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    Wyświetlanie 1-5 z 5
    Tytuł:
    Acoustical Boundary Elements : Theory and Virtual Experiments
    Autorzy:
    Piscoya, R.
    Ochmann, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/178118.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    boundary elements
    Green's functions
    non-uniqueness
    Opis:
    This paper presents an overview of basic concepts, features and difficulties of the boundary element method (BEM) and examples of its application to exterior and interior problems. The basic concepts of the BEM are explained firstly, and different methods for treating the non-uniqueness problem are described. The application of the BEM to half-space problems is feasible by considering a Green’s Function that satisfies the boundary condition on the infinite plane. As a special interior problem, the sound field in an ultrasonic homogenizer is computed. A combination of the BEM and the finite element method (FEM) for treating the problem of acoustic-structure interaction is also described. Finally, variants of the BEM are presented, which can be applied to problems arising in flow acoustics.
    Źródło:
    Archives of Acoustics; 2014, 39, 4; 453-465
    0137-5075
    Pojawia się w:
    Archives of Acoustics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Finite Element Uniqueness Studies for Coulombs Frictional Contact Model
    Autorzy:
    Hild, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/907890.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    element skończony
    Coulomb's friction law
    finite elements
    mesh-size dependent uniqueness conditions
    non-uniqueness example
    Opis:
    We are interested in the finite element approximation of Coulomb's frictional unilateral contact problem in linear elasticity. Using a mixed finite element method and an appropriate regularization, it becomes possible to prove existence and uniqueness when the friction coefficient is less than C varepsilon2 |log(h)|{-1}, where h and varepsilon denote the discretization and regularization parameters, respectively. This bound converging very slowly towards 0 when h decreases (in comparison with the already known results of the non-regularized case) suggests a minor dependence of the mesh size on the uniqueness conditions, at least for practical engineering computations. Then we study the solutions of a simple finite element example in the non-regularized case. It can be shown that one, multiple or an infinity of solutions may occur and that, for a given loading, the number of solutions may eventually decrease when the friction coefficient increases.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 41-50
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On unique solvability of a Dirichlet problem with nonlinearity depending on the derivative
    Autorzy:
    Bełdziński, Michał
    Galewski, Marek
    Powiązania:
    https://bibliotekanauki.pl/articles/256038.pdf
    Data publikacji:
    2019
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    diffeomorphism
    uniqueness non-potential problems
    variational methods
    monotone methods
    Palais-Smale condition
    Opis:
    In this work we consider second order Dirichelet boundary value problem with nonlinearity depending on the derivative. Using a global diffeomorphism theorem we propose a new variational approach leading to the existence and uniqueness result for such problems.
    Źródło:
    Opuscula Mathematica; 2019, 39, 2; 131-144
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Uniqueness of the Riccati operator of the non-standard ARE of a third order dynamics with boundary control
    Autorzy:
    Lasiecka, Irena
    Triggiani, Roberto
    Powiązania:
    https://bibliotekanauki.pl/articles/2183492.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    uniqueness
    non-standard algebraic Riccati equation
    Moore-Gibson-Thompson equation
    Opis:
    TheMoore-Gibson-Thompson [MGT] dynamics is considered. This third order in time evolution arises within the context of acoustic wave propagation with applications in high frequency ultrasound technology. The optimal boundary feedback control is constructed in order to have on-line regulation. The above requires wellposedness of the associated Algebraic Riccati Equation. The paper by Lasiecka and Triggiani (2022) recently contributed a comprehensive study of the Optimal Control Problem for the MGT-third order dynamics with boundary control, over an infinite time-horizon. A critical missing point in such a study is the issue of uniqueness (within a specific class) of the corresponding highly non-standard Algebraic Riccati Equation. The present note resolves this problem in the positive, thus completing the study of Lasiecka and Triggiani (2022) with the final goal of having on line feedback control, which is also optimal.
    Źródło:
    Control and Cybernetics; 2022, 51, 2; 171--189
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Non-material considerations and uniqueness in the planning of the development of urban space: Example of Lviv
    Autorzy:
    Musiaka, Łukasz
    Habrel, Mykola
    Habrel, Mykhailo
    Kosmiy, Myhailo
    Powiązania:
    https://bibliotekanauki.pl/articles/1892149.pdf
    Data publikacji:
    2021-06-30
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    non-material factors
    uniqueness of urban space
    expert methods
    spatial planning
    Opis:
    The paper is an attempt to respond to selected problems of the spatial planning system in Lviv, as defined by analyses of strategic documents. Based on the analysis, the authors proposed a spatial planning model considering non-material and hard-to-measure factors which have shaped the city. Lviv was selected for analysis because of its size, its long and multicultural history, and its considerable accumulation of tangible and intangible cultural heritage elements from various eras. Today, the city faces numerous challenges in terms of heritage protection, its functional and spatial development, and the choice of an effective form of planning and management. Hence the need to offer an in-depth reflection on the importance and to consider the rich cultural heritage and non-material factors shaping urban space, in the spatial planning process.
    Źródło:
    European Spatial Research and Policy; 2021, 28, 1; 307-333
    1231-1952
    1896-1525
    Pojawia się w:
    European Spatial Research and Policy
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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