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Volumn 43, Issue 1, 2011, Pages 74-81

High-fidelity real-time simulation on deployed platforms

Author keywords

A posteriori error bounds; Deployed platforms; High performance computing; Parametrized partial differential equations; Real time computing; Reduced basis method

Indexed keywords

DEPLOYED PLATFORMS; HIGH-PERFORMANCE COMPUTING; PARAMETRIZED PARTIAL DIFFERENTIAL EQUATIONS; POSTERIORI ERROR; REAL-TIME COMPUTING; REDUCED BASIS METHODS;

EID: 79952244756     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2010.07.007     Document Type: Article
Times cited : (26)

References (17)
  • 1
    • 0023577190 scopus 로고
    • The reduced-basis method for initial value problems
    • Porsching T., Lee M. The reduced-basis method for initial value problems. SIAM J Numer Anal 1987, 24:1277-1287.
    • (1987) SIAM J Numer Anal , vol.24 , pp. 1277-1287
    • Porsching, T.1    Lee, M.2
  • 2
    • 0020547404 scopus 로고
    • On the error behavior of the reduced basis technique for nonlinear finite element approximations
    • Fink J., Rheinboldt W. On the error behavior of the reduced basis technique for nonlinear finite element approximations. Z Angew Math Mech 1983, 63(1):21-28.
    • (1983) Z Angew Math Mech , vol.63 , Issue.1 , pp. 21-28
    • Fink, J.1    Rheinboldt, W.2
  • 3
    • 0017970146 scopus 로고
    • Automatic choice of global shape functions in structural analysis
    • Almroth B., Stern P., Brogan F. Automatic choice of global shape functions in structural analysis. AIAA J 1978, 16:525-528.
    • (1978) AIAA J , vol.16 , pp. 525-528
    • Almroth, B.1    Stern, P.2    Brogan, F.3
  • 4
    • 0019242096 scopus 로고
    • Recent advances in reduction methods for nonlinear problems
    • Noor A. Recent advances in reduction methods for nonlinear problems. Comput Struct 1981, 13:31-44.
    • (1981) Comput Struct , vol.13 , pp. 31-44
    • Noor, A.1
  • 5
    • 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
    • Rozza G., Huynh D., Patera A. 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 2008, 15:229-275.
    • (2008) Arch Comput Methods Eng , vol.15 , pp. 229-275
    • Rozza, G.1    Huynh, D.2    Patera, A.3
  • 6
    • 15744385841 scopus 로고    scopus 로고
    • An empirical interpolation method: application to efficient reduced-basis discretization of partial differential equations
    • Barrault M., Nguyen N.C., Maday Y., Patera A.T. An empirical interpolation method: application to efficient reduced-basis discretization of partial differential equations. CR Acad Sci Paris - Sér I 2004, 339:667-672.
    • (2004) CR Acad Sci Paris - Sér I , vol.339 , pp. 667-672
    • Barrault, M.1    Nguyen, N.C.2    Maday, Y.3    Patera, A.T.4
  • 7
    • 77952585705 scopus 로고    scopus 로고
    • A posteriori error bounds for the empirical interpolation method
    • Eftang J.L., Grepl M.A., Patera A.T. A posteriori error bounds for the empirical interpolation method. CR Acad Sci Paris - Ser I 2010, 348(9-10):575-579.
    • (2010) CR Acad Sci Paris - Ser I , vol.348 , Issue.9-10 , pp. 575-579
    • Eftang, J.L.1    Grepl, M.A.2    Patera, A.T.3
  • 8
    • 36148955493 scopus 로고    scopus 로고
    • A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants
    • Huynh D.B.P., Rozza G., Sen S., Patera A.T. A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants. CR Acad Sci Paris - Ser I 2007, 345:473-478.
    • (2007) CR Acad Sci Paris - Ser I , vol.345 , pp. 473-478
