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Techniques for a posteriori error estimation in terms of linear functionals for elliptic type boundary value problems. (English) Zbl 1092.65097

Summary: A uniform scheme for a posteriori estimation of computational errors in terms of linear functionals for elliptic type boundary value problems is presented. In the framework of this scheme easy-to-code construction of error estimators and error indicators is proposed. Main properties of estimators and indicators obtained are discussed and their effectivity is demonstrated in numerical tests.

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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