中文摘要：

基于布尔和技术，我们在这份报纸介绍并且分析多水平的一个班为有限维的近似的反复的修正。这类多水平修正是适应的并且能生产高度精确的近似。为说明，我们在场为一条椭圆形的边界的一些旧、新的有限元素修正计划珍视问题。[从作者抽象]

英文摘要：

Based on the Boolean sum technique, we introduce and analyze in this paper a class of multi-level iterative corrections for finite dimensional approximations. This type of multi-level corrections is adaptive and can produce highly accurate approximations. For illustration, we present some old and new finite element correction schemes for an elliptic boundary value problem.