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    Wyświetlanie 1-6 z 6
    Tytuł:
    Shape identification in nonlinear boundary problems solved by pies method
    Autorzy:
    Zieniuk, E.
    Bołtuć, A.
    Szerszeń, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/387431.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    PIES
    PIES method
    defect
    shape identification
    nonlinear equation
    metoda PIES
    defekt
    identyfikacja kształtu
    równanie nieliniowe
    Opis:
    The paper presents the strategy for identifying the shape of defects in the domain defined in the boundary value problem modelled by the nonlinear differential equation. To solve the nonlinear problem in the iterative process the PIES method and its ad-vantages were used: the efficient way of the boundary and the domain modelling and global integration. The identification was performed using the genetic algorithm, where in connection with the efficiency of PIES we identify the small number of data required to the defect’s definition. The strategy has been tested for different shapes of defects.
    Źródło:
    Acta Mechanica et Automatica; 2014, 8, 1; 16-21
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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
    Tytuł:
    nu-spline curves for boundary geometry modeling in two-dimensional potential boundary value problems with singular corner points
    Autorzy:
    Zieniuk, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/1931590.pdf
    Data publikacji:
    2002
    Wydawca:
    Politechnika Gdańska
    Tematy:
    parametric integral equation system
    boundary integral equation
    potential problem
    nu-spline
    Opis:
    The paper presents a new modeling method of boundary geometry in boundary value-problems by nu-spline curves. To define a smooth boundary geometry both Bezier and B-spline curves are applied. At the segment join points Bezier curves ensure continuity C1, and B-spline curves allow us to maintain continuity C2. However, the curves hinder boundary modeling with corner points. In order to weaken the continuity at segment join points nu-spline curves are proposed. These curves are combined analytically with the Green formula, thus yielding the Parametric Integral Equation System (PIES). To solve the PIES a pseudospectral method is used. The results obtained for the domains with singular corner points are compared with the corresponding non-singular ones as defined by the nu-spline curves.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2002, 6, 4; 641-650
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The identification of the boundary geometry with corner points in inverse two-dimensional potential problems
    Autorzy:
    Zieniuk, E.
    Gabrel, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/1931586.pdf
    Data publikacji:
    2002
    Wydawca:
    Politechnika Gdańska
    Tematy:
    inverse boundary value problem
    boundary geometry identification
    geometry
    parametric integral equation system
    finite element method
    boundary element method
    evolution algorithm
    genetic algorithms
    Opis:
    The paper presents fragment of a larger study concerning the effective methods of solving the inverse boundary value problems. The boundary value problem described here is formulated as a problem of the identification of a boundary geometry with corner points. A method using a parametric integral equations system (PIES) is proposed. PIES used in the method makes the easy modelling of the geometry with corner points possible. This effect is obtained by the application of modified splines. An evolution algorithm is used for the effective control of modifications of the boundary geometry. Some experimental tests of the efficiency of the discussed method were performed for two-dimensional inverse potential problems.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2002, 6, 4; 651-660
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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