Temat: variational formulations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

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

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