Characterization of the Fréchet derivative of the elasto-acoustic field with respect to Lipschitz domains

DOI10.1515/JIP-2012-0098zbMath1282.65137OpenAlexW2024548809MaRDI QIDQ5395963

Rabia Djellouli, Elodie Estecahandy, Hélène Barucq

Publication date: 5 February 2014

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jip-2012-0098

zbMATH Keywords

elastodynamicsinverse problemsacousticsFréchet derivativesshape derivativeinverse elasto-acoustic scattering problems

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (5)

Characterization of partial derivatives with respect to material parameters in a fluid-solid interaction problem ⋮ Variational approach to shape derivatives for elasto-acoustic coupled scattering fields and an application with random interfaces ⋮ Fréchet differentiability of the elasto-acoustic scattered field with respect to Lipschitz domains ⋮ Mathematical Determination of the Fréchet Derivative with Respect to the Domain for a Fluid-Structure Scattering Problem: Case of Polygonal-Shaped Domains ⋮ A high-order discontinuous Galerkin approach to the elasto-acoustic problem

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