Lapin, A. and Laitinen, E. (2018) Iterative Solution of Mesh Constrained Optimal Control Problems with Two-Level Mesh Approximations of Parabolic State Equation. Journal of Applied Mathematics and Physics, 6, 58-68. https://doi.org/10.4236/jamp.2018.61007
Iterative solution of mesh constrained optimal control problems with two-level mesh approximations of parabolic state equation
|Author:||Lapin, A.1,2; Laitinen, E.3|
1Institute of Computational Mathematics & Information Technology, Kazan Federal University, Kazan, Russia
2Tianjin University of Finance and Economics, Tianjin , China
3Department of Mathematical Sciences, University of Oulu, Oulu, Finland
|Online Access:||PDF Full Text (PDF, 0.3 MB)|
|Persistent link:|| http://urn.fi/urn:nbn:fi-fe201901293404
Scientific Research Publishing,
|Publish Date:|| 2019-01-29
We consider a linear-quadratical optimal control problem of a system governed by parabolic equation with distributed in right-hand side control and control and state constraints. We construct a mesh approximation of this problem using different two-level approximations of the state equation, ADI and fractional steps approximations in time among others. Iterative solution methods are investigated for all constructed approximations of the optimal control problem. Their implementation can be carried out in parallel manner.
Journal of applied mathematics and physics
|Type of Publication:||
A1 Journal article – refereed
|Field of Science:||
The research was supported by the RFBR grant No. 16-01-00408 and by grants
No. 296348 and No. 296928 from Academy of Finland.
|Academy of Finland Grant Number:||
296348 (Academy of Finland Funding decision)
296928 (Academy of Finland Funding decision)
© 2018 The Authors. CC-BY.