Before revision: In this paper, we design and analyze  new methods based on Additive Average Schwarz--AAS Method introduced in 3 . The new methods are designed for elliptic problems with highly heterogeneous coefficients.
After revision: In this paper, we design and analyze new methods based on Additive Average Schwarz--AAS Method introduced in additive average Schwarz -- AAS method introduced in \mbox{%DIFAUXCMD MR1943457 . The new methods are designed for elliptic problems with highly heterogeneous coefficients.