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FOURIER PSEUDOSPECTRAL-FINITE DIFFERENCE METHOD FOR TWO-DIMENSIONAL VORICITY EQUATION 被引量:1

FOURIER PSEUDOSPECTRAL-FINITE DIFFERENCE METHOD FOR TWO-DIMENSIONAL VORICITY EQUATION
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摘要 A Fourier pseudospectral-finite difference sheme is proposed for solving two-dimensionalvorticity equations. The generalized stability and the convergence are proved.The numericalresults are given.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1994年第4期469-488,共20页 数学年刊(B辑英文版)
关键词 Vorticity equation Fourier pseudospectral-finite difference method Generalized stability Convergence. 涡流方程 傅里叶伪光谱有限微分法 广义稳定性 收敛
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  • 1郭本瑜.SPECTRAL-DIFFERENCE METHOD FOR BAROCLINIC PRIMITIVE EQUATION AND ITS ERROR ESTIMATION[J]Science in China,Ser.A,1987(07).
  • 2Guo Benyu,He Songnian.Chebyshev spectral-finite element method for incompressible fluid flow[J]. Applied Mathematics . 1996 (4)
  • 3Ben-yu Guo,Jian Li.Fourier-Chebyshev pseudospectral method for two-dimensional vorticity equation[J]. Numerische Mathematik . 1993 (1)
  • 4Claudio Canuto,Yvon Maday,Alfio Quarteroni.Combined finite element and spectral approximation of the Navier-Stokes equations[J]. Numerische Mathematik . 1984 (2)
  • 5C. Canuto,Y. Maday,A. Quarteroni.Analysis of the combined finite element and Fourier interpolation[J]. Numerische Mathematik . 1982 (2)
  • 6Yvon Maday,Alfio Quarteroni.Legendre and Chebyshev spectral approximations of Burgers’ equation[J]. Numerische Mathematik . 1981 (3)
  • 7Benyu,Guo,Heping,Ma.A pseudospectral-finite element method for solving two-dimensional vorticity equations. SIAM Journal on Numerical Analysis . 1991
  • 8Benyu,Guo,Weiming,Cao.A combined spectral-finite element method for solving two-dimensional unsteady Navier-Stokes equations. Journal of Computational Physics . 1992
  • 9Girault,Y. and Raviart,P. A.Finite element approximation of the Navier-Stokes equations, Lecture Notes in Math. . 1979
  • 10Heping,Ma,Benyu,Guo.The Chebyshev spectral method for Burgers-like equations. Journal of Computational Mathematics . 1988

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