【摘要】 讨论一类发展方程——Navier-Stokes方程的矩形非协调有限元逼近方法.在区域剖分不要求满足通常的正则性假设或拟一致假设情形下,通过相应的矩形元及Navier-Stokes投影,得到与传统有限元相同的最优误差估计结果,从而扩展了有限元方法的工程应用范围.更多还原

【Abstract】 The paper mainly discussed the rectangular nonconforming finite element methods for a class of nonstationary equations——Navier-Stokes equation.It showed that,without the usual regularity or quasi-uniform assumption,by using rectangular finite element and the Navier-Stokes projection,the same optimal error estimate as that for the traditional finite element method could be obtained,and there by the application of finite element methods could be extended.更多还原