Geodesic
A posteriori estimates for the Stokes problem
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Tome 259 (1999), pp. 195-211 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, a posteriori estimates for the velocity, stress and pressure fields are obtained for the stationary Stokes problem. The general estimate is a sum of three physically meaningful parts which correspond to the errors in the constitutive relations, in the incompressibility condition and in the equilibrium equation for the associated stress field. It is proved that the right-hand side of the estimate tends to zero for any sequence converging to the exact solution in the energy space. 
@article{ZNSL_1999_259_a9,
     author = {S. I. Repin},
     title = {A posteriori estimates for the {Stokes} problem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {195--211},
     year = {1999},
     volume = {259},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a9/}
}
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S. I. Repin. A posteriori estimates for the Stokes problem. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Tome 259 (1999), pp. 195-211. http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a9/