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Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. (English) Zbl 0880.65084

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.

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
65N06 Finite difference methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
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