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math.NA2026
A fully globalized solver for discretized inverse elliptic coefficient problems with exact data
Bastian Harrach
We consider finite-dimensional nonlinear inverse problems arising from finite element discretizations of elliptic inverse coefficient problems such as the Calderón problem with fin…
math.NA2026
Monotonicity-based regularization of inverse medium scattering for shape reconstruction
Roland Griesmaier, Bastian Harrach, Jianli Xiang
We consider the scattering of time-harmonic plane waves by a compactly supported inhomogeneous scattering obstacle governed by the Helmholtz equation. Given far field observations…