- Tytuł:
- Identification of matrix parameters in elliptic PDEs
- Autorzy:
-
Deckelnick, K.
Hinze, M. - Powiązania:
- https://bibliotekanauki.pl/articles/206153.pdf
- Data publikacji:
- 2011
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
parameter identification
elliptic optimal control problem
control constraints
H-convergence
variational discretization - Opis:
- In the present work we treat the inverse problem of identifying the matrix-valued diffusion coefficient of an elliptic PDE from multiple interior measurements with the help of techniques from PDE constrained optimization. We prove existence of solutions using the concept of H-convergence and employ variational discretization for the discrete approximation of solutions. Using a discrete version of H-convergence we are able to establish the strong convergence of the discrete solutions. Finally we present some numerical results.
- Źródło:
-
Control and Cybernetics; 2011, 40, 4; 957-969
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł