- Tytuł:
- An inverse backward problem for degenerate two-dimensional parabolic equation
- Autorzy:
-
Atifi, Khalid
Essoufi, El-Hassan
Khouiti, Bouchra - Powiązania:
- https://bibliotekanauki.pl/articles/255085.pdf
- Data publikacji:
- 2020
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
data assimilation
adjoint method
regularization
heat equation
inverse problem
degenerate equations
optimization - Opis:
- This paper deals with the determination of an initial condition in the degenerate two-dimensional parabolic equation [formula], where Ω is an open, bounded subset of R2, a [formula] with a ≥0 everywhere, and [formula], with initial and boundary conditions [formula] from final observations. This inverse problem is formulated as a minimization problem using the output least squares approach with the Tikhonov regularization. To show the convergence of the descent method, we prove the Lipschitz continuity of the gradient of the Tikhonov functional. Also we present some numerical experiments to show the performance and stability of the proposed approach.
- Źródło:
-
Opuscula Mathematica; 2020, 40, 4; 427-449
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł