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Superconvergence analysis of the Galerkin FEM for a singularly perturbed convection-diffusion problem with characteristic layers. (English) Zbl 1133.65090
The authors develop a theoretical analysis of the superconvergence of the Galerkin finite element method (FEM) for a singular perturbed convection-diffusion problem with characteristic layers. A number of theorems and lemmas are presented for the validation and stability and convergence. No numerical experiments are presented for illustration.

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
35B25 Singular perturbations in context of PDEs
35J25 Boundary value problems for second-order elliptic equations
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