HE Yin-nian, LI Kai-tai. Nonlinear Galerkin Method for the Exterior Nonstationary Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1141-1149.
Citation: HE Yin-nian, LI Kai-tai. Nonlinear Galerkin Method for the Exterior Nonstationary Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1141-1149.

Nonlinear Galerkin Method for the Exterior Nonstationary Navier-Stokes Equations

  • Received Date: 2001-03-27
  • Rev Recd Date: 2002-05-28
  • Publish Date: 2002-11-15
  • A new algorithm combining nonlinear Galerkin method and coupling method of finite element and boundary element is introduced to solve the exterior nonstationary Navier-Stokes equations. The regularity of the coupling variational formulation and the convergence of the approximate solution corresponding to the algorithm are proved.If the fine meshh is choosed as coarse mesh H-sgure, the nonlinear Galerkin method,nonlineatity is only treated on the coarse grid and linearity is treated on the fine grid.Hence,the new algorithm can save a large amount of computational time.
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