  A novel method to enable application of the Multiscale Restricted Smoothed
Basis (MsRSB) method to non M-matrices is presented. The original MsRSB method
is enhanced with a filtering strategy enforcing M-matrix properties to enable
the robust application of MsRSB as a preconditioner. Through applications to
porous media flow and linear elastic geomechanics, the method is proven to be
effective for scalar and vector problems with multipoint finite volume (FV) and
finite element (FE) discretization schemes, respectively. Realistic complex
(un)structured two- and three-dimensional test cases are considered to
illustrate the method's performance.
