The Factorization Method for Electrical Impedance Tomography in the Half-Space

DOI10.1137/06067064XzbMath1151.65085MaRDI QIDQ3520279

Birgit Schappel, Martin Hanke

Publication date: 18 August 2008

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

zbMATH Keywords

Galerkin methodinverse problemnumerical examplesfactorization methodreconstructionHaar waveletselectrical impedance tomographyhalf-space problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Electro- and magnetostatics (78A30)

Related Items (9)

Interpolation of missing electrode data in electrical impedance tomography ⋮ Nonlinear Fourier analysis for discontinuous conductivities: computational results ⋮ Sampling methods for reconstructing the geometry of a local perturbation in unknown periodic layers ⋮ Detecting stochastic inclusions in electrical impedance tomography ⋮ Recent progress on the factorization method for electrical impedance tomography ⋮ Electrical Impedance Tomography ⋮ Sampling Methods ⋮ The asymptotic behaviour of weak solutions to the forward problem of electrical impedance tomography on unbounded three‐dimensional domains ⋮ On a nonlinear integral equation approach for the surface reconstruction in semi-infinite-layered domains

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