IMPEDANCE EIGENVALUES IN LINEAR ELASTICITY
SIAM JOURNAL ON APPLIED MATHEMATICS(2021)
摘要
This paper is devoted to studying impedance eigenvalues (that is, eigenvalues of a particular Dirichlet-to-Neumann map) for the time harmonic linear elastic wave problem and their potential use as target signatures for fluid-solid interaction problems. We first consider several possible families of eigenvalues of the elasticity problem, focusing on certain impedance eigenvalues that are an analogue of Steklov eigenvalues. We show that one of these families arises naturally in inverse scattering. We also analyze their approximation from far field measurements of the scattered pressure field in the fluid and illustrate several alternative methods of approximation in the case of an isotropic elastic disk.
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关键词
 , fluid-solid interaction, inverse scattering, Dirichlet-to-Neumann map, linear elas-ticity, impedance eigenvalues
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