TY - JOUR T1 - Multi-Level Adaptive Corrections in Finite Dimensional Approximations JO - Journal of Computational Mathematics VL - 1 SP - 45 EP - 54 PY - 2010 DA - 2010/02 SN - 28 DO - http://doi.org/10.4208/jcm.2009.09-m1003 UR - https://global-sci.org/intro/article_detail/jcm/8506.html KW - Adaptive, Boolean sum, Correction, Finite dimensional, Multi-level. AB -

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.