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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.

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