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math.AP2021
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,…
math.AP2021
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…
math.AP2020★ 2 cited
Duality between range and no-response tests and its application for inverse problems
Yi-Hsuan Lin, Gen Nakamura, Roland Potthast +1
In this paper we will show the duality between the range test (RT) and no-response test (NRT) for the inverse boundary value problem for the Laplace equation in $Ω\setminus\overlin…