中文摘要：

考虑二阶拟线性椭圆问题的多水平有限元方法.利用有限元方法精确解和多水平算法解之间的超逼近性质,得到了该问题多水平有限元方法的后验误差估计子.数值算例验证了该理论的正确性.

英文摘要：

Multi-level finite element methods were considered for quasi-linear elliptic problems. By the superconvergence property between the exact solution of finite element method and the solution of the multi-level algorithm,the posteriori error estimators for this problems were obtained. Numerical experiments confirmed the theoretical analysis.