Autor: Sokołowski, J. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

Tytuł:: Topological sensitivity analysis for elliptic problems on graphs
Autorzy:: Leugering, G.
Sokolowski, J.
Powiązania:: https://bibliotekanauki.pl/articles/970307.pdf
Data publikacji:: 2008
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: differential equations on metric graphs
obstacles
topology optimization
asymptotic analysis
Opis:: We consider elliptic problems on graphs under given loads and bilateral contact conditions. We ask the question: which graph is best suited to sustain the loads and the constraints. More precisely, given a cost function we may look at a multiple node of the graph with edge degree q and ask as to whether that node should be resolved into a number of nodes of edge degree less than q, in order to decrease the cost. With this question in mind, we are looking into the sensitivity analysis of a graph carrying a second order elliptic equation with respect to changing its topology by releasing nodes with high edge degree or including an edge. With the machinery at hand developed here, we are in the position to define the topological gradient of an elliptic problem on a graph.
Źródło:: Control and Cybernetics; 2008, 37, 4; 971-997
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

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

Informacja