Pregled bibliografske jedinice broj: 1093433
Classical optimal designs on annulus and numerical approximations
Classical optimal designs on annulus and numerical approximations // Journal of Differential Equations, 268 (2020), 11; 6920-6939 doi:10.1016/j.jde.2019.11.077 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1093433 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Classical optimal designs on annulus and numerical approximations
Autori
Kunštek, Petar ; Vrdoljak, Marko
Izvornik
Journal of Differential Equations (0022-0396) 268
(2020), 11;
6920-6939
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Optimal design ; Homogenization ; Optimality conditions ; Shape derivative
Sažetak
We consider optimal design problems for stationary diffusion equation, seeking for the arrangement of two isotropic materials, with prescribed amounts, which maximizes the energy functional. The aim is to present some classes of problems on an annulus with classical solutions. The first class is a single state equation problem with a constant right-hand side and homogenous Dirichlet boundary condition. By analyzing the optimality conditions, we are able to show that there exists a unique (classical) solution. We prove that, depending on the amounts of given materials, only two optimal configurations in both two- and three-dimensional case are possible. The second class of problems deals with a two-state optimal design problem. A numerical method based on shape derivative is presented, showing good results when applied to described problems with classical solutions on annulus.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-3706 - Analiza problema interakcije fluida i strukture i primjene (FSIApp) (Muha, Boris, HRZZ - 2018-01) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
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
