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Superconvergence phenomena on three-dimensional meshes. (English) Zbl 1071.65139

This paper gives an overview of superconvergence phenomena in the finite element method for solving three-dimensional problems, in particular, for second order elliptic boundary value problems over uniform meshes.

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
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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