- Tytuł:
- The interaction between PDE and graphs in multiscale modeling
- Autorzy:
-
Morales, F. A.
Alvares, S.N. - Powiązania:
- https://bibliotekanauki.pl/articles/254867.pdf
- Data publikacji:
- 2017
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
coupled PDE systems
mixed formulations
porous media
analytic graph theory
complex networks - Opis:
- In this article an upscaling model is presented for complex networks with highly clustered regions exchanging/trading quantities of interest at both, microscale and macroscale level. Such an intricate system is approximated by a partitioned open map in R2 or R3. The behavior of the quantities is modeled as flowing in the map constructed and thus it is subject to be described using partial differential equations. We follow this approach using the Darcy Porous Media, saturated fluid flow model in mixed variational formulation.
- Źródło:
-
Opuscula Mathematica; 2017, 37, 2; 327-345
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł