Adaptive and Stochastic Algorithms for Electrical Impedance Tomography and DC Resistivity Problems with Piecewise Constant Solutions and Many Measurements

DOI10.1137/110826692zbMath1241.65095OpenAlexW2052078443MaRDI QIDQ2882784

Kees van den Doel, Uri M. Ascher

Publication date: 7 May 2012

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110826692

zbMATH Keywords

algorithmsinverse problemnumerical exampleslevel setelectrical impedance tomographycross validationDC resistivitydynamic regularizationGauss-Newton approachpreconditioned conjugate gradient iterations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Uses Software

• RESINVM3D