Superconvergence and a posteriori error estimation for triangular mixed finite elements. (English) Zbl 0823.65103

Brandts, Jan H.

Numer. Math. 68, No. 3, 311-324 (1994).

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

Keywords:

uniform triangulation; superconvergence; mixed finite element; triangular Raviart-Thomas type elements; a posteriori error estimator