 
Summary: Comput Vis Sci manuscript No.
(will be inserted by the editor)
Robust multigrid preconditioners for cellcentered finite
volume discretization of the highcontrast diffusion
equation
Burak Aksoylu · Zuhal Yeter
Revised: March 22, 2010
Abstract We study a conservative 5point cellcentered
finite volume discretization of the highcontrast diffu
sion equation. We aim to construct preconditioners that
are robust with respect to the magnitude of the coeffi
cient contrast and the mesh size simultaneously. For
that, we prove and numerically demonstrate the ro
bustness of the preconditioner proposed by Aksoylu et
al. (2008, Comput. Vis. Sci. 11, pp. 319331) by ex
tending the devised singular perturbation analysis from
linear finite element discretization to the above dis
cretization. The singular perturbation analysis is more
involved than that of finite element case because all
the subblocks in the discretization matrix depend on
