Fréchet Derivative with Respect to the Shape of an Internal Electrode in Electrical Impedance Tomography

DOI10.1137/09075929XzbMath1205.35338MaRDI QIDQ3068614

Nuutti Hyvönen, Kimmo Karhunen, Aku Seppänen

Publication date: 17 January 2011

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

zbMATH Keywords

inclusionsFréchet derivativereinforced concreteelectrical impedance tomographynondestructive testingdomain derivativeinternal electrodes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Technical applications of optics and electromagnetic theory (78A55) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (5)

Adaptive meshing approach to identification of cracks with electrical impedance tomography ⋮ Compensation for geometric modeling errors by positioning of electrodes in electrical impedance tomography ⋮ Convergence and regularization for monotonicity-based shape reconstruction in electrical impedance tomography ⋮ Edge-Enhancing Reconstruction Algorithm for Three-Dimensional Electrical Impedance Tomography ⋮ Joint estimation of Robin coefficient and domain boundary for the Poisson problem

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