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- Title
Reconstruction Algorithms for an Inverse Medium Problem.
- Authors
Liu, Ji-Chuan
- Abstract
In this paper, we consider a two-dimensional inverse medium problem from noisy observation data. We propose effective reconstruction algorithms to detect the num-ber, the location and the size of the piecewise constant medium within a body, and then we try to recover the unknown shape of inhomogeneous media. This problem is nonlinear and ill-posed, thus we should consider stable and elegant approaches in order to improve the corresponding approximation. We give several examples to show the viability of our proposed algorithms.
- Subjects
INVERSE problems; NONLINEAR systems; INHOMOGENEOUS materials; ALGORITHMS; MARQUARDT algorithm
- Publication
Applications of Mathematics, 2018, Vol 63, Issue 2, p195
- ISSN
0862-7940
- Publication type
Article
- DOI
10.21136/AM.2018.0114-17