OPTIMAL MAXIMUM NORM ERROR ESTIMATES OF THE LOWEST-ORDER MIXED FINITE ELEMENT METHOD FOR LINEAR ELLIPTIC PROBLEMS
线性椭圆问题最低次混合有限元方法的最优最大模误差估计

In this paper a sufficient condition to construct the lowest-order mixed finite element space is proposed and a new interpolation operator is created. On the basis of these two results the optimal maximum norm error estimates for the mired finite element solution, the adjoint vector-function and its divergence of linear elliptic problems are proved.