Francisco Chinesta, Amine Ammar, Elías Cueto · Archives of Computational Methods in Engineering · 2010 · 361 citations · Full text

Business, Computational Engineering, Optimization +8