An iterative method for optimal control of bilateral free boundaries
problem
- Youness EL YAZIDI,
- Abdellatif ELLABIB
Abdellatif ELLABIB
Cadi Ayyad University Faculty of Science and Technology Gueliz
Author ProfileAbstract
The aim of this paper is to construct a numerical scheme for solving a
class of bilateral free boundaries problem. First, using a shape
functional and some regularization terms, an optimal control problem is
formulated, in addition, we prove its solution existence's. The first
optimality conditions and the shape gradient are computed. the proposed
numerical scheme is a genetic algorithm guided conjugate gradient
combined with the finite element method, at each mesh regeneration, we
perform a mesh refinement in order to avoid any domain singularities.
Some numerical examples are shown to demonstrate the validity of the
theoretical results, and to prove the robustness of the proposed scheme.29 Jul 2020Submitted to Mathematical Methods in the Applied Sciences 31 Jul 2020Submission Checks Completed
31 Jul 2020Assigned to Editor
11 Aug 2020Reviewer(s) Assigned
11 Mar 2021Review(s) Completed, Editorial Evaluation Pending
11 Mar 2021Editorial Decision: Revise Minor
17 Apr 20211st Revision Received
18 Apr 2021Submission Checks Completed
18 Apr 2021Assigned to Editor
21 Apr 2021Reviewer(s) Assigned
02 May 2021Review(s) Completed, Editorial Evaluation Pending
03 May 2021Editorial Decision: Accept
30 Sep 2021Published in Mathematical Methods in the Applied Sciences volume 44 issue 14 on pages 11664-11683. 10.1002/mma.7527