Identifying conductivity in electrical impedance tomography with total variation regularization

被引：0
作者：
Michael Hinze
Barbara Kaltenbacher
Tran Nhan Tam Quyen
机构：
[1] University of Hamburg,
[2] Alpen-Adria-Universität Klagenfurt,undefined
来源：
Numerische Mathematik | 2018年 / 138卷
关键词：
Conductivity identification; Electrical impedance tomography; Total variation regularization; Finite element method; Neumann problem; Dirichlet problem; Ill-posed problems; 65N21; 65N12; 35J25; 35R30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we investigate the problem of identifying the 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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页码：723 / 765
页数：42
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