Inverse scattering by penetrable objects in two-dimensional elastodynamics

DOI10.1016/S0377-0427(02)00742-2zbMath1044.74023MaRDI QIDQ1861319

George Pelekanos, Vassilios Sevroglou

Publication date: 16 March 2003

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

zbMATH Keywords

Green functioninterior transmission problemsampling method

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Inverse problems for waves in solid mechanics (74J25)

Related Items (9)

Point-Source Elastic Scattering by a Nested Piecewise Homogeneous Obstacle in an Elastic Environment ⋮ Scattering relations for point-generated dyadic fields in two-dimensional linear elasticity ⋮ The inverse scattering problem by an elastic inclusion ⋮ The linear sampling method for penetrable cylinder with inclusions for obliquely incident polarized electromagnetic waves ⋮ The direct and inverse problem for an inclusion within a heat-conducting layered medium ⋮ A numerical reconstruction method in inverse elastic scattering ⋮ A Mixed Impedance Scattering Problem for Partially Coated Obstacles in Two-Dimensional Linear Elasticity ⋮ A numerical comparison of different qualitative algorithms for solving 2D inverse elastic scattering problems ⋮ Shape reconstruction of a 2D-elastic penetrable object via the L-curve method

Cites Work

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• A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
• Factorization of the far-field operator for the inhomogeneous medium case and an application in inverse scattering theory
• A simple method using Morozov's discrepancy principle for solving inverse scattering problems
• The linear sampling method for the transmission problem in three-dimensional linear elasticity
• A simple method for solving inverse scattering problems in the resonance region
• Far-Field Patterns for Acoustic Waves in an Inhomogeneous Medium
• Inverse acoustic and electromagnetic scattering theory

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