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Volumn 101, Issue 2-3, 1999, Pages 209-244

Chebyshev pseudospectral-finite element method for the three-dimensional unsteady Navier-Stokes equation

Author keywords

Chebyshev pseudospectral finite element approximation; Three dimensional Navier Stokes equation

Indexed keywords


EID: 0348228178     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)00041-1     Document Type: Article
Times cited : (2)

References (27)
  • 6
    • 0003197516 scopus 로고    scopus 로고
    • Finite element approximation of the Navier-Stokes equations
    • Springer, Berlin
    • V. Girault, P.A. Raviart, Finite element approximation of the Navier-Stokes equations, Lecture Notes in Mathematics, vol. 794, Springer, Berlin, 1979.
    • Lecture Notes in Mathematics , vol.794 , pp. 1979
    • Girault, V.1    Raviart, P.A.2
  • 8
    • 0019999265 scopus 로고
    • Numerical investigation of turbulent channel flow
    • P. Moin, J. Kim, Numerical investigation of turbulent channel flow, J. Fluid Mech. 118 (1992) 341-377.
    • (1992) J. Fluid Mech. , vol.118 , pp. 341-377
    • Moin, P.1    Kim, J.2
  • 9
    • 0346379408 scopus 로고
    • Spectral-difference method for Baroclinic primitive equation and its error estimation
    • Guo Ben-yu, Spectral-difference method for Baroclinic primitive equation and its error estimation, Scientia Sinica 30A (1987) 697-713.
    • (1987) Scientia Sinica , vol.30 A , pp. 697-713
    • Guo, B.-Y.1
  • 10
    • 0346379383 scopus 로고
    • A spectral difference method for two-dimensional viscous flow
    • Guo Ben-yu, Xiong Yue-shan, A spectral difference method for two-dimensional viscous flow, J. Comp. Phys. 84 (1989) 259-278.
    • (1989) J. Comp. Phys. , vol.84 , pp. 259-278
    • Guo, B.-Y.1    Xiong, Y.-S.2
  • 11
    • 0041110126 scopus 로고
    • Combined finite element and spectral approximation of the Navier-Stokes equations
    • C. Canuto, Y. Maday, A. Quarteroni, Combined finite element and spectral approximation of the Navier-Stokes equations, Numer. Math. 44 (1984) 201-217.
    • (1984) Numer. Math. , vol.44 , pp. 201-217
    • Canuto, C.1    Maday, Y.2    Quarteroni, A.3
  • 12
    • 0026106834 scopus 로고
    • A pseudospectral-finite element method for solving two-dimensional vorticity equations
    • Guo Ben-yu, Ma He-ping, A pseudospectral-finite element method for solving two-dimensional vorticity equations, SIAM J. Numer. Anal. 28 (1991) 113-132.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 113-132
    • Guo, B.-Y.1    Ma, H.-P.2
  • 13
    • 0347009464 scopus 로고
    • Combined finite element and pseudospectral method for three-dimensional vorticity equations
    • Ma He-ping, Guo Ben-yu, Combined finite element and pseudospectral method for three-dimensional vorticity equations, J. Hydrodynamics, Ser. B 3 (1990) 75-87.
    • (1990) J. Hydrodynamics, Ser. B , vol.3 , pp. 75-87
    • Ma, H.-P.1    Guo, B.-Y.2
  • 14
    • 0027642847 scopus 로고
    • Combined finite element and pseudospectral method for the two-dimensional evalutionary Navier-Stokes equations
    • Guo Ben-yu, Ma He-ping, Combined finite element and pseudospectral method for the two-dimensional evalutionary Navier-Stokes equations, SIAM J. Numer. Anal. 30 (1993) 1066-1083.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 1066-1083
    • Guo, B.-Y.1    Ma, H.-P.2
  • 15
    • 0346379465 scopus 로고
    • Combined finite element and pseudospectral method for the three-dimensional Navier-Stokes equations
    • Ma He-ping, Guo Ben-yu, Combined finite element and pseudospectral method for the three-dimensional Navier-Stokes equations, Chinese Ann. Math. Ser. B 13 (1992) 350-367.
    • (1992) Chinese Ann. Math. Ser. B , vol.13 , pp. 350-367
    • Ma, H.-P.1    Guo, B.-Y.2
  • 16
    • 0040516160 scopus 로고
    • The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations
