- Tytuł:
- Notes on the nonlinear dependence of a multiscale coupled system with respect to the interface
- Autorzy:
- Morales, F. A.
- Powiązania:
- https://bibliotekanauki.pl/articles/255380.pdf
- Data publikacji:
- 2015
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
multiscale coupled systems
interface geometric perturbations
variational formulations
nonlinear dependence - Opis:
- This work studies the dependence of the solution with respect to interface geometric perturbations, in a multiscaled coupled Darcy flow system in direct variational formulation. A set of admissible perturbation functions and a sense of convergence is presented, as well as sufficient conditions on the forcing terms, in order to conclude strong convergence statements. For the rate of convergence of the solutions we start solving completely the one dimensional case, using orthogonal decompositions on the appropriate subspaces. Finally, the rate of convergence question is analyzed in a simple multi dimensional setting, by studying the nonlinear operators introduced due to the geometric perturbations.
- Źródło:
-
Opuscula Mathematica; 2015, 35, 4; 517-546
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł