Reconstruction algorithms for an inverse medium problem

Autor: Ji-Chuan Liu
Rok vydání: 2018
Předmět:
Zdroj: Applications of Mathematics. 63:195-216
DOI: 10.21136/am.2018.0114-17
Popis: 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.
Databáze: OpenAIRE