- 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