메뉴 건너뛰기




Volumn 46, Issue 3, 2012, Pages 595-603

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

Author keywords

A priori analysis; Best fit analysis; Greedy algorithm; Reduced basis approximations

Indexed keywords

GENETIC ALGORITHMS;

EID: 84855846712     PISSN: 28227840     EISSN: 28047214     Source Type: Journal    
DOI: 10.1051/m2an/2011056     Document Type: Article
Times cited : (257)

References (9)
  • 2
    • 0000734598 scopus 로고
    • Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
    • A. Kolmogorov, Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse. Ann. Math. (2) 37 (1936) 107-110.
    • (1936) Ann. Math. (2) , vol.37 , pp. 107-110
    • Kolmogorov, A.1
  • 3
    • 0037906854 scopus 로고    scopus 로고
    • A priori convergence theory for reduced-basis approximations of single-parametric elliptic partial differential equations
    • 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.
    • (2002) J. Sci. Comput. , vol.17 , pp. 437-446
    • Maday, Y.1    Patera, A.T.2    Turinici, G.3
  • 4
    • 0037715324 scopus 로고    scopus 로고
    • Résultats globaux a priori pour l'approximation d'équations aux dérivées partielles coercives symétriques elliptiques dépendant d'un paramètre
    • DOI 10.1016/S1631-073X(02)02466-4, PII S1631073X02024664
    • 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. (Pubitemid 36645794)
    • (2002) Comptes Rendus Mathematique , vol.335 , Issue.3 , pp. 289-294
    • Maday, Y.1    Patera, A.T.2    Turinici, G.3
  • 5
    • 0034215872 scopus 로고    scopus 로고
    • On n -widths for elliptic problems
    • J.M. Melenk, On n -widths for elliptic problems. J. Math. Anal. Appl. 247 (2000) 272-289.
    • (2000) J. Math. Anal. Appl. , vol.247 , pp. 272-289
    • Melenk, J.M.1
  • 7
    • 53749107686 scopus 로고    scopus 로고
    • Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations - Application to transport and continuum mechanics
    • 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.
    • (2008) Arch. Comput. Methods Eng. , vol.15 , pp. 229-275
    • Rozza, G.1    Huynh, D.B.P.2    Patera, A.T.3
  • 8
    • 54949153748 scopus 로고    scopus 로고
    • Reduced-basis approximation and a posteriori error estimation for many-parameter heat conduction problems
    • 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.
    • (2008) Numer. Heat Transfer Part B , vol.54 , pp. 369-389
    • Sen, S.1
  • 9
    • 85088184409 scopus 로고    scopus 로고
    • A posteriori error bounds for reduced-basis approximation of parametrized noncoercive and nonlinear elliptic partial differential equations
    • 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.
    • (2003) Proceedings of the 16th AIAA Computational Fluid Dynamics Conference , pp. 2003-3847
    • Veroy, K.1    Prud'homme, C.2    Rovas, D.V.3    Patera, A.T.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.