Free Access
Issue
ESAIM: M2AN
Volume 46, Number 3, May-June 2012
Special volume in honor of Professor David Gottlieb
Page(s) 595 - 603
DOI https://doi.org/10.1051/m2an/2011056
Published online 11 January 2012
  1. P. Binev, A. Cohen, W. Dahmen, R. DeVore, G. Petrova and P. Wojtaszczyk, Convergence rates for greedy algorithms in reduced basis methods. SIAM J. Math. Anal. 43 (2011) 1457–1472. [CrossRef] [MathSciNet]
  2. A. Kolmogorov, Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse. Ann. Math. (2) 37 (1936) 107–110. [CrossRef]
  3. Y. Maday, A.T. Patera and G. Turinici, A priori convergence theory for reduced-basis approximations of single-parametric elliptic partial differential equations. J. Sci. Comput. 17 (2002) 437–446. [CrossRef]
  4. Y. Maday, A.T. Patera and G. Turinici, Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations. C. R. Acad. Sci., Paris, Sér. I Math. 335 (2002) 289–294. [CrossRef]
  5. J.M. Melenk, On n-widths for elliptic problems. J. Math. Anal. Appl. 247 (2000) 272–289. [CrossRef]
  6. A. Pinkus, n-widths in approximation theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)] 7. Springer-Verlag, Berlin (1985).
  7. 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]
  8. S. Sen, Reduced-basis approximation and a posteriori error estimation for many-parameter heat conduction problems. Numer. Heat Transfer Part B 54 (2008) 369–389. [CrossRef]
  9. K. Veroy, C. Prud’homme, D.V. Rovas and A.T. Patera, A posteriori error bounds for reduced-basis approximation of parametrized noncoercive and nonlinear elliptic partial differential equations, in Proceedings of the 16th AIAA Computational Fluid Dynamics Conference (2003) 2003–3847.

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