Reduced Basis Approaches for Parametrized Bifurcation Problems held by Non-linear Von Kármán Equations

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

Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

Martin Grepl, Yvon Maday, Ngoc Cuong Nguyen et al. · ESAIM Mathematical Modelling and Numerical Analysis · 2007 · 503 citations · Full text

Natural Sciences, Mathematics, Computational Fluid Dynamics +9

Reduced Basis Technique for Nonlinear Analysis of Structures

Ahmed K. Noor, Jeanne M. Peters · AIAA Journal · 1980 · 413 citations

Engineering, Civil Engineering, Computational Engineering +17

Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis <i>a posteriori</i> error bounds

Karen Veroy, Anthony T. Patera · International Journal for Numerical Methods in Fluids · 2005 · 348 citations

Natural Sciences, Computational Engineering, Mechanical Engineering +15