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- W2037836476 abstract "The objective of this paper is to introduce a general scheme for deriving a posteriori error estimates by using duality theory of the calculus of variations. We consider variational problems of the form [ inf limits _{vin V} { F(v)+G(Lambda v) }, ] where $F:Vrightarrow mathbb {R}$ is a convex lower semicontinuous functional, $G: Yrightarrow mathbb {R}$ is a uniformly convex functional, $V$ and $Y$ are reflexive Banach spaces, and $Lambda :Vrightarrow Y$ is a bounded linear operator. We show that the main classes of a posteriori error estimates known in the literature follow from the" @default.
- W2037836476 created "2016-06-24" @default.
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- W2037836476 date "1999-08-26" @default.
- W2037836476 modified "2023-10-18" @default.
- W2037836476 title "A posteriori error estimation for variational problems with uniformly convex functionals" @default.
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- W2037836476 doi "https://doi.org/10.1090/s0025-5718-99-01190-4" @default.
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