Autor: Sokolowski, S - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Shape sensitivity analysis of eigenvalues revisited
Autorzy:: Nazarov, S. A.
Sokolowski, J.
Powiązania:: https://bibliotekanauki.pl/articles/970311.pdf
Data publikacji:: 2008
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: spectral problem
singular perturbation
eigenvalues of Laplacian
shape sensitivity analysis
topology optimization
Opis:: The paper can be considered as a complement to previous papers of the authors. An insight into applied asymptotic analysis of boundary value problems in singularly perturbed domains is presented. As a result, the asymptotic expansions of eigenvalues are obtained and discussed in terms of integral attributes of the geometrical perturbations including the virtual mass tensor, polarization tensor etc. The results are presented in such a way that can be easily employed in numerical methods for shape optimization and inverse problems.
Źródło:: Control and Cybernetics; 2008, 37, 4; 999-1012
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

Skocz do pozycji: 3.

Tytuł:: Incompressible Maxwell-Boussinesq approximation: Existence, uniqueness and shape sensitivity
Autorzy:: Consiglieri, L.
Necasova, S.
Sokolowski, J.
Powiązania:: https://bibliotekanauki.pl/articles/970891.pdf
Data publikacji:: 2009
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: magnetohydrodynamic flows
shape sensivity
Opis:: We prove the existence and uniqueness of weak solutions to the variational formulation of the Maxwell-Boussinesq approximation problem. Some further regularity in W1,2+δ, δ > 0, is obtained for the weak solutions. The shape sensitivity analysis by the boundary variations technique is performed for the weak solutions. As a result, the existence of the strong material derivatives for the weak solutions of the problem is shown. The result can be used to establish the shape differentiability for a broad class of shape functionals for the models of Fourier-Navier-Stokes flows under the electromagnetic field.
Źródło:: Control and Cybernetics; 2009, 38, 4A; 1193-1215
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

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

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