Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. (English) Zbl 0880.65084 SIAM J. Numer. Anal. 34, No. 2, 828-852 (1997). 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. Reviewer: A.Galántai (Miskolc-Egyetemvaros) Cited in 163 Documents 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 Keywords:mixed finite elements; elliptic problems; tensor coefficients; cell-centered finite differences; numerical examples; convergence PDF BibTeX XML Cite \textit{T. Arbogast} et al., SIAM J. Numer. Anal. 34, No. 2, 828--852 (1997; Zbl 0880.65084) Full Text: DOI OpenURL