Reconstruction of less regular conductivities in the plane

Kim Knudsen; Alexandru Tamasan

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Reconstruction of less regular conductivities in the plane

Kim Knudsen·Alexandru Tamasan

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Abstract

We study the inverse conductivity problem of how to reconstruct an isotropic electrical conductivity distribution $γ$ in an object from static electrical measurements on the boundary of the object. We give an exact reconstruction algorithm for the conductivity $γ\in C^{1+ε}(\ol \Om)$ in the plane domain $Ω$ from the associated Dirichlet to Neumann map on $\partial \Om.$ Hence we improve earlier reconstruction results. The method used relies on a well-known reduction to a first order system, for which the $\ol\partial$-method of inverse scattering theory can be applied.

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BibTeX RIS

Kim Knudsen, Alexandru Tamasan. 2001-10-26. Reconstruction of less regular conductivities in the plane. https://arxiv.org/abs/math/0110298

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