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Feedback and adaptive finite element solution of one-dimensional boundary value problems. (English) Zbl 0574.65098
Feedback and adaptivity for finite element methods in \(C^ 0\) and R are studied. Three different feedback methods are given and their convergences are carefully analyzed. Quasi optimality is studied at length and several related results of importance are stated.
Reviewer: G.Jumarie

65L10 Numerical solution of boundary value problems involving ordinary differential equations
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
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