Adaptive reconstruction for electrical impedance tomography with a piecewise constant conductivity

In this work we propose and analyze a numerical method for electrical impedance tomography to recover a piecewise constant conductivity from boundary voltage measurements. It is based on standard Tikhonov regularization with a Modica-Mortola penalty functional and adaptive mesh refinement using suit...

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Veröffentlicht in:	Inverse problems 2020-01, Vol.36 (1), p.14003
Hauptverfasser:	Jin, Bangti, Xu, Yifeng
Format:	Artikel
Sprache:	eng
Schlagworte:	a posteriori error estimator adaptive finite element method convergence analysis electrical impedance tomography Modica-Mortola functional piecewise constant conductivity
Online-Zugang:	Volltext
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