【摘要】 研究了定常Navier－Stokes方程的四种Petrov－Galerkin有限元方法：PG1，PG2，SD和GLS．它们都是稳定的，避免了经典混合方法中必要的Babuska－Brezzi条件．给出了各种方法有限元解的存在性、唯一性和唯一解的误差估计．更多还原

【Abstract】 In this paper, four Petrov-Galerkin finite element methods, PG1, PG2, SD and GLS, are studied for solving the stationary Navier-Stokes equations. These methods are all stable and circumvent the Babuska-Brezzi condition which is neccessary in the classical mixed methods. The existence, uniqueness of finite clement solutions of every method and the error estimates for the unique solutions are given.更多还原