An LP empirical quadrature procedure for parametrized functions

Patera, Anthony T.; Yano, Masayuki

Comptes Rendus. Mathématique, Volume 355 (2017) p. 1161-1167

A model-data weak formulation for simultaneous estimation of state and model bias

Yano, Masayuki; Penn, James D.; Patera, Anthony T.

Comptes Rendus. Mathématique, Volume 351 (2013) p. 937-941

A Static condensation Reduced Basis Element method : approximation and a posteriori error estimation

Phuong Huynh, Dinh Bao; Knezevic, David J.; Patera, Anthony T.

ESAIM: Mathematical Modelling and Numerical Analysis , Volume 47 (2013) p. 213-251

Regression on parametric manifolds: Estimation of spatial fields, functional outputs, and parameters from noisy data

Patera, Anthony T.; Rønquist, Einar M.

Comptes Rendus. Mathématique, Volume 350 (2012) p. 543-547

A new error bound for reduced basis approximation of parabolic partial differential equations

Urban, Karsten; Patera, Anthony T.

Comptes Rendus. Mathématique, Volume 350 (2012) p. 203-207

A priori convergence of the greedy algorithm for the parametrized reduced basis method

Buffa, Annalisa; Maday, Yvon; Patera, Anthony T.; Prud’homme, Christophe; Turinici, Gabriel

ESAIM: Mathematical Modelling and Numerical Analysis , Volume 46 (2012) p. 595-603

A Laplace transform certified reduced basis method; application to the heat equation and wave equation

Huynh, D.B. Phuong; Knezevic, David J.; Patera, Anthony T.

Comptes Rendus. Mathématique, Volume 349 (2011) p. 401-405

A posteriori error bounds for the empirical interpolation method

Eftang, Jens L.; Grepl, Martin A.; Patera, Anthony T.

Comptes Rendus. Mathématique, Volume 348 (2010) p. 575-579

In memoriam David Gottlieb 1944-2008

Bris, Claude Le; Patera, Anthony T.

ESAIM: Modélisation mathématique et analyse numérique, Volume 43 (2009) p. 1-1

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

Grepl, Martin A.; Maday, Yvon; Nguyen, Ngoc C.; Patera, Anthony T.

ESAIM: Modélisation mathématique et analyse numérique, Volume 41 (2007) p. 575-605

A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations

Grepl, Martin A.; Patera, Anthony T.

ESAIM: Modélisation mathématique et analyse numérique, Volume 39 (2005) p. 157-181

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

Barrault, Maxime; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.

Comptes Rendus. Mathématique, Volume 339 (2004) p. 667-672

Reduced-basis approximation of the viscous Burgers equation: rigorous a posteriori error bounds

Veroy, Karen; Prud'homme, Christophe; Patera, Anthony T.

Comptes Rendus. Mathématique, Volume 337 (2003) p. 619-624

Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations

Maday, Yvon; Patera, Anthony T.; Turinici, G.

Comptes Rendus. Mathématique, Volume 335 (2002) p. 289-294

A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations

Prud'homme, Christophe; Rovas, Dimitrios V.; Veroy, Karen; Patera, Anthony T.

ESAIM: Modélisation mathématique et analyse numérique, Volume 36 (2002) p. 747-771

A posteriori error estimation for reduced-basis approximation of parametrized elliptic coercive partial differential equations : “convex inverse” bound conditioners

Veroy, Karen; Rovas, Dimitrios V.; Patera, Anthony T.

ESAIM: Control, Optimisation and Calculus of Variations, Volume 8 (2002) p. 1007-1028