Sensitivity analysis for shape optimization of a focusing acoustic lens in lithotripsy

DOI10.1007/s00245-016-9340-xzbMath1378.49051arXiv1506.02781OpenAlexW2964189407MaRDI QIDQ1678503

Vanja Nikolić, Barbara Kaltenbacher

Publication date: 17 November 2017

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.02781

zbMATH Keywords

nonlinear acousticsshape derivativeWestervelt's equation

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Biomedical imaging and signal processing (92C55) Medical applications (general) (92C50) Variational principles of physics (49S05) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items (8)

The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation ⋮ Optimal feedback arising in a third-order dynamics with boundary controls and infinite horizon ⋮ Analysis of general shape optimization problems in nonlinear acoustics ⋮ A Phase-Field Approach to Shape and Topology Optimization of Acoustic Waves in Dissipative Media ⋮ A note on the Moore-Gibson-Thompson equation with memory of type II ⋮ Feedback control of the acoustic pressure in ultrasonic wave propagation ⋮ Isogeometric shape optimization for nonlinear ultrasound focusing ⋮ Mathematics of nonlinear acoustics

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