A new error bound for reduced basis approximation of parabolic partial differential equationsURBAN, Karsten; PATERA, Anthony T.Comptes rendus. Mathématique. 2012, Vol 350, Num 3-4, pp 203-207, issn 1631-073X, 5 p.Article

A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equationsGREPL, Martin A; PATERA, Anthony T.Modélisation mathématique et analyse numérique (Print). 2005, Vol 39, Num 1, pp 157-181, issn 0764-583X, 25 p.Article

Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equationsMADAY, Yvon; PATERA, Anthony T; TURINICI, G et al.Comptes rendus. Mathématique. 2002, Vol 335, Num 3, pp 289-294, issn 1631-073XArticle

A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equationsMADAY, Yvon; PATERA, Anthony T; TURINICI, Gabriel et al.Journal of scientific computing. 2002, Vol 17, Num 1-4, pp 437-446, issn 0885-7474Conference Paper

Reduced-basis approximation of the viscous Burgers equation: rigorous a posteriori error boundsVEROY, Karen; PRUD'HOMME, Christophe; PATERA, Anthony T et al.Comptes rendus. Mathématique. 2003, Vol 337, Num 9, pp 619-624, issn 1631-073X, 6 p.Article

A variationally consistent finite element approach to the two-fluid internal contact-line problemHADJICONSTANTINOU, Nicolas G; PATERA, Anthony T.International journal for numerical methods in fluids. 2000, Vol 34, Num 8, pp 711-727, issn 0271-2091Article

A STATIC CONDENSATION REDUCED BASIS ELEMENT METHOD: APPROXIMATION AND A POSTERIORI ERROR ESTIMATIONPHUONG HUYNH, Dinh Bao; KNEZEVIC, David J; PATERA, Anthony T et al.Modélisation mathématique et analyse numérique (Imprimé). 2013, Vol 47, Num 1, pp 213-251, issn 0764-583X, 39 p.Article

AN hp CERTIFIED REDUCED BASIS METHOD FOR PARAMETRIZED ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONSEFTANG, Jens L; PATERA, Anthony T; RØNQUIST, Einar M et al.SIAM journal on scientific computing (Print). 2011, Vol 32, Num 6, pp 3170-3200, issn 1064-8275, 31 p.Article

A posteriori error bounds for the empirical interpolation methodEFTANG, Jens L; GREPL, Martin A; PATERA, Anthony T et al.Comptes rendus. Mathématique. 2010, Vol 348, Num 9-10, pp 575-579, issn 1631-073X, 5 p.Article

An 'empirical interpolation' method: application to efficient reduced-basis discretization of partial differential equationsBARRAULT, Maxime; MADAY, Yvon; NGOC CUONG NGUYEN et al.Comptes rendus. Mathématique. 2004, Vol 339, Num 9, pp 667-672, issn 1631-073X, 6 p.Article

A mathematical and computational framework for reliable real-time solution of parametrized partial differential equationsPRUD'HOMME, Christophe; ROVAS, Dimitrios V; VEROY, Karen et al.Modélisation mathématique et analyse numérique (Print). 2002, Vol 36, Num 5, pp 747-771, issn 0764-583X, 25 p.Article

A reduced basis approach for variational problems with stochastic parameters: Application to heat conduction with variable Robin coefficientBOYAVAL, Sébastien; LE BRIS, Claude; MADAY, Yvon et al.Computer methods in applied mechanics and engineering. 2009, Vol 198, Num 41-44, pp 3187-3206, issn 0045-7825, 20 p.Article