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Superconvergence analysis for finite element solutions by the least-squares surface fitting on irregular meshes for smooth problems. (English) Zbl 0987.65108
The purpose of this paper is to develop a solid mathematical foundation on superconvergence analysis for finite element solutions by least square surface fitting on irregular meshes. The proposed method is illustrated by a number of experiments.

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