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Wyszukujesz frazę "Sokołowski, J/" wg kryterium: Autor

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    Wyświetlanie 1-9 z 9
    Tytuł:
    Shape sensitivity analysis of time-dependent flows of incompressible non-Newtonian fluids
    Autorzy:
    Sokołowski, J.
    Stebel, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/206105.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    shape optimization
    shape gradient
    incompressible viscous fluid
    Navier-Stokes equations
    Opis:
    We study the shape differentiability of a cost function for the flow of an incompressible viscous fluid of power-law type. The fluid is confined to a bounded planar domain surrounding an obstacle. For smooth perturbations of the shape of the obstacle we express the shape gradient of the cost function which can be subsequently used to improve the initial design.
    Źródło:
    Control and Cybernetics; 2011, 40, 4; 1077-1097
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Shape and topology optimization of distributed parameter systems
    Autorzy:
    Sokołowski, J.
    Żochowski, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/206802.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    shape optimization
    topological derivative
    asymptotic analysis
    singularly perturbed geometrical domains
    asymptotic expansion of energ functional
    Opis:
    The energy functional for an elliptic boundary value problem in two spatial dimensions is considered. The variations of shape functional resulting from the small shape-topological domain perturbations with the holes and inclusions in elastic body are determined. The exact representation of solutions to the boundary value problem is exploited for the purposes of asymptotic analysis. To this end the perturbed solutions of the boundary value problem are Expressem as the minimizers of perturbed energy functionals. The proposed method of asymptotic analysis results in the double asymptotic expansions, with respect to the size of a hole and to the contrast parameter of an inclusion with respect to the matrix, of solutions to the boundary value problems as well as of the associated energy functional. The shape sensitivity analysis of the energy functional with respekt of the boundary variations of an inclusion is performed. The further asymptotic analysis allows for the limit passage with the size of inclusion to zero. In this way the topological derivative of the energy functional is obtained. The proposed analysis can be used in the shape and topology optimum design for elastic bodies governed by the stationary as well as by the time dependent elasticity boundary value problems in the framework of selfadjoint extensions of elliptic operators.
    Źródło:
    Control and Cybernetics; 2013, 42, 1; 217-226
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Mathematical challenges in shape optimization
    Autorzy:
    Henrot, A.
    Sokołowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/970146.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optymalizacja kształtu
    optymalizacja topologiczna
    zagadnienie znajdowania wartości własnych
    równanie Naviera-Stokesa
    Navier-Stokes equations
    shape optimization
    topology optimization
    eingenvalue problem
    Opis:
    Activities of the CNRS programme GDR shape optimization are described. Recent developments in shape optimization for eigenvalues and drag minimization are presented.
    Źródło:
    Control and Cybernetics; 2005, 34, 1; 37-57
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Topological derivative for optimal control problems
    Autorzy:
    Sokołowski, J.
    Żochowski, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/206790.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sterowanie optymalne
    asymptotic expansion
    control problems
    shape derivative
    shape optimization
    topological derivative
    Opis:
    The topological derivative is introduced for the extremal values of cost functionals for control problems. The optimal control problem considered in the paper is defined for the elliptic equation which models the deflection of an elastic membrane. The derivative measures the sensitivity of the optimal value of the cost with respect to changes in topology. A change in topology means removing a small ball from the interior of the domain of integration. The topological derivative can be used for obtaining the numerical solutions of the shape optimization problems.
    Źródło:
    Control and Cybernetics; 1999, 28, 3; 611-625
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Self-adjoint extensions of differential operators and exterior topological derivatives in shape optimization
    Autorzy:
    Nazarov, S. A.
    Sokołowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/970558.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    rozszerzenie samosprzężone
    optymalizacja kształtu
    zewnętrzna pochodna topologiczna
    self-adjoint extension
    shape optimization
    exterior topological derivative
    ligament
    Opis:
    Self-adjoint extensions are constructed for a family of boundary value problems in domains with a thin ligament and an asymptotic analysis of a Lq-continuous functional is performed. The results can be used in numerical methods of shape and topology optimization of integral functionals for elliptic equations. At some stage of optimization process the singular perturbation of geometrical domain by an addition of thin ligament can be replaced by its approximation denned for the appropriate self-adjoint extension of the elliptic operator. In this way the topology variation of current geometrical domain can be determined and used e.g., in the level-set type methods of shape optimization.
