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Inverse medium scattering problems with Kalman filter techniques
Takashi Furuya, Roland Potthast
We study the inverse medium scattering problem to reconstruct the unknown inhomogeneous medium from the far-field patterns of scattered waves. The inverse scattering problem is gen…
Local recovery of a piecewise constant anisotropic conductivity in EIT on domains with exposed corners
Maarten V. de Hoop, Takashi Furuya, Ching-Lung Lin +2
We study the local recovery of an unknown piecewise constant anisotropic conductivity in EIT (electric impedance tomography) on certain bounded Lipschitz domains in $\mathbb{R}…
Inverse medium scattering problems with Kalman filter techniques II. Nonlinear case
Takashi Furuya, Roland Potthast
In this paper, we study the inverse medium scattering problem to reconstruct unknown inhomogeneous medium from far field patterns of scattered waves. In the first part of our work,…
Inverse medium scattering problems with Kalman filter techniques I. Linear case
Takashi Furuya, Roland Potthast
In this paper, we study the inverse acoustic medium scattering problem to reconstruct the unknown inhomogeneous medium from far field patterns of scattered waves. We propose the re…