Numerical solution of the nonstationary Stokes system by methods of adjoint-equation theory and optimal control theory
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 br...
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| Veröffentlicht in: | Computational mathematics and mathematical physics 2007-07, Vol.47 (7), p.1142-1157 |
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| container_title | Computational mathematics and mathematical physics |
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| creator | Agoshkov, V. I. Botvinovskii, E. A. |
| description | 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.[PUBLICATION ABSTRACT] |
| doi_str_mv | 10.1134/S096554250707007X |
| format | Article |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Algorithms Control theory Convergence Design engineering Fluid flow Iterative algorithms Mathematical analysis Mathematical models Optimal control Studies |
| title | Numerical solution of the nonstationary Stokes system by methods of adjoint-equation theory and optimal control theory |
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