Geodesic
Estimates of deviations from exact solution of the Stokes problem in the vorticity-velocity-pressure formulation
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 42, Tome 397 (2011), pp. 73-88 Cet article a éte moissonné depuis la source Math-Net.Ru

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Vorticity-velocity-pressure formulation for the stationary Stokes problem in 2D is considered. We analyze the corresponding generalized formulation, establish sufficient conditions that guarantee existence of the generalized solution and deduce estimates of the difference between the exact solution (i.e., exact velocity, vorticity, and pressure) and an arbitrary approximating function (velocity, vorticity, pressure) that belongs to the corresponding functional class and satisfies the boundary conditions. For this purpose we use the method suggested in [10, 12], which is based on transformations of the integral identity that defines the corresponding generalized solution. 
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     author = {A. Mikhaylov and S. Repin},
     title = {Estimates of deviations from exact solution of the {Stokes} problem in the vorticity-velocity-pressure formulation},
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     year = {2011},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_397_a3/}
}
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A. Mikhaylov; S. Repin. Estimates of deviations from exact solution of the Stokes problem in the vorticity-velocity-pressure formulation. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 42, Tome 397 (2011), pp. 73-88. http://geodesic.mathdoc.fr/item/ZNSL_2011_397_a3/

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