    • Huynh, D.B.P.1    Rozza, G.2    Sen, S.3    Patera, A.T.4
  • 9
    • 41549118036 scopus 로고    scopus 로고
    • Reduced basis method for finite volume approximations of parametrized linear evolution equations
    • Haasdonk B., Ohlberger M. Reduced basis method for finite volume approximations of parametrized linear evolution equations. M2AN Math Model Numer Anal 2008, 42(2):277-302.
    • (2008) M2AN Math Model Numer Anal , vol.42 , Issue.2 , pp. 277-302
    • Haasdonk, B.1    Ohlberger, M.2
  • 10
    • 79952249440 scopus 로고    scopus 로고
    • A high-performance parallel finite-element framework for the certified reduced basis method
    • submitted for publication
    • Knezevic DJ, Peterson JW. A high-performance parallel finite-element framework for the certified reduced basis method. Comput Methods Appl Mech Eng, submitted for publication.
    • Comput Methods Appl Mech Eng
    • Knezevic, D.J.1    Peterson, J.W.2
  • 11
    • 78651554414 scopus 로고    scopus 로고
    • An hp certified reduced basis method for parametrized elliptic partial differential equations
    • accepted for publication
    • Eftang J, Patera A, Rønquist R. An hp certified reduced basis method for parametrized elliptic partial differential equations. SIAM J Sci Comput, 2010, accepted for publication.
    • (2010) SIAM J Sci Comput
    • Eftang, J.1    Patera, A.2    Rønquist, R.3
  • 12
    • 41049109868 scopus 로고    scopus 로고
    • Optimization of an acoustic horn with respect to efficiency and directivity
    • Udawalpola R., Berggren M. Optimization of an acoustic horn with respect to efficiency and directivity. Int J Numer Meth Eng 2008, 73:1571-1606.
    • (2008) Int J Numer Meth Eng , vol.73 , pp. 1571-1606
    • Udawalpola, R.1    Berggren, M.2
  • 13
    • 48149112117 scopus 로고    scopus 로고
    • Local absorbing boundary conditions for elliptical shaped boundaries
    • Medvinsky M., Turkel E., Hetmaniuk U. Local absorbing boundary conditions for elliptical shaped boundaries. J Comput Phys 2008, 8254-8267.
    • (2008) J Comput Phys , pp. 8254-8267
    • Medvinsky, M.1    Turkel, E.2    Hetmaniuk, U.3
  • 15
    • 77953024654 scopus 로고    scopus 로고
    • A natural-norm successive constraint method for inf-sup lower bounds
    • <>
    • Huynh D, Knezevic D, Chen Y, Hesthaven J, Patera A. A natural-norm successive constraint method for inf-sup lower bounds. Comput Method Appl 2010. <>. http://dx.doi.org/10.1016/j.cma.2010.02.011.
    • (2010) Comput Method Appl
    • Huynh, D.1    Knezevic, D.2    Chen, Y.3    Hesthaven, J.4    Patera, A.5
  • 16
    • 43149123393 scopus 로고    scopus 로고
    • LibMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations
    • Kirk B.S., Peterson J.W., Stogner R.M., Carey G.F. libMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations. Eng Comput 2006, 23(3-4):237-254.
    • (2006) Eng Comput , vol.23 , Issue.3-4 , pp. 237-254
    • Kirk, B.S.1    Peterson, J.W.2    Stogner, R.M.3    Carey, G.F.4
  • 17
    • 79952252283 scopus 로고    scopus 로고
    • Reduced basis approximation and a posteriori error estimation for the parametrized unsteady boussinesq equations
    • accepted for publication
    • Knezevic DJ, Nguyen NC, Patera AT. Reduced basis approximation and a posteriori error estimation for the parametrized unsteady boussinesq equations. Math Models Methods Appl Sci 2010, accepted for publication.
    • (2010) Math Models Methods Appl Sci
    • Knezevic, D.J.1    Nguyen, N.C.2    Patera, A.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.