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Comput Visual Sci DOI 10.1007/s00791-010-0140-6
 

Summary: Comput Visual Sci
DOI 10.1007/s00791-010-0140-6
REGULAR ARTICLE
Robust multigrid preconditioners for cell-centered finite volume
discretization of the high-contrast diffusion equation
Burak Aksoylu Zuhal Yeter
Received: 11 April 2009 / Accepted: 19 April 2010
Springer-Verlag 2010
Abstract We study a conservative 5-point cell-centered
finite volume discretization of the high-contrast diffusion
equation. We aim to construct preconditioners that are robust
with respect to the magnitude of the coefficient contrast and
the mesh size simultaneously. For that, we prove and numer-
ically demonstrate the robustness of the preconditioner pro-
posed by Aksoylu et al. (Comput Vis Sci 11:319331, 2008)
by extending the devised singular perturbation analysis from
linearfiniteelementdiscretizationtotheabovediscretization.
The singular perturbation analysis is more involved than that
of finite element case because all the subblocks in the discret-
ization matrix depend on the diffusion coefficient. However,

  

Source: Aksoylu, Burak - Center for Computation and Technology & Department of Mathematics, Louisiana State University

 

Collections: Computer Technologies and Information Sciences