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On the solution of the distributed optimal control problem with time-periodic parabolic equations
  • Davod Khojasteh Salkuyeh
Davod Khojasteh Salkuyeh
University of Guilan

Corresponding Author:[email protected]

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Abstract

We consider the system of linear equations arisen from the finite element discretization of the distributed optimal control problem with time-periodic parabolic equations. A block alternating splitting iteration (BASI) method is presented for solving the obtained system. We prove that the BASI method is unconditionally convergent. We derive the BASI preconditioner and present an estimation formula for the parameter of the BASI preconditioner. Numerical results are presented to verify the efficiency of both the BASI method and the BASI preconditioner. Comparison with some existing methods are also given.

Peer review status:ACCEPTED

29 Sep 2022Submitted to Mathematical Methods in the Applied Sciences
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30 Sep 2022Submission Checks Completed
30 Sep 2022Assigned to Editor
20 Oct 2022Reviewer(s) Assigned
17 Dec 2022Review(s) Completed, Editorial Evaluation Pending
21 Dec 2022Editorial Decision: Revise Major
11 Jan 20231st Revision Received
14 Jan 2023Submission Checks Completed
14 Jan 2023Assigned to Editor
14 Jan 2023Review(s) Completed, Editorial Evaluation Pending
18 Jan 2023Reviewer(s) Assigned
06 Mar 2023Editorial Decision: Revise Minor
20 Mar 20232nd Revision Received
21 Mar 2023Submission Checks Completed
21 Mar 2023Assigned to Editor
21 Mar 2023Review(s) Completed, Editorial Evaluation Pending
28 Mar 2023Editorial Decision: Accept