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Volumn 40, Issue 3, 2006, Pages 529-552

A reduced basis element method for the steady stokes problem

Author keywords

A posteriori error estimators; Domain decomposition; Mortar method; Output bounds; Reduced basis; Reduced order model; Stokes flow

Indexed keywords


EID: 33746319861     PISSN: 0764583X     EISSN: 12903841     Source Type: Journal    
DOI: 10.1051/m2an:2006021     Document Type: Article
Times cited : (74)

References (19)
  • 2
    • 0000443756 scopus 로고
    • Error-bounds for finite element method
    • I. Babuska, Error-bounds for finite element method. Numer. Math. 16 (1971) 322-333.
    • (1971) Numer. Math. , vol.16 , pp. 322-333
    • Babuska, I.1
  • 3
    • 0041800397 scopus 로고    scopus 로고
    • The mortar finite element method with Lagrange multipliers
    • B.F. Belgacem, The mortar finite element method with Lagrange multipliers. Numer. Math. 84 (1999) 173-197.
    • (1999) Numer. Math. , vol.84 , pp. 173-197
    • Belgacem, B.F.1
  • 4
    • 0040141954 scopus 로고    scopus 로고
    • Inf-sup conditions for the mortar spectral element discretization of the Stokes problem
    • B.F. Belgacem, C. Bernardi, N. Chorfi and Y. Maday, Inf-sup conditions for the mortar spectral element discretization of the Stokes problem. Numer. Math. 85 (2000) 257-281.
    • (2000) Numer. Math. , vol.85 , pp. 257-281
    • Belgacem, B.F.1    Bernardi, C.2    Chorfi, N.3    Maday, Y.4
  • 5
    • 0002042272 scopus 로고
    • Polynomial approximation of some singular functions
    • C. Bernardi and Y. Maday, Polynomial approximation of some singular functions. Appl. Anal. 42 (1992) 1-32.
    • (1992) Appl. Anal. , vol.42 , pp. 1-32
    • Bernardi, C.1    Maday, Y.2
  • 6
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers
    • F. Brezzi, On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers. RAIRO Anal. Numér. 8 (1974) 129-151.
    • (1974) RAIRO Anal. Numér. , vol.8 , pp. 129-151
    • Brezzi, F.1
  • 8
    • 0020547404 scopus 로고
    • On the error behavior of the reduced basis technique in nonlinear finite element approximations
    • J.P. Fink and W.C. Rheinboldt, On the error behavior of the reduced basis technique in nonlinear finite element approximations. Z. Angew. Math. Mech. 63 (1983) 21-28.
    • (1983) Z. Angew. Math. Mech. , vol.63 , pp. 21-28
    • Fink, J.P.1    Rheinboldt, W.C.2
  • 9
    • 84985315986 scopus 로고
    • Construction of curvilinear co-ordinate systems and applications to mesh generation
    • W.J. Gordon and C.A. Hall, Construction of curvilinear co-ordinate systems and applications to mesh generation. Int, J. Numer. Meth. Eng. 7 (1973) 461-477.
    • (1973) Int, J. Numer. Meth. Eng. , vol.7 , pp. 461-477
    • Gordon, W.J.1    Hall, C.A.2
  • 11
    • 0038244441 scopus 로고    scopus 로고
    • A reduced-basis element method
    • Y. Maday and E.M. Rønquist, A reduced-basis element method. J. Sci. Comput. 17 (2002) 447-459.
    • (2002) J. Sci. Comput. , vol.17 , pp. 447-459
    • Maday, Y.1    Rønquist, E.M.2
  • 12
    • 14644429752 scopus 로고    scopus 로고
    • The reduced-basis element method: Application to a thermal fin problem
    • Y. Maday and E.M. Rønquist, The reduced-basis element method: application to a thermal fin problem. SIAM J. Sci. Comput. 26 (2004) 240-258.
    • (2004) SIAM J. Sci. Comput. , vol.26 , pp. 240-258
    • Maday, Y.1    Rønquist, E.M.2
  • 13
    • 0003653744 scopus 로고
    • N-2 method for the approximation of the Stokes problem
    • Department of Mechanical Engineering, Massachusetts Institute of Technology
    • N-2 method for the approximation of the Stokes problem. Technical Report No. 92009, Department of Mechanical Engineering, Massachusetts Institute of Technology (1992).
    • (1992) Technical Report No. 92009
    • Maday, Y.1    Patera, A.T.2    Rønquist, E.M.3
  • 14
    • 0000515085 scopus 로고
    • Analysis of iterative methods for the steady and unsteady Stokes problem: Application to spectral element discretizations
    • Y. Maday, D. Meiron, A.T. Patera and E.M. Rønquist, Analysis of iterative methods for the steady and unsteady Stokes problem: Application to spectral element discretizations. SIAM J. Sci. Stat. Comp. (1993) 310-337.
    • (1993) SIAM J. Sci. Stat. Comp. , pp. 310-337
    • Maday, Y.1    Meiron, D.2    Patera, A.T.3    Rønquist, E.M.4
  • 15
    • 0019009732 scopus 로고
    • Reduced basis technique for nonlinear analysis of structures
    • A.K. Noor and J.M. Peters, Reduced basis technique for nonlinear analysis of structures. AIAA J. 19 (1980) 455-462.
    • (1980) AIAA J. , vol.19 , pp. 455-462
    • Noor, A.K.1    Peters, J.M.2
  • 16
    • 0003321083 scopus 로고    scopus 로고
    • Reliable real-time solution of parametrized partial differential equations: Reduced basis output bound methods
    • C. Prud'homme, D.V. Rovas, K. Veroy, L. Machiels, Y. Maday, A.T. Patera and G. Turinici, Reliable real-time solution of parametrized partial differential equations: Reduced basis output bound methods. J. Fluid Eng. 124 (2002) 70-80.
    • (2002) J. Fluid Eng. , vol.124 , pp. 70-80
    • Prud'homme, C.1    Rovas, D.V.2    Veroy, K.3    Machiels, L.4    Maday, Y.5    Patera, A.T.6    Turinici, G.7
  • 17
    • 0001175293 scopus 로고
    • A mixed finite element method for 2-nd order elliptic problems
    • Mathematical Aspects of Finite Element Methodes, I. Galligani and E. Magenes Eds., Springer-Verlag
    • P.A. Raviart and J.M. Thomas, A mixed finite element method for 2-nd order elliptic problems, in Mathematical Aspects of Finite Element Methodes, Lee. Notes Math. 606 I. Galligani and E. Magenes Eds., Springer-Verlag (1977).
    • (1977) Lee. Notes Math. , vol.606
    • Raviart, P.A.1    Thomas, J.M.2
  • 19
    • 85088184409 scopus 로고    scopus 로고
    • A Posteriori error bounds for reduced-basis approximation of parametrized noncoercive and nonlinear elliptic partial differential equations (AIAA Paper 2003-3847)
    • June
    • 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 (AIAA Paper 2003-3847), in Proceedings of the 16th AIAA Computational Fluid Dynamics Conference (June 2003).
    • (2003) Proceedings of the 16th AIAA Computational Fluid Dynamics Conference
    • Veroy, K.1    Prud'homme, C.2    Rovas, D.V.3    Patera, A.T.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.