Two-dimensional elastic Herglotz functions and their applications in inverse scattering

DOI10.1023/A:1026059224433zbMath1050.74007MaRDI QIDQ1431573

Vassilios Sevroglou, George Pelekanos

Publication date: 11 June 2004

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

Navier eigenvectorsspectral Navier equation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Scattering theory for PDEs (35P25) Inverse problems for waves in solid mechanics (74J25)

Related Items (10)

Scattering relations for point-generated dyadic fields in two-dimensional linear elasticity ⋮ Two-dimensional elastic scattering coefficients and enhancement of nearly elastic cloaking ⋮ Spectral properties of an acoustic-elastic transmission eigenvalue problem with applications ⋮ A numerical reconstruction method in inverse elastic scattering ⋮ Reproducing kernel for elastic Herglotz functions ⋮ The (F*F)^1/4-method for the transmission problem in two-dimensional linear elasticity ⋮ On generalized Holmgren's principle to the Lamé operator with applications to inverse elastic problems ⋮ A numerical comparison of different qualitative algorithms for solving 2D inverse elastic scattering problems ⋮ Further results on generalized Holmgren's principle to the Lamé operator and applications ⋮ Shape reconstruction of a 2D-elastic penetrable object via the L-curve method

This page was built for publication: Two-dimensional elastic Herglotz functions and their applications in inverse scattering