Počet záznamů: 1
A phase-field approach to shape and topology optimization of acoustic waves in dissipative media
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SYSNO ASEP 0562002 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název A phase-field approach to shape and topology optimization of acoustic waves in dissipative media Tvůrce(i) Garcke, H. (DE)
Mitra, Sourav (MU-W) SAI, ORCID
Nikolić, V. (NL)Zdroj.dok. SIAM Journal on Control and Optimization. - : SIAM Society for Industrial and Applied Mathematics - ISSN 0363-0129
Roč. 60, č. 4 (2022), s. 2297-2319Poč.str. 23 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova nonlinear acoustics ; optimality conditions ; phase-field method ; shape and topology optimization Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics Způsob publikování Omezený přístup Institucionální podpora MU-W - RVO:67985840 UT WOS 000862275500010 EID SCOPUS 85137738013 DOI 10.1137/21M1449294 Anotace We investigate the problem of finding the optimal shape and topology of a system of acoustic lenses in a dissipative medium. The sound propagation is governed by a general semilinear strongly damped wave equation. We introduce a phase-field formulation of this problem through diffuse interfaces between the lenses and the surrounding fluid. The resulting formulation is shown to be well-posed, and we prove that the corresponding optimization problem has a minimizer. By analyzing properties of the reduced objective functional and well-posedness of the adjoint problem, we rigorously derive first-order optimality conditions for this problem. Additionally, we consider the Γ-limit of the reduced objective functional and in this way establish a relation between the diffuse interface problem and a perimeter-regularized sharp interface shape optimization problem. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2023 Elektronická adresa https://doi.org/10.1137/21M1449294
Počet záznamů: 1