Geodesic
A posteriori error estimation for nonlinear variational problems by duality theory
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 201-214 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we use duality theory of the calculus of variations for deriving a posteriori error estimates. We obtain a general form of this (duality) error estimate and show that known classes of a posteriori error estimates are its particular cases. 
@article{ZNSL_1997_243_a12,
     author = {S. I. Repin},
     title = {A posteriori error estimation for nonlinear variational problems by duality theory},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {201--214},
     year = {1997},
     volume = {243},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a12/}
}
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S. I. Repin. A posteriori error estimation for nonlinear variational problems by duality theory. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 201-214. http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a12/