Temat: Fourier’s method - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Analytical validation of the Finite Element Method model for Laplace equation
Autorzy:: Węgrzyn-Skrzypczak, Ewa
Skrzypczak, Tomasz
Powiązania:: https://bibliotekanauki.pl/articles/122738.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Laplace equation
Fourier’s method
Finite Element Method
równanie Laplace'a
metoda Fouriera
metoda elementów skończonych
Opis:: The presented paper is focused on the comparison of the numerical solution of the Laplace equation in a two-dimensional space with the results obtained with the use of the analytical method. The results of the numerical model are computed on the base of the Finite Element Method. The analytical solution of the considered equation is obtained using the Fourier series. Finally the results of both methods are compared in order to verify the accuracy of numerical implementation.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 3; 97-106
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Analytical and numerical solution of the heat conduction problem in the rod
Autorzy:: Węgrzyn-Skrzypczak, E.
Skrzypczak, T.
Powiązania:: https://bibliotekanauki.pl/articles/122856.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: heat conduction equation
Fourier’s method
Finite Element Method
przewodzenie ciepła
metoda Fouriera
metoda elementów skończonych
Opis:: In this paper, the results of analytical and numerical solution of the problem of heat transport in the rod of finite length are presented. The analytical solution is obtained with the use of the Fourier series. The numerical model of the problem is based on the Finite Element Method (FEM). In addition, to check the compatibility of both solutions, distributions of the temperature for selected time moments are compared and discussed.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 4; 79-86
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Numerical approaches to the heat transfer problem in modern electronic structures
Autorzy:: Raszkowski, T.
Samson, A.
Powiązania:: https://bibliotekanauki.pl/articles/952934.pdf
Data publikacji:: 2017
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: nanoscale heat transfer
Fourier-Kirchhoff equation
dual-phase-lag equation
finite difference method
Runge-Kutta method
gear’s method
thermal analyses
Opis:: The main aim of this paper is to present a detailed description of the research related to the modeling of heat conduction in modern electronic structures, including special consideration for numerical aspects of analyzed algorithms. The motivation to undertake the research as well as some of the most-important results of the experiments and simulations are also included. Moreover, a numerical approximation of the problem as well as the methodology used and a sample solution of the mentioned problem are presented. In the main part, the discretization techniques, Ordinary Differential Equation algorithms, and simulation results for Runge-Kutta’s and Gear’s algorithms are analyzed and discussed. Additionally, a new effective approach to the modeling of heat transfer in electronic nanostructures is demonstrated.
Źródło:: Computer Science; 2017, 18 (1); 71-93
1508-2806
2300-7036
Pojawia się w:: Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

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