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    Wyświetlanie 1-4 z 4
    Tytuł:
    Numerical Analysis and Simulations of Quasistatic Frictionless Contact Problems
    Autorzy:
    Fernandez Garcia, J. R.
    Han, W.
    Shillor, M.
    Sofonea, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/908327.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    analiza numeryczna
    quasistatyka
    metoda elementów skończonych
    quasistatic contact
    Signorini condition
    normal compliance
    viscoplasticity
    variational inequalitie
    error estimate
    finite element method (FEM)
    numerical approximation
    Opis:
    A summary of recent results concerning the modelling as well as the variational and numerical analysis of frictionless contact problems for viscoplastic materials are presented. The contact is modelled with the Signorini or normal compliance conditions. Error estimates for the fully discrete numerical scheme are described, and numerical simulations based on these schemes are reported.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 205-222
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A direct and accurate adaptive semi-Lagrangian scheme for the Vlasov-Poisson equation
    Autorzy:
    Campos Pinto, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/929689.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    metoda Lagrangiana
    oszacowanie błędu
    szybkość zbieżności
    fully adaptive scheme
    semi-Lagrangian method
    Vlasov-Poisson equation
    error estimate
    convergence rates
    optimal transport of adaptive multiscale meshes
    Opis:
    This article aims at giving a simplified presentation of a new adaptive semi-Lagrangian scheme for solving the (1 + 1)- dimensional Vlasov-Poisson system, which was developed in 2005 with Michel Mehrenberger and first described in (Campos Pinto and Mehrenberger, 2007). The main steps of the analysis are also given, which yield the first error estimate for an adaptive scheme in the context of the Vlasov equation. This article focuses on a key feature of our method, which is a new algorithm to transport multiscale meshes along a smooth flow, in a way that can be said optimal in the sense that it satisfies both accuracy and complexity estimates which are likely to lead to optimal convergence rates for the whole numerical scheme. From the regularity analysis of the numerical solution and how it gets transported by the numerical flow, it is shown that the accuracy of our scheme is monitored by a prescribed tolerance parameter \epsilon which represents the local interpolation error at each time step. As a consequence, the numerical solutions are proved to converge in L\infty towards the exact ones as \epsilon and \delta t tend to zero, and in addition to the numerical tests presented in (Campos Pinto and Mehrenberger, 2007), some complexity bounds are established which are likely to prove the optimality of the meshes.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 3; 351-359
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An analytical and numerical approach to a bilateral contact problem with nonmonotone friction
    Autorzy:
    Barboteu, M.
    Bartosz, K.
    Kalita, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/330898.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    linearly elastic material
    bilateral contact
    nonmonotone friction law
    hemivariational inequality
    finite element method
    error estimate
    nonconvex proximal bundle method
    quasi augmented Lagrangian method
    Newton method
    metoda elementów skończonych
    szacowanie błędu
    metoda Lagrangiana
    metoda Newtona
    Opis:
    We consider a mathematical model which describes the contact between a linearly elastic body and an obstacle, the so-called foundation. The process is static and the contact is bilateral, i.e., there is no loss of contact. The friction is modeled with a nonmotonone law. The purpose of this work is to provide an error estimate for the Galerkin method as well as to present and compare two numerical methods for solving the resulting nonsmooth and nonconvex frictional contact problem. The first approach is based on the nonconvex proximal bundle method, whereas the second one deals with the approximation of a nonconvex problem by a sequence of nonsmooth convex programming problems. Some numerical experiments are realized to compare the two numerical approaches.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 263-276
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Revisiting the optimal probability estimator from small samples for data mining
    Autorzy:
    Cestnik, Bojan
    Powiązania:
    https://bibliotekanauki.pl/articles/330350.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    probability estimation
    small sample
    minimal error
    m-estimate
    estymacja prawdopodobieństwa
    mała próbka
    błąd minimalny
    Opis:
    Estimation of probabilities from empirical data samples has drawn close attention in the scientific community and has been identified as a crucial phase in many machine learning and knowledge discovery research projects and applications. In addition to trivial and straightforward estimation with relative frequency, more elaborated probability estimation methods from small samples were proposed and applied in practice (e.g., Laplace’s rule, the m-estimate). Piegat and Landowski (2012) proposed a novel probability estimation method from small samples Eph√2 that is optimal according to the mean absolute error of the estimation result. In this paper we show that, even though the articulation of Piegat’s formula seems different, it is in fact a special case of the m-estimate, where pa = 1/2 and m = √2. In the context of an experimental framework, we present an in-depth analysis of several probability estimation methods with respect to their mean absolute errors and demonstrate their potential advantages and disadvantages. We extend the analysis from single instance samples to samples with a moderate number of instances. We define small samples for the purpose of estimating probabilities as samples containing either less than four successes or less than four failures and justify the definition by analysing probability estimation errors on various sample sizes.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2019, 29, 4; 783-796
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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