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Wyświetlanie 1-3 z 3
Tytuł:
A non-element method of solving the two-dimensional Navier-Lamé equation in problems with non-homogeneous polygonal subregions
Autorzy:
Zieniuk, E.
Bołtuć, A.
Powiązania:
https://bibliotekanauki.pl/articles/1933185.pdf
Data publikacji:
2008
Wydawca:
Politechnika Gdańska
Tematy:
Navier-Lamé equation
boundary problems
subregions
PIES
Opis:
The paper introduces a parametric integral equation system (PIES) for solving 2D boundary problems defined on connected polygonal domains described by the Navier-Lame equation. Parametric linear functions were applied in the PIES to define analytically the polygonal subregions' interfaces. Only corner points and additional extreme points on the interface between the connected subregions are posed to practically define a polygonal domain. An important advantage of this approach is that the number of such points is independent of the area of identically shaped domains due to the elimination of traditional elements from modeling, the number of those elements being dependent on the domain's surface area. In order to test the reliability and effectiveness of the proposed method, test examples are included in which areas of displacements and stresses are analyzed in each subregion.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2008, 12, 1-2; 71-84
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
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:
Application of PIES and rectangular Bezier surfaces to complex and non-homogeneous problems of elasticity with body forces
Autorzy:
Boltuc, A.
Zieniuk, E.
Powiązania:
https://bibliotekanauki.pl/articles/1955310.pdf
Data publikacji:
2010
Wydawca:
Politechnika Gdańska
Tematy:
boundary problems
elasticity
body forces
non-homogeneous materials
Bezier surfaces
parametric integral equation system (PIES)
Opis:
This paper presents a variety of applications of an effective way to solve boundary value problems of 2D elasticity with body forces. An overview of the approach is presented, its numerical implementation, as well as a number of applications, ranging from problems defined on elementary shapes to complex problems, e.g. with non-homogeneous material. The results obtained by the parametric integral equation system (PIES) were compared with the analytical and numerical solutions obtained by other computer methods, confirming the effectiveness of the method and its applicability to a variety of problems.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2010, 14, 4; 363-376
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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