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Volumn 4, Issue 3-4, 2007, Pages 559-583

Reduced-order modeling of burgers equations based on centroidal voronoi tessellation

Author keywords

Burgers equations; Centroidal Voronoi tessellations; Proper orthogonal decomposition; Reduced order modeling

Indexed keywords


EID: 50049116408     PISSN: 17055105     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (10)

References (19)
  • 1
    • 0017970146 scopus 로고
    • Automatic choice of global shape functions in structural analysis
    • B. O. Almroth, Automatic choice of global shape functions in structural analysis, AIAA J., vol. 16, pp. 525-528, 1978.
    • (1978) AIAA J , vol.16 , pp. 525-528
    • Almroth, B.O.1
  • 2
    • 14544291634 scopus 로고    scopus 로고
    • Reduced order controllers for spatially distributed systems via proper orthogonal decomposition
    • J. Atwell and B. King, Reduced order controllers for spatially distributed systems via proper orthogonal decomposition, SIAM J. Sci. Comput. Vol. 26, No. 1, pp. 128-151, 2004.
    • (2004) SIAM J. Sci. Comput , vol.26 , Issue.1 , pp. 128-151
    • Atwell, J.1    King, B.2
  • 3
    • 12044259644 scopus 로고
    • The proper orthogonal decomposition in the analysis of turbulent flows
    • G. Berkooz, P. Holmes, and J. L. Lumley, The proper orthogonal decomposition in the analysis of turbulent flows, Annual Rev. Fluid Mechanics, vol. 25, pp. 539-575, 1993.
    • (1993) Annual Rev. Fluid Mechanics , vol.25 , pp. 539-575
    • Berkooz, G.1    Holmes, P.2    Lumley, J.L.3
  • 5
    • 0033317391 scopus 로고    scopus 로고
    • Centroidal Voronoi tessellations: Applications and algorithms
    • Q. Du, V. Faber, and M. Gunzburger, Centroidal Voronoi tessellations: applications and algorithms, SIAM Review 41, pp. 637-676, 1999.
    • (1999) SIAM Review , vol.41 , pp. 637-676
    • Du, Q.1    Faber, V.2    Gunzburger, M.3
  • 6
    • 33847681941 scopus 로고    scopus 로고
    • Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations
    • Q. Du, M. Emelianenko, and L. Ju, "Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations, SIAM J. Numer. Anal., Vol. 44, pp. 102-119, 2006.
    • (2006) SIAM J. Numer. Anal , vol.44 , pp. 102-119
    • Du, Q.1    Emelianenko, M.2    Ju, L.3
  • 7
    • 0033177060 scopus 로고    scopus 로고
    • Control of Burgers equation by a reduced order approach using proper orthogonal decomposition
    • K. Kunisch and S. Volkwein, Control of Burgers equation by a reduced order approach using proper orthogonal decomposition, JOTA, no.2, pp.345-371, 1999.
    • (1999) JOTA , Issue.2 , pp. 345-371
    • Kunisch, K.1    Volkwein, S.2
  • 8
    • 50049113797 scopus 로고    scopus 로고
    • Centroidal Voronoi tessellation-based reduced-order modeling of complex systems
    • to appear in
    • H.-C. Lee, J. Burkardt, and M. Gunzburger, Centroidal Voronoi tessellation-based reduced-order modeling of complex systems, to appear in SIAM J. on Scientific Computing.
    • SIAM J. on Scientific Computing
    • Lee, H.-C.1    Burkardt, J.2    Gunzburger, M.3
  • 10
    • 0020102027 scopus 로고
    • Least squares quantization in PCM
    • S. Lloyd, Least squares quantization in PCM, IEEE Trans. Infor. Theory, vol. 28, pp. 129-137, 1982.
    • (1982) IEEE Trans. Infor. Theory , vol.28 , pp. 129-137
    • Lloyd, S.1
  • 12
    • 0001457509 scopus 로고
    • Some methods for classification and analysis of multivariate observations
    • University of California, pp
    • J. MacQueen, Some methods for classification and analysis of multivariate observations, Proc. Fifth Berkeley Symposium on Mathematical Statistics and Probability, vol. 1, University of California, pp. 281-297, 1967.
    • (1967) Proc. Fifth Berkeley Symposium on Mathematical Statistics and Probability , vol.1 , pp. 281-297
    • MacQueen, J.1
  • 13
    • 0018503565 scopus 로고
    • Modal representation of geometrically nonlinear behavior by the finite element method
    • D. A. Nagy, Modal representation of geometrically nonlinear behavior by the finite element method, Computers and Structures, vol. 10, pp. 683-688, 1979.
    • (1979) Computers and Structures , vol.10 , pp. 683-688
    • Nagy, D.A.1
  • 14
    • 0019242096 scopus 로고
    • Recent advances in reduction methods for nonlinear problems
    • A. K. Noor, Recent advances in reduction methods for nonlinear problems, Computers and Structures, vol. 13, pp. 31-44, 1981.
    • (1981) Computers and Structures , vol.13 , pp. 31-44
    • Noor, A.K.1
  • 15
    • 85003373847 scopus 로고
    • Reduced basis technique for collapse analysis of shells
    • A. K. Noor, C. M. Andersen, and J. M. Peters, Reduced basis technique for collapse analysis of shells, AIAA J., vol. 19, pp.393-397, 1981.
    • (1981) AIAA J , vol.19 , pp. 393-397
    • Noor, A.K.1    Andersen, C.M.2    Peters, J.M.3
  • 16
    • 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., vol. 18, pp. 455-462, 1980.
    • (1980) AIAA J , vol.18 , pp. 455-462
    • Noor, A.K.1    Peters, J.M.2
  • 17
    • 0032573314 scopus 로고    scopus 로고
    • An efficient computational method of boundary optimal control problems for the Burgers equation
    • H. M. Park and M. W. Lee, An efficient computational method of boundary optimal control problems for the Burgers equation, Compte Methods Appl. Mech. Eng., 166(3-4), pp. 289-308, 1998.
    • (1998) Compte Methods Appl. Mech. Eng , vol.166 , Issue.3-4 , pp. 289-308
    • Park, H.M.1    Lee, M.W.2
  • 18
    • 0000166867 scopus 로고
    • The reduced-basis method for incompressible viscous flow calculations
    • J. S. Peterson, The reduced-basis method for incompressible viscous flow calculations, SIAM J. Scientific and Statistical Computing, vol. 10, pp. 777-786, 1989.
    • (1989) SIAM J. Scientific and Statistical Computing , vol.10 , pp. 777-786
    • Peterson, J.S.1
  • 19
    • 0035248435 scopus 로고    scopus 로고
    • Distributed control problems for the Burgers equation
    • S. Volkwein, Distributed control problems for the Burgers equation, Computational Optimization and Applications, 18, pp. 115-140, 2001.
    • (2001) Computational Optimization and Applications , vol.18 , pp. 115-140
    • Volkwein, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.