19 citations · 39 across the 8 of their papers we have counts for
6 papers · 1 filter
An inverse boundary value problem for the -Laplacian
Antti Hannukainen, Nuutti Hyvönen, Lauri Mustonen
This work tackles an inverse boundary value problem for a -Laplace type partial differential equation parametrized by a smoothening parameter . The aim is to numericall…
Generalized linearization techniques in electrical impedance tomography
Nuutti Hyvönen, Lauri Mustonen
Electrical impedance tomography aims at reconstructing the interior electrical conductivity from surface measurements of currents and voltages. As the current-voltage pairs depend…
Smoothened complete electrode model
Nuutti Hyvönen, Lauri Mustonen
This work reformulates the complete electrode model of electrical impedance tomography in order to enable more efficient numerical solution. The model traditionally assumes constan…
Thermal tomography with unknown boundary
Nuutti Hyvönen, Lauri Mustonen
Thermal tomography is an imaging technique for deducing information about the internal structure of a physical body from temperature measurements on its boundary. This work conside…
Polynomial collocation for handling an inaccurately known measurement configuration in electrical impedance tomography
Nuutti Hyvönen, Vesa Kaarnioja, Lauri Mustonen +1
The objective of electrical impedance tomography is to reconstruct the internal conductivity of a physical body based on measurements of current and potential at a finite number of…
Numerical study of a parametric parabolic equation and a related inverse boundary value problem
Lauri Mustonen
We consider a time-dependent linear diffusion equation together with a related inverse boundary value problem. The aim of the inverse problem is to determine, based on observations…