Geodesic
Numerical solution of the nonstationary Stokes system by methods of adjoint-equation theory and optimal control theory
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1192-1207

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Methods in optimal control and the adjoint-equation theory are applied to the design of iterative algorithms for the numerical solution of the nonstationary Stokes system perturbed by a skew-symmetric operator. A general scheme is presented for constructing algorithms of this kind as applied to a broad class of problems. The scheme is applied to the nonstationary Stokes equations, and the convergence rate of the corresponding iterative algorithm is examined. Some numerical results are given. 
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     author = {V. I. Agoshkov and E. Botvinovsky},
     title = {Numerical solution of the nonstationary {Stokes} system by methods of adjoint-equation theory and optimal control theory},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1192--1207},
     publisher = {mathdoc},
     volume = {47},
     number = {7},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a6/}
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V. I. Agoshkov; E. Botvinovsky. Numerical solution of the nonstationary Stokes system by methods of adjoint-equation theory and optimal control theory. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1192-1207. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a6/