Mimetic Finite Difference Methods forConvection-Dominated Problems
Abstract
We present a mimetic finite difference (MFD) method for the
stable numerical solution of stationary convection-dominated diffusion problems.
The superconvergence properties of MFD methods are also discussed.
A crucial property of mimetic finite differences is that they can be defined on
very general (e.g. non-convex and non-matching) polyhedral meshes. This
fact will be illustrated through extencive numerical examples.
[DOI: 10.1685/CSC06034] About DOI
stable numerical solution of stationary convection-dominated diffusion problems.
The superconvergence properties of MFD methods are also discussed.
A crucial property of mimetic finite differences is that they can be defined on
very general (e.g. non-convex and non-matching) polyhedral meshes. This
fact will be illustrated through extencive numerical examples.
[DOI: 10.1685/CSC06034] About DOI
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PDFDOI: https://doi.org/10.1685/
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