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Wyszukujesz frazę "solution sensitivity" wg kryterium: Temat

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    Wyświetlanie 1-5 z 5
    Tytuł:
    Stable solution to nonstationary inverse heat conduction equation
    Autorzy:
    Joachimiak, M.
    Ciałkowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/240557.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    inverse problem
    nonstationary heat conduction equations
    solution sensitivity
    integral parameter
    zagadnienie odwrotne
    parametr
    całka
    wrażliwość
    roztwór
    Opis:
    The paper presents investigations related to solving of a direct and inverse problem of a non-stationary heat conduction equation for a cylinder. The solution of the inverse problem in the form of temperature distributions has been obtained through minimization of a functional being the measure of the difference between the values of measured and calculated temperatures in M points of the heated cylinder. The solution of the conduction equation was presented in the convolutional form and then numerically integrated approximating one of the integrand with a step function described with parameter Θ ∈ (0, 1]. The influence of the integration parameter Θ on the obtained solution of the inverse problem (including a number of temperature measurement points inside the heated body) has been analyzed. The influence of the parameter Θ on the sensitivity of the obtained temperature distributions has been investigated.
    Źródło:
    Archives of Thermodynamics; 2018, 39, 1; 25-37
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal choice of integral parameter in a process of solving the inverse problem for heat equation
    Autorzy:
    Joachimiak, M.
    Ciałkowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/240049.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    inverse problem
    sensitivity of solution
    heat conduction
    zagadnienie odwrotne
    przewodnictwo ciepła
    Opis:
    Inverse boundary problem for cylindrical geometry and unsteady heat conduction equation was solved in this paper. This solution was presented in a convolution form. Integration of the convolution was made assuming the distribution of temperature T on the integration interval (ti, ti + Δt) in the form T (x, t) = T (x, ti) Θ + T (z, ti + Δt) (1 - Θ), where Θ ϵ (0,1). The influence of value of the parameter Θ on the sensitivity of the solution to the inverse problem was analysed. The sensitivity of the solution was examined using the SVD decomposition of the matrix A of the inverse problem and by analysing its singular values. An influence of the thermocouple installation error and stochastic error of temperature measurement as well as the parameter Θ on the error of temperature distribution on the edge of the cylinder was examined.
    Źródło:
    Archives of Thermodynamics; 2014, 35, 3; 265-280
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Non-linear unsteady inverse boundary problem for heat conduction equation
    Autorzy:
    Joachimiak, M.
    Ciałkowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/239945.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    inverse problem
    sensitivity of solution to inverse problem
    application of Chebyshev polynomials
    zagadnienie odwrotne
    wrażliwość rozwiązania
    wielomiany Czebyszewa
    zastosowanie
    Opis:
    Direct and inverse problems for unsteady heat conduction equation for a cylinder were solved in this paper. Changes of heat conduction coefficient and specific heat depending on the temperature were taken into consideration. To solve the non-linear problem, the Kirchhoff’s substitution was applied. Solution was written as a linear combination of Chebyshev polynomials. Sensitivity of the solution to the inverse problem with respect to the error in temperature measurement and thermocouple installation error was analysed. Temperature distribution on the boundary of the cylinder, being the numerical example presented in the paper, is similar to that obtained during heating in the nitrification process.
    Źródło:
    Archives of Thermodynamics; 2017, 38, 2; 81-100
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The stability radius of an efficient solution in minimax Boolean programming problem
    Autorzy:
    Emelichev, V. A.
    Krichko, V. N.
    Nikulin, Y. V.
    Powiązania:
    https://bibliotekanauki.pl/articles/970431.pdf
    Data publikacji:
    2004
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    analiza wrażliwości
    promień stabilny
    programowanie Boole'a
    rozwiązanie optymalne Pareto
    sensitivity analysis
    stability radius
    Boolean programming
    Pareto optimal solution
    Opis:
    We consider a vector minimax Boolean programming problem. The problem consists in finding the set of Pareto optimal solutions. When the problem's parameters vary then the optimal solution of the problem obtained for some initial parameters may appear non-optimal. We calculate the maximal perturbation of parameters which preseves the Optimality of a given solution of the problem. The formula for the stability radius of the given Pareto optimal solution was obtained.
    Źródło:
    Control and Cybernetics; 2004, 33, 1; 127-132
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimality and sensitivity for semilinear bang-bang type optimal control problems
    Autorzy:
    Felgenhauer, U.
    Powiązania:
    https://bibliotekanauki.pl/articles/907953.pdf
    Data publikacji:
    2004
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowanie optymalne
    struktura roztworu
    warunki optymalności
    bang-bang control
    optimality conditions
    sensitivity differentials
    solution structure
    stability in optimal control
    strong local optima
    Opis:
    In optimal control problems with quadratic terminal cost functionals and systems dynamics linear with respect to control, the solution often has a bang-bang character. Our aim is to investigate structural solution stability when the problem data are subject to perturbations. Throughout the paper, we assume that the problem has a (possibly local) optimum such that the control is piecewise constant and almost everywhere takes extremal values. The points of discontinuity are the switching points. In particular, we will exclude the so-called singular control arcs, see Assumptions 1 and 2, Section 2. It is known from the results by Agrachev et al. (2002) stating that regularity assumptions, together with a certain strict second-order condition for the optimization problem formulated in switching points, are sufficient for strong local optimality of a state-control solution pair. This finite-dimensional problem is analyzed in Section 3 and optimality conditions are formulated (Lemma 2). Using well-known results concerning solution sensitivity for mathematical programs in Rn (Fiacco, 1983) one may further conclude that, under parameter changes in the problem data, the switching points will change Lipschitz continuously. The last section completes these qualitative statements by calculating sensitivity differentials (Theorem 2, Lemma 6). The method requires a simultaneous solution of certain linearized multipoint boundary value problems.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2004, 14, 4; 447-454
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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