    • Guo Ben-yu, Ma He-ping, Cao Wei-ming, Huang Hui, The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations, J. Comput. Phys. 101 (1992) 207-217.
    • (1992) J. Comput. Phys. , vol.101 , pp. 207-217
    • Guo, B.-Y.1    Ma, H.-P.2    Cao, W.-M.3    Huang, H.4
  • 17
    • 0347009408 scopus 로고    scopus 로고
    • Fourier-Chebyshev spectral method for the three-dimensional Navier-Stokes equations
    • Guo Ben-yu, Li Jian, Fourier-Chebyshev spectral method for the three-dimensional Navier-Stokes equations Jpn. J. Appl. Math. 14 (1997) 329-356.
    • (1997) Jpn. J. Appl. Math. , vol.14 , pp. 329-356
    • Guo, B.-Y.1    Li, J.2
  • 18
    • 0346379407 scopus 로고
    • Fourier-Chebyshev pseudospectral method for the two-dimensional Navier-Stokes equations
    • Guo Ben-yu, Li Jian, Fourier-Chebyshev pseudospectral method for the two-dimensional Navier-Stokes equations, RARIO Math. Model, and Numer. Anal. 29 (1995) 303-337.
    • (1995) RARIO Math. Model, and Numer. Anal. , vol.29 , pp. 303-337
    • Guo, B.-Y.1    Li, J.2
  • 19
    • 0346379467 scopus 로고    scopus 로고
    • Chebyshev spectral-finite element method for three-dimensional vorticity equation
    • to appear in
    • Guo Ben-yu, He Song-nian, Chebyshev spectral-finite element method for three-dimensional vorticity equation (to appear in Acta Mathematical Applicatae Sinica).
    • Acta Mathematical Applicatae Sinica
    • Guo, B.-Y.1    He, S.-N.2
  • 20
    • 0040649440 scopus 로고    scopus 로고
    • Chebyshev pseudospectral-hybrid finite element method for two-dimensional vorticity equations
    • Guo Ben-yu, Ma He-ping, Hou Jing-yu, Chebyshev pseudospectral-hybrid finite element method for two-dimensional vorticity equations, RARIO Math. Model. Numer. Anal. 30 (1996) 873-905.
    • (1996) RARIO Math. Model. Numer. Anal. , vol.30 , pp. 873-905
    • Guo, B.-Y.1    Ma, H.-P.2    Hou, J.-Y.3
  • 21
    • 0347009404 scopus 로고    scopus 로고
    • Chebyshev pseudospectral-hybrid finite element method for three-dimensional vorticity equation
    • Guo Ben-yu, Hou Jing-yu, Chebyshev pseudospectral-hybrid finite element method for three-dimensional vorticity equation, Numerical Mathematics, English series 5 (1996) 161-196.
    • (1996) Numerical Mathematics, English Series , vol.5 , pp. 161-196
    • Guo, B.-Y.1    Hou, J.-Y.2
  • 22
    • 0022797838 scopus 로고
    • On pressure boundary conditions for the incompressible Navier-Stokes equations
    • P.M. Gresho, R.L. Sani, On pressure boundary conditions for the incompressible Navier-Stokes equations, Int. J. Numer. Methods Fluids 7 (1987) 1111-1145.
    • (1987) Int. J. Numer. Methods Fluids , vol.7 , pp. 1111-1145
    • Gresho, P.M.1    Sani, R.L.2
  • 24
    • 0001776440 scopus 로고
    • Variational method in the theoretical analysis of spectral approximations
    • R.G. Voigt, D. Gottlieb, M.Y. Hussaini (Eds.), SIAM-CBMS, Philadelphia, PA
    • C. Canuto, A. Quarteroni, Variational method in the theoretical analysis of spectral approximations, in: R.G. Voigt, D. Gottlieb, M.Y. Hussaini (Eds.), Spectral Method for Partial Differential Equations, SIAM-CBMS, Philadelphia, PA, 1984, pp. 55-78.
    • (1984) Spectral Method for Partial Differential Equations , pp. 55-78
    • Canuto, C.1    Quarteroni, A.2
  • 26
    • 0039330815 scopus 로고
    • The Chebyshev spectral method for Burgers-like equations
    • Ma He-ping, Guo Ben-yu, The Chebyshev spectral method for Burgers-like equations, J. Comput. Math. 6 (1988) 48-53.
    • (1988) J. Comput. Math. , vol.6 , pp. 48-53
    • Ma, H.-P.1    Guo, B.-Y.2
  • 27
    • 0347640248 scopus 로고
    • Generalized stability of discretization and its applications to numerical solutions of nonlinear partial differential equations
    • Guo Ben-yu, Generalized stability of discretization and its applications to numerical solutions of nonlinear partial differential equations, BMN MΦ 32 (1992) 530-541.
    • (1992) BMN MΦ , vol.32 , pp. 530-541
    • Guo, B.-Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.