Burgers方程的最小二乘混合有限元方法及误差估计

LEASTSQUARES MIXED FINITE ELEMENT METHODS FOR BURGERS EQUATION AND ITS ERROR ESTIMATES

本文首先引入流通量函数将一维13urger8方程转化为方程组,然后将方程组关于时间求导数得到新的方程组。在此基础上,构造了一种新的最小二乘混合有限元格式并得到了L^2(Ω)×L^2(Ω)模最优误差估计。

By introducing flux function,the one dimensional Burgers equation is transformed into a system of equations.And then,a new system of equations is derived by integrating with respect to time of the system of equations.A new least squares mixed finite element scheme is constructed based on this and the optimal order in normerror estimate is proved.