NONLINEAR GALERKIN METHOD FOR THE EXTERIORNONSTATIONARY NAVIER-STOKES EQUATIONS

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 mesh h is choosed as coarse mesh H-sgure, the nonlinear Galerkin method, nonlinearity 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