CHEBYSHEV PSEUDOSPECTRAL-HYBRID FINITE ELEMENT METHOD FOR THREE-DIMENSIONAL VORTICITY EQUATION  

作　　者：郭本瑜 候镜宇 

机构地区：[1]Shanghai University of Science and Technology,Shanghai,201800,PRC.

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》1996年第2期161-196,共36页

摘　　要：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.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.

关 键 词：THREE-DIMENSIONAL VORTICITY EQUATION CHEBYSHEV pseudospectral-hybrid finite element 

分 类 号：O241.82[理学—计算数学]