Optimal Absorption of Acoustic Waves by a Boundary

نویسندگان

چکیده

In the aim to find simplest and most efficient shape of a noise absorbing wall dissipate acoustical energy sound wave, we consider frequency model described by Helmholtz equation with damping on boundary. The well-posedness is shown in class domains $d$-set boundaries ($N-1\le d<N$). We introduce admissible Lipschitz boundaries, which an optimal exists following sense: prove existence Radon measure this shape, greater than or equal usual Lebesgue measure, for corresponding solution problem realizes infimum acoustic defined If coincides minimum energy. For fixed porous material, considered as absorbent, derive parameters its boundary from time-dependent damped wave (damping volume).

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ژورنال

عنوان ژورنال: Siam Journal on Control and Optimization

سال: 2021

ISSN: ['0363-0129', '1095-7138']

DOI: https://doi.org/10.1137/20m1327239