In this paper,Chebyshev pseudospectral-finite element schemes are proposed for solving three dimensional vorticity equation.Some approximation results in nonisotropic Sobolev spaces are given.The generalized stability...In this paper,Chebyshev pseudospectral-finite element schemes are proposed for solving three dimensional vorticity equation.Some approximation results in nonisotropic Sobolev spaces are given.The generalized stability and the convergence are proved strictly.The numerical results show the advantages of this method.The technique in this paper is also applicable to other three-dimensional nonlinear problems in fluid dynamics.展开更多
In this paper, we construct a spectral-finite element scheme for solving semi-periodical two-dimensional vorticity equations. The error between the genuine solution and approximate solutionis estimated strictly. The n...In this paper, we construct a spectral-finite element scheme for solving semi-periodical two-dimensional vorticity equations. The error between the genuine solution and approximate solutionis estimated strictly. The numerical results show the advantages of such a method. The techniqueused in this paper can be easily generalized to three-dimensional problems.展开更多
Combined Chebyshev spectral-finite element schemes are constructed for three-dimensionalunsteady vorticity equation. The generalized stability and convergence are proved strictly.
Proposes a mixed Chebyshev spectral-finite element method for solving two-dimensional unsteady Navier-Stokes equation. Information on the spectral method; Discussion; Error estimations.
文摘In this paper,Chebyshev pseudospectral-finite element schemes are proposed for solving three dimensional vorticity equation.Some approximation results in nonisotropic Sobolev spaces are given.The generalized stability and the convergence are proved strictly.The numerical results show the advantages of this method.The technique in this paper is also applicable to other three-dimensional nonlinear problems in fluid dynamics.
文摘In this paper, we construct a spectral-finite element scheme for solving semi-periodical two-dimensional vorticity equations. The error between the genuine solution and approximate solutionis estimated strictly. The numerical results show the advantages of such a method. The techniqueused in this paper can be easily generalized to three-dimensional problems.
文摘Combined Chebyshev spectral-finite element schemes are constructed for three-dimensionalunsteady vorticity equation. The generalized stability and convergence are proved strictly.
基金the Chinese State Key Project of Basic ResearchN.G1999032804 and the Shanghai Natural Science Foundation N.00JC14057.
文摘Proposes a mixed Chebyshev spectral-finite element method for solving two-dimensional unsteady Navier-Stokes equation. Information on the spectral method; Discussion; Error estimations.
