8 papers
Norm resolvent convergence of discretized Fourier multipliers
Horia Cornean, Henrik Garde, Arne Jensen
We prove norm estimates for the difference of resolvents of operators and their discrete counterparts, embedded into the continuum using biorthogonal Riesz sequences. The estimates…
Mimicking relative continuum measurements by electrode data in two-dimensional electrical impedance tomography
Henrik Garde, Nuutti Hyvönen
This paper introduces a constructive method for approximating relative continuum measurements in two-dimensional electrical impedance tomography based on data originating from eith…
Monotonicity-based reconstruction of extreme inclusions in electrical impedance tomography
Valentina Candiani, Jérémi Dardé, Henrik Garde +1
The monotonicity-based approach has become one of the fundamental methods for reconstructing inclusions in the inverse problem of electrical impedance tomography. Thus far the meth…
Optimal depth-dependent distinguishability bounds for electrical impedance tomography in arbitrary dimension
Henrik Garde, Nuutti Hyvönen
The inverse problem of electrical impedance tomography is severely ill-posed. In particular, the resolution of images produced by impedance tomography deteriorates as the distance…
Reconstruction of piecewise constant layered conductivities in electrical impedance tomography
Henrik Garde
This work presents a new constructive uniqueness proof for Calderón's inverse problem of electrical impedance tomography, subject to local Cauchy data, for a large class of piecewi…
On regularity of the logarithmic forward map of electrical impedance tomography
Henrik Garde, Nuutti Hyvönen, Topi Kuutela
This work considers properties of the logarithm of the Neumann-to-Dirichlet boundary map for the conductivity equation in a Lipschitz domain. It is shown that the mapping from the…