38 citations · 39 across the 4 of their papers we have counts for
5 papers
An Adaptive Finite Element Method in Quantitative Reconstruction of Small Inclusions from Limited Observations
John Bondestam Malmberg, Larisa Beilina
We consider a coefficient inverse problem for the dielectric permittivity in Maxwell's equations, with data consisting of boundary measurements of one or two backscattered or trans…
Numerical studies of an adaptive finite element method applied to the reconstruction of shapes of buried objects from experimental data
Larisa Beilina, Nguyen Trung Thành, Michael V. Klibanov +1
We perform extended studies of an adaptive finite element method applied to the reconstruction of shapes of buried objects from experimental backscattering data. We use experimenta…
A posteriori error estimation in a finite element method for reconstruction of dielectric permittivity
John Bondestam Malmberg
We present a posteriori error estimates for finite element approximations in a minimization approach to a coefficient inverse problem. The problem is that of reconstructing the die…
Globally convergent and adaptive finite element methods in imaging of buried objects from experimental backscattering radar measurements
Larisa Beilina, Nguyen Trung Thành, Michael V. Klibanov +1
We consider a two-stage numerical procedure for imaging of objects buried in dry sand using time-dependent backscattering experimental radar measurements. These measurements are ge…
Reconstruction of shapes and refractive indices from backscattering experimental data using the adaptivity
Larisa Beilina, Nguyen Trung Thành, Michael V. Klibanov +1
We consider the inverse problem of the reconstruction of the spatially distributed dielectric constant , whi…