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Reconstruction of inclusions in an elastic body. (English) Zbl 1173.35123

Summary: We consider the reconstruction of elastic inclusions embedded inside of a planar region, bounded or unbounded, with isotropic inhomogeneous elastic parameters by measuring displacements and tractions at the boundary. We probe the medium with complex geometrical optics solutions having polynomial-type phase functions. Using these solutions we develop an algorithm to reconstruct the exact shape of a large class of inclusions including star-shaped domains and we implement numerically this algorithm for some examples.

MSC:

35R30 Inverse problems for PDEs
74B05 Classical linear elasticity
78A05 Geometric optics
65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs
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