Adaptive spectral inversion for inverse medium problems

YG Gleichmann, MJ Grote - Inverse Problems, 2023 - iopscience.iop.org
A nonlinear optimization method is proposed for the solution of inverse medium problems
with spatially varying properties. To avoid the prohibitively large number of unknown control …

Error estimates for adaptive spectral decompositions

DH Baffet, YG Gleichmann, MJ Grote - Journal of Scientific Computing, 2022 - Springer
Adaptive spectral (AS) decompositions associated with a piecewise constant function, u,
yield small subspaces where the characteristic functions comprising u are well …

Adaptive spectral decompositions for inverse medium problems

DH Baffet, MJ Grote, JH Tang - Inverse Problems, 2021 - iopscience.iop.org
Inverse medium problems involve the reconstruction of a spatially varying unknown medium
from available observations by exploring a restricted search space of possible solutions …

Far field operator splitting and completion in inverse medium scattering

R Griesmaier, L Schätzle - Inverse Problems, 2024 - iopscience.iop.org
We study scattering of time-harmonic plane waves by compactly supported inhomogeneous
objects in a homogeneous background medium. The far field operator associated to a fixed …

TRAC method in dissipative media—a first analysis in frequency domain and homogeneous media

M Graff, M Cullen - Inverse Problems, 2023 - iopscience.iop.org
We propose to explore the time-reversed absorbing condition (TRAC) method in the case of
dissipative homogeneous media. In previous work, the TRAC method was derived from the …

TRAC method in dissipative media-Part I: Analysis in 1D and frequency domain

M Graff, M Cullen - 2022 - hal.science
In this paper, we propose to explore the Time-Reversed Absorbing Condition (TRAC)
method in the case of dissipative homogeneous media. In previous work, the TRAC method …