Research Communication | Open Access
Volume 2021 | Communication ID 176
Volume 2021 | Communication ID 176
| On new numerical study of a shape optimization problem with constrained coupled problems |
Abdelkrim Chakib, Abdesslam Boulkhemair, Azeddine Sadik
Received |
Accepted |
Published |
January 30, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: In this paper, we deal with numerical method for the approximation of a class of coupled shape optimization problem, which consist in minimizing an appropriate general cost functional subjected to coupled boundary value problems by means of a Neumann boundary transmission condition. We show the existence of the shape derivative of the cost functional and express it by means of support functions, using the formulas proposed in [1]. This allows us to avoid the disadvantages related to the classical shape derivative method using vectors field [2]. Then the numerical discretization is performed ...