- 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