We consider the electrostatic inverse boundary value problem also known as electrical impedance tomography (EIT) for the case where the conductivity is a piecewise linear function on a domain ⊂ R^n and we show that a Lipschitz stability estimate for the conductivity in terms of the local Dirichlet-to-Neumann map holds true.
Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities
ALESSANDRINI, GIOVANNI;SINCICH, EVA
2016-01-01
Abstract
We consider the electrostatic inverse boundary value problem also known as electrical impedance tomography (EIT) for the case where the conductivity is a piecewise linear function on a domain ⊂ R^n and we show that a Lipschitz stability estimate for the conductivity in terms of the local Dirichlet-to-Neumann map holds true.File in questo prodotto:
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