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    Wyświetlanie 1-9 z 9
    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:
    Fractional problems with right-handed Riemann-Lioville fractional derivatives
    Autorzy:
    Jankowski, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/1938600.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Gdańska
    Tematy:
    right-handed Riemann-Liouville fractional derivatives
    nonlinear boundary problems
    linear problems
    existence of solutions
    Mittag-Leffler functions
    Opis:
    In this paper, we investigate the existence of solutions for advanced fractional differential equations containing the right-handed Riemann-Liouville fractional derivative both with nonlinear boundary conditions and also with initial conditions given at the end point T of interval [0,T]. We use both the method of successive approximations, the Banach fixed point theorem and the monotone iterative technique, as well. Linear problems are also discussed. A few examples illustrate the results.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 1; 63-83
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Methods of solving operator eigenproblems in parallel distributed memory systems as applied in electromagnetics
    Autorzy:
    Rewieński, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1953952.pdf
    Data publikacji:
    1998
    Wydawca:
    Politechnika Gdańska
    Tematy:
    operator eigenproblems
    parallel numerical methods
    computational electromagnetics
    boundary value problems
    Opis:
    This study presents numerical methods of solving operator eigenproblems, focusing on their applications in electromagnetics. The discussion concentrates on the analysis of new iterative algorithms or modifications of the existing ones, which are capable of finding a few eigenvalues from the point spectrum of a non-symmetric operator. The salient feature of the considered methods is a low computational cost and memory complexity as compared to alternative solutions. This paper also presents implementations of the investigated algorithms in parallel distributed memory systems, based on the message-passing parallel programming model and providing portable parallel eigensolvers. The discussion of the applied designs of the parallel algorithms is supported by the presentation of the results of performance tests in selected distributed memory environments, including scalable parallel supercomputer systems and networks of workstations. The results of these tests confirm high efficiency of the eigensolvers in the considered parallel environments. In this study attention is also drawn to the question of the applicability of the eigensolvers to problems of modelling of electromagnetic fields in dielectric waveguides. The results of numerical tests validating the methods in these applications determine the scope of problems which may be most effectively solved using the specific eigensolvers.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 1998, 2, 4; 611-731
    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:
    Multiple solutions to third-order differential equations with derivative dependence and deviating arguments
    Autorzy:
    Jankowski, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/1938599.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Gdańska
    Tematy:
    boundary value problems with deviating arguments
    Stieltjes integral boundary conditions
    cone
    existence of positive solutions
    fixed point theorem
    Opis:
    In this paper, we give some new results for multiplicity of positive (nonnegative) solutions for third-order differential equations with derivative dependence, deviating arguments and Stieltjes integral boundary conditions. We discuss our problem with advanced argument α and arbitrary β ∈ C([0,1],[0,1]), see problem (2). It means that argument β can change the character on [0,1], so β can be delayed in some set J¯⊂ [0,1] and advanced in [0,1] \ J¯. Four examples illustrate the main results.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 1; 85-98
    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
    Tytuł:
    Matrix Greens function of double-diffusivity problem and its applications to problems with inner point source
    Autorzy:
    Chaplya, Yevhen
    Chernukha, Olha
    Bilushchak, Yurii
    Powiązania:
    https://bibliotekanauki.pl/articles/1954454.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Gdańska
    Tematy:
    Green’s function
    double-diffusivity
    initial-boundary value problem
    point mass source
    random coordinate
    Opis:
    The matrix Green’s function of the initial-boundary value problem of admixture double-diffusivity is defined. The initial-boundary value problem with a point source is formulated for the matrix elements for determination of the matrix Green’s function. Formulae for matrix elements are obtained and the behavior of Green’s functions is investigated. It is shown that the surface generated by the Green’s function has a typical sharp peak in the vicinity of the point of action of the point mass source, and in the vicinity of the top boundary of the layer ,the values of the second element of the Green’s function are times higher than the values of the first one the state of which is corresponding to the quick migration way. On this basis the solutions of the initial-boundary value problems under the action of the internal point source of mass are found. The cases of the deterministic source as well as stochastic ones under uniformand triangular distributions of the coordinate of the mass source location are considered.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2019, 23, 1; 75-99
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-9 z 9

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