Pregled bibliografske jedinice broj: 1056073
Convergence of the optimality criteria method for multiple state optimal design problems
Convergence of the optimality criteria method for multiple state optimal design problems // Computers & mathematics with applications, 79 (2020), 5; 1382-1392 doi:10.1016/j.camwa.2019.09.002 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1056073 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Convergence of the optimality criteria method
for
multiple state optimal design problems
Autori
Burazin, Krešimir ; Crnjac, Ivana
Izvornik
Computers & mathematics with applications (0898-1221) 79
(2020), 5;
1382-1392
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Stationary diffusion ; Optimal design ; Optimality criteria method ; Convergence
Sažetak
We consider multiple state optimal design problems with two isotropic materials from the conductivity point of view. Since the classical solutions of these problems usually do not exist, a proper relaxation of the original problem is obtained, using the homogenization method. In [1] we derive necessary conditions of optimality of the relaxed problem, which enables us to implement a new variant of the optimality criteria method. It appears that this variant gives converging sequence of designs for the energy minimization problems. In this work we prove convergence of the method for energy minimization problems in the spherically symmetric case and in a case when the number of states is less than the space dimension.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-8904 - Homogenizacija, redukcija dimenzije i strukturalna optimizacija u mehanici kontinuuma (Homdirestroptcm) (Velčić, Igor, HRZZ ) ( CroRIS)
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
