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针对二维非定常不可压缩Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程初边值问题，在有限元情形下，对加罚形式的非线性Ｇａｌｅｒｋｉｎ方法进行研究。给出了一般解的形式，可使逼近误差迅速、稳定地减小，使数值解较快地逼近其精确解。
Aiming at the initial boundary value problem of two-dimensional unsteady incompressible Navier-Stokes equations, a nonlinear penalty Galerkin method is studied in the finite element case. Given the form of general solution, the approximation error can be quickly and steadily reduced, and the numerical solution can be approximated quickly to its exact solution.