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Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337

巻:
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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v46.i7.30
pages 28-39

Optimal Boundary Control Problem Solution for Inhomogeneous Biharmonic Equations

Elena M. Kiseleva
Oles Honchar Dnipro National University, Dnepr
Lyubov V. Voloshko
Oles Honchar Dnepropetrovsk National University

要約

Consideration is given to the optimal boundary control problem for inhomogeneous biharmonic equation to be solved by one of the gradient methods. By means of the potential method the linear problem is reduced to the system of Fredgolm integral equations of the first kind. The effectiveness of the algorithm is confirmed by high accuracy of obtained calculations results.

参考

  1. Kiseleva E.M., Koryashkina L.S. , Models and methods for solving continuous problems of sets optimal partition: linear, nonlinear, dynamic problems [in Russian].

  2. Vasiliev F.P. , Numerical methods for extreme problem solution [in Russian].

  3. Sergienko I.V., Deineka V.S. , Identification of thermoelasticity problems parameters under nonstationary temperature field.

  4. Tikhonov A.N., Samarskiy A.A. , Equations of mathematical physics [in Russian].

  5. Arsenin V.Ya. , Methods of mathematical physics and special functions [in Russian].

  6. Kiseleva O.M., Lamzyuk V.D., Voloshko L.V. , On solution of boundary value problem for inhomogeneous biharmonic equation for domain of complex form.

  7. Boborykin V.G. , Green functions for clamped Kirchhoff plate of arbitrary contour.

  8. Timoshenko S.P., Voynovskiy-Kriger S. , Plates and frames [in Russian].


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