18 citations · 23 across the 8 of their papers we have counts for
4 papers · 1 filter
Probabilistic Interpretation of the Calderón Problem
Petteri Piiroinen, Martin Simon
In this paper, we use the theory of symmetric Dirichlet forms to give a probabilistic interpretation of Calderón's inverse conductivity problem in terms of reflecting diffusion pro…
From Feynman-Kac Formulae to Numerical Stochastic Homogenization in Electrical Impedance Tomography
Petteri Piiroinen, Martin Simon
In this paper, we use the theory of symmetric Dirichlet forms to derive Feynman-Kac formulae for the forward problem of electrical impedance tomography with possibly anisotropic, m…
Probabilistic interpretation of electrical impedance tomography
Petteri Piiroinen, Martin Simon
In this paper, we give probabilistic interpretations of both, the forward and the inverse problem of electrical impedance tomography with possibly anisotropic, merely measurable co…
Point measurements for a Neumann-to-Dirichlet map and the Calderón problem in the plane
Nuutti Hyvönen, Petteri Piiroinen, Otto Seiskari
This work considers properties of the Neumann-to-Dirichlet map for the conductivity equation under the assumption that the conductivity is identically one close to the boundary of…