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A posteriori error estimation for a new stabilized discontinuous Galerkin method. (English) Zbl 1046.65089
Summary: A posteriori error estimates are derived for a stabilized discontinuous Galerkin method. Equivalence between the error norm and the norm of the residual functional is proved, and consequently, global error estimates are obtained by estimating the norm of the residual. One- and two-dimensional numerical experiments are shown for a reaction-diffusion type model problem.

MSC:
65N15 Error bounds 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
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
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