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Superconvergence and a posteriori error estimation for triangular mixed finite elements. (English) Zbl 0823.65103
The author proves a superconvergence result for the vector variable of a mixed finite element approximation, which uses (lowest order) triangular Raviart-Thomas type elements. Uniform triangulation is assumed. The result allows the construction of an a posteriori error estimator.
Reviewer: A.J.Meir (Auburn)

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