APPROXIMATING IDEALIZED BOUNDARY DATA OF ELECTRIC IMPEDANCE TOMOGRAPHY BY ELECTRODE MEASUREMENTS
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Publication:3394257
DOI10.1142/S0218202509003759zbMath1169.35389MaRDI QIDQ3394257
Publication date: 28 August 2009
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
finite-dimensional approximationselliptic boundary value problemsNeumann-to-Dirichlet mapelectric impedance tomographyelectrode models
Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Inverse problems for PDEs (35R30)
Related Items (21)
Contact Adapting Electrode Model for Electrical Impedance Tomography ⋮ Series reversion in Calderón’s problem ⋮ Mimicking relative continuum measurements by electrode data in two-dimensional electrical impedance tomography ⋮ Enhancing D-bar reconstructions for electrical impedance tomography with conformal maps ⋮ Construction of Indistinguishable Conductivity Perturbations for the Point Electrode Model in Electrical Impedance Tomography ⋮ Distinguishability Revisited: Depth Dependent Bounds on Reconstruction Quality in Electrical Impedance Tomography ⋮ Detecting stochastic inclusions in electrical impedance tomography ⋮ Polynomial Collocation for Handling an Inaccurately Known Measurement Configuration in Electrical Impedance Tomography ⋮ Direct inversion from partial-boundary data in electrical impedance tomography ⋮ A shape optimization approach for electrical impedance tomography with point measurements ⋮ On the \(hp\)-adaptive solution of complete electrode model forward problems of electrical impedance tomography ