Sobolev方程扩展混合元方法的L^∞估计

L^∞ estimates for expanded mixed finite element methods for the Sobolev equations

Sobolev方程初边值问题的扩展混合元方法是传统混合元方法的一种推广,它能同时逼近未知函数、梯度、流量,较好地刻画了具有混合边界条件的Sobolev方程初边值问题,同时避免了对小系数进行求逆,从而得到了逼近未知函数的拟最优的L∞估计。

The expanded mixed methods for the intial-boundary value problem of Sobolev equations is considered a method based on traditional mixed element method. The method also approximates unknown function, gradient and flow and it could simulate the intial-boundary value of Sobolev equations and avoid solving the inverse of little coefficient. Optimal order error estimate is achieved according to the study for the scalar unknown in L^∞-norms.