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Summary: Comput Vis Sci manuscript No.
(will be inserted by the editor)
Robust multigrid preconditioners for cell-centered finite
volume discretization of the high-contrast diffusion
equation
Burak Aksoylu · Zuhal Yeter
Revised: March 22, 2010
Abstract We study a conservative 5-point cell-centered
finite volume discretization of the high-contrast 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
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