    Źródło:
    Control and Cybernetics; 2005, 34, 3; 903-925
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Topological sensitivity analysis for a coupled nonlinear problem with an obstacle
    Autorzy:
    Abdelbari, M.
    Nachi, K.
    Sokolowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/205653.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    topological derivative
    shape optimization
    SteklovPoincaroperator
    Signorini problem
    variational inequality
    Helmholtz equation
    coupled partial differential equations
    conical differential
    asymptotic expansions
    singular perturbations of geometrical Romains
    truncated domain
    Opis:
    The Topological Derivative has been recognized as a powerful tool in obtaining the optimal topology for several kinds of engineering problems. This derivative provides the sensitivity of the cost functional for a boundary value problem for nucleation of a small hole or a small inclusion at a given point of the domain of integration. In this paper, we present a topological asymptotic analysis with respect to the size of singular domain perturbation for a coupled nonlinear PDEs system with an obstacle on the boundary. The domain decomposition method, referring to the SteklovPoincar´epseudo-differential operator, is employed for the asymptotic study of boundary value problem with respect to the size of singular domain perturbation. The method is based on the observation that the known expansion of the energy functional in the ring coincides with the expansion of the Steklov-Poincar´e operator on the boundary of the truncated domain with respekt to the small parameter, which measures the size of perturbation. In this way, the singular perturbation of the domain is reduced to the regular perturbation of the Steklov-Poincar´e map ping for the ring. The topological derivative for a tracking type shape functional is evaluated so as to obtain the useful formula for application in the numerical methods of shape and topology optimization.
    Źródło:
    Control and Cybernetics; 2017, 46, 1; 5-25
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Shape differentiability of the Neumann problem of the Laplace equation in the half-space
    Autorzy:
    Amrouche, C.
    Necasova, S.
    Sokołowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/970287.pdf
    Data publikacji:
    2008
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    shape optimization
    Neumann problem
    unbounded domain
    material derivative
    Opis:
    We deal with the existence of the material derivative of the Laplace equation with the Neumann boundary condition in the half space. We consider two different perturbations of domains to get the existence of weak Gateaux material derivative and the existence of Fréchet material derivatives.
    Źródło:
    Control and Cybernetics; 2008, 37, 4; 747-769
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A level set method in shape and topology optimization for variational inequalities
    Autorzy:
    Fulmański, P.
    Laurain, A.
    Scheid, J. F.
    Sokołowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/929713.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja kształtu
    pochodna topologiczna
    nierówność wariacyjna
    analiza asymptotyczna
    shape optimization
    topological derivative
    level set method
    variational inequality
    asymptotic analysis
    Opis:
    The level set method is used for shape optimization of the energy functional for the Signorini problem. The boundary variations technique is used in order to derive the shape gradients of the energy functional. The conical differentiability of solutions with respect to the boundary variations is exploited. The topology modifications during the optimization process are identified by means of an asymptotic analysis. The topological derivatives of the energy shape functional are employed for the topology variations in the form of small holes. The derivation of topological derivatives is performed within the framework proposed in (Sokołowski and Żochowski, 2003). Numerical results confirm that the method is efficient and gives better results compared with the classical shape optimization techniques.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 3; 413-430
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Topological derivatives for semilinear elliptic equations
    Autorzy:
    Iguernane, M.
    Nazarov, S. A.
    Roche, J. R.
    Sokolowski, J.
    Szulc, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/907655.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja kształtu
    pochodna topologiczna
    nierówność wariacyjna
    analiza asymptotyczna
    shape optimization
    topological derivative
    level set method
    variational inequality
    asymptotic analysis
    Opis:
    The form of topological derivatives for an integral shape functional is derived for a class of semilinear elliptic equations. The convergence of finite element approximation for the topological derivatives is shown and the error estimates in the L [...] norm are obtained. The results of numerical experiments which confirm the theoretical convergence rate are presented.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 191-205
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-9 z 9

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