【摘要】 Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程的非线性Ｇａｌｅｒｋｉｎ有限元方法何银年，李开泰，向一敏（西安交通大学）ＮＯＮＬＩＮＥＡＲＧＡＬＥＲＫＩＮＦＩＮＩＴＥＥＬＥＭＥＮＴＭＥＴＨＯＤＯＦＮＡＶＩＥＲ－ＳＴＯＫＥＳＥＱＵＡＴＩＯＮＳ￥ＨｅＹｉｎ－ｎｉａｎ；Ｌｉ...更多还原

【Abstract】 Abstract In this paper, we present a nonlinear Galerkin finite element method for 2-D Navier-Stokes equations. This method consists in combining the nonlinear Galerkin method and multilevel finite element Spaces. Moreover, we analyse the convergence of the numerical solution and provide the numerical tests. Compared with the usual Galerkin finite element method, the method presented is successful in solving NavierStokes equations under the large Reynolds number.更多还原