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math.AP2017★ 1 cited
On the propagation of singularities for a class of linearised hybrid inverse problems
Guillaume Bal, Kristoffer Hoffmann, Kim Knudsen
For a general formulation of linearised hybrid inverse problems in impedance tomography, the qualitative properties of the solutions are analysed. Using an appropriate scalar pseud…
math.AP2010★ 1 cited
Direct numerical reconstruction of conductivities in three dimensions
Jutta Bikowski, Kim Knudsen, Jennifer Mueller
A direct three dimensional EIT reconstruction algorithm based on complex geometrical optics solutions and a nonlinear scattering transform is presented and implemented for spherica…