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Zbl 0880.65084
Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. (English)
[J] SIAM J. Numer. Anal. 34, No.2, 828-852 (1997). ISSN 0036-1429; ISSN 1095-7170/e

The authors present the method given in the title of the paper. They prove the convergence and analyse the convergence rate. Numerical results that demonstrate the convergence results are also given.
[A.Galántai (Miskolc-Egyetemvaros)]

MSC 2000:: *65N30 Finite numerical methods (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems
65N06 Finite difference methods (BVP of PDE)
65N12 Stability and convergence of numerical methods (BVP of PDE)
65N15 Error bounds (BVP of PDE)

Keywords: mixed finite elements; elliptic problems; tensor coefficients; cell-centered finite differences; numerical examples; convergence

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