Discrete approximation and regularisation for the inverse conductivity problem

DOI10.13137/2464-8728/13162zbMath1371.35355OpenAlexW2604022061MaRDI QIDQ2971324

Luca Rondi

Publication date: 4 April 2017

Full work available at URL: https://arxiv.org/abs/1702.03745

zbMATH Keywords

total variationinstabilityfinite elementsinverse problemsregularisation\(\Gamma\)-convergence

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Inverse problems for PDEs (35R30) Methods involving semicontinuity and convergence; relaxation (49J45) Theoretical approximation in context of PDEs (35A35) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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The Linearized Inverse Problem in Multifrequency Electrical Impedance Tomography ⋮ Direct regularized reconstruction for the three-dimensional Calderón problem ⋮ Calderón's inverse problem with a finite number of measurements II: independent data ⋮ A multiscale theory for image registration and nonlinear inverse problems ⋮ Adaptive reconstruction for electrical impedance tomography with a piecewise constant conductivity

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