A non-intrusive reduced basis approach for parametrized heat transfer problems

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Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods

Christophe Prud'Homme, Dimitrios Rovas, Karen Veroy et al. · Journal of Fluids Engineering · 2001 · 560 citations · Full text

Mathematical Programming, Numerical Analysis, Reduced Order Modeling +17

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 · 497 citations · Full text

Numerical Analysis, Numerical Method For Partial Differential Equation, Reduced Order Modeling +12

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 · 343 citations

Numerical Analysis, Parameter Estimation, Engineering +14

On the stability of the reduced basis method for Stokes equations in parametrized domains

Gianluigi Rozza, Karen Veroy · Computer Methods in Applied Mechanics and Engineering · 2006 · 284 citations · Full text

Numerical Analysis, Method Of Fundamental Solution, Reduced Order Modeling +10