Optimization of scattering resonances

DOI10.1007/s00158-007-0201-8zbMath1273.74045OpenAlexW2104763307WikidataQ60961868 ScholiaQ60961868MaRDI QIDQ373977

Pascal Heider, D. Berebichez, Robert V. Kohn, Michael I. Weinstein

Publication date: 25 October 2013

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-007-0201-8

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Initial-boundary value problems for second-order hyperbolic equations (35L20) Crystalline structure (74E15) Micromechanics of solids (74M25) Diffraction, scattering (78A45)

Related Items (10)

Nonlinear bang-bang eigenproblems and optimization of resonances in layered cavities ⋮ Optimization of spectral functions of Dirichlet-Laplacian eigenvalues ⋮ Asymptotic analysis of resonances of small volume high contrast linear and nonlinear scatterers ⋮ Subwavelength Resonances in One-Dimensional High-Contrast Acoustic Media ⋮ Perturbation of the scattering resonances of an open cavity by small particles. I: The transverse magnetic polarization case ⋮ A perturbation approach for near bound-state resonances of photonic crystal with defect ⋮ Optimization of quasi-normal eigenvalues for Krein-Nudelman strings ⋮ Pareto optimal structures producing resonances of minimal decay under \(L^1\)-type constraints ⋮ Bragg structure and the first spectral gap ⋮ Pareto optimization of resonances and minimum-time control

Cites Work

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• Optimal Localization of Eigenfunctions in an Inhomogeneous Medium
• Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum

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