Numerical solution of the nonstationary Stokes system by methods of adjoint-equation theory and optimal control theory |
| |
Authors: | V I Agoshkov E A Botvinovskii |
| |
Institution: | (1) Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia |
| |
Abstract: | 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. |
| |
Keywords: | nonstationary Stokes equations optimal control adjoint equations iterative method |
本文献已被 SpringerLink 等数据库收录! |