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arXiv · 1609.03714

Identifying conductivity in electrical impedance tomography with total variation regularization

Michael Hinze·Barbara Kaltenbacher·Tran Nhan Tam Quyen
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Abstract

In this paper we investigate the problem of identifying conductivity in electrical impedance tomography from one boundary measurement. A variational method with total variation regularization is here proposed to tackle this problem. We discretize the PDE as well as the conductivity with piecewise linear, continuous finite elements. We prove the stability and convergence of this technique. For the numerical solution we propose a projected Armijo algorithm. Finally, a numerical experiment is presented to illustrate our theoretical results.

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Michael Hinze, Barbara Kaltenbacher, Tran Nhan Tam Quyen. 2016-09-13. Identifying conductivity in electrical impedance tomography with total variation regularization. https://arxiv.org/abs/1609.03714

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