Dealing with a nonlinear material behavior and its variability through PGD models: Application to reinforced concrete structures

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

The Expression of a Tensor or a Polyadic as a Sum of Products

Frank L. Hitchcock · Journal of Mathematics and Physics · 1927 · 1.4K citations

Natural Sciences, Mathematics, Algebra +2

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