The Reference Point Method, a “hyperreduction” technique: Application to PGD-based nonlinear model reduction

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

An introduction to the proper orthogonal decomposition

Anindya Chatterjee · Current Science · 2000 · 1K citations

Computing, Computational Engineering, Computational Geometry +12

Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics.

J. Tinsley Oden, Roland Glowinski, Patrick Le Tallec · Mathematics of Computation · 1992 · 1K citations

Engineering, Mechanical Engineering, Applied Mechanics +16