最低次混合有限元方法的最优L^∞误差估计

OPTIMAL L~∞-ERROR ANALYSIS FOR MIXED FINITE ELEMENT METHOD OF LOWEST ORDER

本文对拉普拉斯方程的最低次混合元方法提出了构造混合元空间的充分条件，并建立了新的插值算子．据此得到了混合元解，伴随向量函数及其散度的最优L∞误差估计．

In this paper a sufficient condition for mixed finite element space of lowest order for Laplacian Equation is derived and a new interpolation operator is constructed. These results are applied to prove the optimal L∞-error estimates for the mixed finite element solution, the adjoint vector function and its divergence.