A Weighted Minimum Gradient Problem with Complete Electrode Model Boundary Conditions for Conductivity Imaging

DOI10.1137/15M100897XzbMath1342.35454arXiv1502.04731OpenAlexW2962875475MaRDI QIDQ5740326

Alexandru Tamasan, Adrian I. Nachman, Johann Veras

Publication date: 26 July 2016

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04731

zbMATH Keywords

minimal surfacescomplete electrode modelconductivity imagingmagnetic resonance electrical impedance tomographycurrent density impedance imagingminimum gradient

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Inverse problems for PDEs (35R30) Nonlinear elliptic equations (35J60) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (9)

Continuity of minimizers to weighted least gradient problems ⋮ The planar least gradient problem in convex domains: the discontinuous case ⋮ Imaging conductivity from current density magnitude using neural networks* ⋮ Least gradient problems with Neumann boundary condition ⋮ A novel method for the numerical solution of a hybrid inverse problem of electrical conductivity imaging ⋮ A regularized weighted least gradient problem for conductivity imaging ⋮ Electrical networks with prescribed current and applications to random walks on graphs ⋮ The planar least gradient problem in convex domains, the case of continuous datum ⋮ The method of regularized successive iterations for coupled physics conductivity imaging from a single internal data

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