Abstract: Here a practicable algorithm about the nonlinear Galerkin finite element algorithm is presented for the two-dimensional steady incompressible equations of Navier-stokes type is presented (or discassed),also the conver-gence and regularity of the numerical solution are analysed.If the grid parameter H and the finner grid parameter h(h1/2),the present algorithm has convergence rate of the same order as the standard Galerkin finite element algorithm.However,this algorithm is simpler than the Galerkin algorithm and can save a large amount of computational time.Finally,the numerical test is provided,which shows that the above conclusion is are true.

Key words: Equation of Navier-Stokes type, Galerkin finite element algorithm, Nonlinear Galerkin finite element algorithm