4 papers · 1 filter
Reconstruction of shear modulus inclusions in elastostatics via divergence-free localization
Henrik Garde, Nuutti Hyvönen, Valter Pohjola
We formulate an improved version of the monotonicity method for shape reconstruction in the inverse problem of linear elastostatics. We show that this method can reconstruct inclus…
Infinite-dimensional Lipschitz stability in the Calderón problem and general Zernike bases
Henrik Garde, Markus Hirvensalo, Nuutti Hyvönen
Calderón's inverse conductivity problem has, so far, only been subject to conditional logarithmic stability for infinite-dimensional classes of conductivities and to Lipschitz sta…
Continuity of the linearized forward map of electrical impedance tomography from square-integrable perturbations to Hilbert-Schmidt operators
Joanna Bisch, Markus Hirvensalo, Nuutti Hyvönen
This work considers the Fréchet derivative of the idealized forward map of two-dimensional electrical impedance tomography, i.e., the linear operator that maps a perturbation of t…
Linearised Calderón problem: Reconstruction and Lipschitz stability for infinite-dimensional spaces of unbounded perturbations
Henrik Garde, Nuutti Hyvönen
We investigate a linearised Calderón problem in a two-dimensional bounded simply connected domain . After extending the linearised problem for perturbatio…