Temat: mixed formulations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

Tytuł:: Asymptotic analysis of the steady advection-diffusion problem in axial domains
Autorzy:: Morales, Fernando A.
Powiązania:: https://bibliotekanauki.pl/articles/29519253.pdf
Data publikacji:: 2023
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: asymptotic analysis
mixed-type variational formulations
advection-diffusion
Opis:: We present the asymptotic analysis of the steady advection-diffusion equation in a thin tube. The problem is modeled in a mixed-type variational formulation, in order to separate the phenomenon in the axial direction and a transverse one. Such formulation makes visible the natural separation of scales within the problem and permits a successful asymptotic analysis, delivering a limiting form, free from the initial geometric singularity and suitable for approximating the original one. Furthermore, it is shown that the limiting problem can be simplified to a significantly simpler structure.
Źródło:: Opuscula Mathematica; 2023, 43, 2; 199-220
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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