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Wyszukujesz frazę "Laplace equation" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
Identification of polygonal domains using PIES in inverse boundary problems modeled by 2D Laplaces equation
Autorzy:
Zieniuk, E.
Bołtuć, A.
Powiązania:
https://bibliotekanauki.pl/articles/1964153.pdf
Data publikacji:
2005
Wydawca:
Politechnika Gdańska
Tematy:
parametric integral equation system (PIES)
inverse problems
Laplace's equation
Opis:
The paper presents an original method to identify polygonal boundary geometry in 2D boundary problems defined by Laplace's equation using a parametric integral equation system (PIES). In the PIES, the polygonal boundary shape is defined mathematically by means of parametric linear segments, with a small number of corner points being posed. Identification of the polygonal boundary is reduced to identification of the corner points. Finally, the solution of the problem is reduced to the solution of a non-linear system of algebraic equations. Coordinates of identified corner points are obtained after solving the system of equations.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2005, 9, 4; 415-426
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Software for determination of surface tension with sessile drop method
Autorzy:
Lytvyn, M.
Powiązania:
https://bibliotekanauki.pl/articles/1940693.pdf
Data publikacji:
2017
Wydawca:
Politechnika Gdańska
Tematy:
sessile drop method
surface tension calculation
Young-Laplace equation
Opis:
The sessile drop method was implemented to calculate the values of the surface tension coefficient of liquid metals. Appropriate software was developed to increase the data processing efficiency and the accuracy of the obtained results. This paper provides information on the structure and applications of the designed programs as well as the underlying mathematical models used during computations. Since the determination of the surface tension coefficient in this study is based on the recognition of drop outlines from a digital image, the problems of calibration and appropriate photography mode adjustments are mentioned in this paper. In addition, the methods of controlling the research equipment using Arduino shields are described. Finally, the research results are presented in the form of graphs which show the temperature dependence of the studied parameters of metallic samples and compared with the literature data.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2017, 21, 1; 65-76
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fourier image methods for evolution equations of deep-water waves
Autorzy:
Jankowski, Jan
Leszczyński, Henryk
Powiązania:
https://bibliotekanauki.pl/articles/1955223.pdf
Data publikacji:
2019
Wydawca:
Politechnika Gdańska
Tematy:
wave evolution
Laplace equation
Fourier transform
method of lines
Gauss-Hermite quadrature
Opis:
The velocity potential of the fluid satisfies the Laplace equation with nonlocal boundary conditions on a free surface. This differential problem is transformed to an evolution equation in Fourier variables. The Fourier transform images of boundary functions are approximated by Picard's iterations and the method of lines on meshes related to roots of Hermite polynomials. Due to convolutions of sine and cosine functions the integral terms of Picard's iterations reveal unexpected instabilities for wave numbers in a neighborhood of zero.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2019, 23, 3; 261-268
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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