In thie paper we consider the following multiphase shape optimization problem min {∑i=1h λ1 (Ωi) + α|Ωi| : Ωi open, Ωi ⊂ D, Ωi ∩ Ωj = φ}, where α > 0 is a given constant and D ⊂ ℝ2 is a bounded open set with Lipschitz boundary. We give some new results concerning the qualitative properties of the optimal sets and the regularity of the corresponding eigenfunctions. We also provide numerical results for the optimal partitions.
A multiphase shape optimization problem for eigenvalues: Qualitative study and numerical results
Velichkov B.
2016-01-01
Abstract
In thie paper we consider the following multiphase shape optimization problem min {∑i=1h λ1 (Ωi) + α|Ωi| : Ωi open, Ωi ⊂ D, Ωi ∩ Ωj = φ}, where α > 0 is a given constant and D ⊂ ℝ2 is a bounded open set with Lipschitz boundary. We give some new results concerning the qualitative properties of the optimal sets and the regularity of the corresponding eigenfunctions. We also provide numerical results for the optimal partitions.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
1060713 Version of record.pdf
accesso aperto
Tipologia:
Versione finale editoriale
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
898.78 kB
Formato
Adobe PDF
|
898.78 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.