| Autor: |
Merabti, Nesrine Lamya, Batiha, Iqbal M., Rezzoug, Imad, Ouannas, Adel, Ouassaeif, Taki-Eddine |
| Předmět: |
|
| Zdroj: |
Journal of Nigerian Society of Physical Sciences; Nov2023, Vol. 5 Issue 4, p1-8, 8p |
| Abstrakt: |
This paper is interested in studying the one-phase Stefan problem. For this purpose, we use the nonlinear sentinel method, which relies typically on the approximate controllability and the Fanchel-Rockafellar duality of the minimization problem, to prove the existence and uniqueness of a solution to this problem. In particular, our research focuses on the application of the nonlinear sentinel method to the single-phase Stefan problem. This approach aids in identifying an unspecified boundary section within the domain undergoing a liquid-solid phase transition. We track the evolution of the temperature profile in the liquid-solid material and the corresponding movement of its interface over time. Eventually, the local convergence used for the iterative numerical scheme is demonstrated. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
