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A new finite element gradient recovery method: Superconvergence property. (English) Zbl 1078.65110
In this paper the authors introduce and analyze a new gradient recovery method and establish its superconvergence property. A number of theorems and uniqueness of the proposed method is established. Finally numerical experiments are performed for a validation of the developed theory.

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods 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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