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Reconstruction of inclusions in an elastic body |
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| Authors: | Gunther Uhlmann Jenn-Nan Wang Chin-Tien Wu |
| Institution: | aDepartment of Mathematics, University of Washington, Box 354305, Seattle, WA 98195-4350, USA;bDepartment of Mathematics, Taida Institute for Mathematical Sciences, and NCTS (Taipei), National Taiwan University, Taipei 106, Taiwan;cDepartment of Applied Mathematics, National Chiao Tung University, Hsinchu 300, Taiwan |
| Abstract: | 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. |
| Keywords: | Reconstruction of inclusions Complex geometrical optics Numerical algorithms of reconstruction |
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