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Pregled bibliografske jedinice broj: 1102771

Second order shape derivatives - numerical applications for optimal design problems

Kunštek, Petar; Vrdoljak, Marko
Second order shape derivatives - numerical applications for optimal design problems // The Tenth Conference on Applied Mathematics and Scientific Computing- ApplMath20, Book of abstracts
Brijuni, Hrvatska, 2020. str. 28-28 (predavanje, nije recenziran, neobjavljeni rad, znanstveni)

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Naslov
Second order shape derivatives - numerical applications for optimal design problems

Autori
Kunštek, Petar ; Vrdoljak, Marko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Izvornik
The Tenth Conference on Applied Mathematics and Scientific Computing- ApplMath20, Book of abstracts / - , 2020, 28-28

Skup
10th Conference on Applied Mathematics and Scientific Computing (ApplMath20)

Mjesto i datum
Brijuni, Hrvatska, 14.09.2020. - 18.09.2020

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
optimal design ; homogenization ; shape derivative ; gradient method

Sažetak
We consider optimal design problems for stationary diffusion equation, seeking for an arrangement of two isotropic materials, with prescribed amounts, which maximizes a given functional. We presented some classes of optimal design problems on an annulus with classical solutions. First and second order shape derivatives for the considered problem are derived for numerical implementations. Descent methods based on distributed first and second order shape derivatives are implemented and tested. We observe a stable convergence of both descent methods with a novel Newton-like method converging in half as many steps.

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

Profili:

Avatar Url Petar Kunštek (autor)

Avatar Url Marko Vrdoljak (autor)

applmath.math.pmf.unizg.hr

Citiraj ovu publikaciju:

Kunštek, Petar; Vrdoljak, Marko
Second order shape derivatives - numerical applications for optimal design problems // The Tenth Conference on Applied Mathematics and Scientific Computing- ApplMath20, Book of abstracts
Brijuni, Hrvatska, 2020. str. 28-28 (predavanje, nije recenziran, neobjavljeni rad, znanstveni)
Kunštek, P. & Vrdoljak, M. (2020) Second order shape derivatives - numerical applications for optimal design problems. U: The Tenth Conference on Applied Mathematics and Scientific Computing- ApplMath20, Book of abstracts.
@article{article, author = {Kun\v{s}tek, Petar and Vrdoljak, Marko}, year = {2020}, pages = {28-28}, keywords = {optimal design, homogenization, shape derivative, gradient method}, title = {Second order shape derivatives - numerical applications for optimal design problems}, keyword = {optimal design, homogenization, shape derivative, gradient method}, publisherplace = {Brijuni, Hrvatska} }
@article{article, author = {Kun\v{s}tek, Petar and Vrdoljak, Marko}, year = {2020}, pages = {28-28}, keywords = {optimal design, homogenization, shape derivative, gradient method}, title = {Second order shape derivatives - numerical applications for optimal design problems}, keyword = {optimal design, homogenization, shape derivative, gradient method}, publisherplace = {Brijuni, Hrvatska} }

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