Free access
Volume 43, Number 6, November-December 2009
Page(s) 1099 - 1116
Published online 21 August 2009
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  5. M.A. Grepl, Y. Maday, N.C. Nguyen and A.T. Patera. Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. ESAIM: M2AN 41 (2007) 575–605. [CrossRef] [EDP Sciences] [MathSciNet]
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  8. D.B.P. Huynh, G. Rozza, S. Sen and A.T. Patera, A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants. C. R. Acad. Sci. Paris Ser. I Math. 345 (2007) 473–478.
  9. L. Machiels, Y. Maday, I.B. Oliveira, A.T. Patera and D. Rovas, Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems. C. R. Acad. Sci. Paris Ser. I Math. 331 (2000) 153–158. [CrossRef] [MathSciNet]
  10. Y Maday, Reduced Basis Method for the Rapid and Reliable Solution of Partial Differential Equations, in Proceeding ICM Madrid (2006).
  11. Y. Maday, A.T. Patera and D.V. Rovas, A blackbox reduced-basis output bound method for noncoercive linear problems, in Nonlinear Partial Differential Equations and Their Applications, D. Cioranescu and J.L. Lions Eds., Collège de France Seminar XIV, Elsevier Science B.V. (2002) 533–569.
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  13. N.C. Nguyen, K. Veroy and A.T. Patera. Certified real-time solution of parametrized partial differential equations, in Handbook of Materials Modeling, S. Yip Ed., Springer (2005) 1523–1558.
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  16. C. Prud'homme, D. Rovas, K. Veroy, Y. Maday, A.T. Patera and G. Turinici, Reliable realtime solution of parametrized partial differential equations: Reduced-basis output bound methods. J. Fluids Engineering 124 (2002) 70–80. [CrossRef]
  17. G. Rozza, D.B.P. Huynh and A.T. Patera, Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations: Application to transport and continuum mechanics. Arch. Comput. Methods Eng. 15 (2008) 229–275. [CrossRef] [MathSciNet]
  18. S. Sen, K. Veroy, D.B.P. Huynh, S. Deparis, N.C. Nguyen and A.T. Patera, “Natural norm” a posteriori error estimators for reduced basis approximations. J. Comput. Phys. 217 (2006) 37–62. [CrossRef] [MathSciNet]

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