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COMBINED FINITE ELEMENT AND PSEUDOSPECTRAL METHOD FOR THREE-DIMENSIONAL VORTICITY EQUATIONS 被引量:1

COMBINED FINITE ELEMENT AND PSEUDOSPECTRAL METHOD FOR THREE-DIMENSIONAL VORTICITY EQUATIONS
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摘要 A eombined finite element and pseudospectral method with a control operator is presented for three-dimension- al vorticity equations.The generalized stability of the scheme is proved and L^2-optimal estimation is obtained. A eombined finite element and pseudospectral method with a control operator is presented for three-dimension- al vorticity equations.The generalized stability of the scheme is proved and L^2-optimal estimation is obtained.
出处 《Journal of Hydrodynamics》 SCIE EI CSCD 1990年第3期75-87,共13页 水动力学研究与进展B辑(英文版)
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  • 1GUO BENYU,XIONG YUESHAN(Department of Mathematics,Shanghai University of Science and Technology f Shanghai 201800,China.).FOURIER PSEUDOSPECTRAL-FINITE DIFFERENCE METHOD FOR TWO-DIMENSIONAL VORICITY EQUATION[J].Chinese Annals of Mathematics,Series B,1994,15(4):469-488. 被引量:1
  • 2郭本瑜.SPECTRAL-DIFFERENCE METHOD FOR BAROCLINIC PRIMITIVE EQUATION AND ITS ERROR ESTIMATION[J]Science in China,Ser.A,1987(07). 被引量:1
  • 3Guo Benyu,He Songnian.Chebyshev spectral-finite element method for incompressible fluid flow[J]. Applied Mathematics . 1996 (4) 被引量:1
  • 4Ben-yu Guo,Jian Li.Fourier-Chebyshev pseudospectral method for two-dimensional vorticity equation[J]. Numerische Mathematik . 1993 (1) 被引量:1
  • 5Claudio Canuto,Yvon Maday,Alfio Quarteroni.Combined finite element and spectral approximation of the Navier-Stokes equations[J]. Numerische Mathematik . 1984 (2) 被引量:1
  • 6C. Canuto,Y. Maday,A. Quarteroni.Analysis of the combined finite element and Fourier interpolation[J]. Numerische Mathematik . 1982 (2) 被引量:1
  • 7Yvon Maday,Alfio Quarteroni.Legendre and Chebyshev spectral approximations of Burgers’ equation[J]. Numerische Mathematik . 1981 (3) 被引量:1
  • 8Benyu,Guo,Heping,Ma.A pseudospectral-finite element method for solving two-dimensional vorticity equations. SIAM Journal on Numerical Analysis . 1991 被引量:1
  • 9Benyu,Guo,Weiming,Cao.A combined spectral-finite element method for solving two-dimensional unsteady Navier-Stokes equations. Journal of Computational Physics . 1992 被引量:1
  • 10Girault,Y. and Raviart,P. A.Finite element approximation of the Navier-Stokes equations, Lecture Notes in Math. . 1979 被引量:1

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