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

Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan

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)

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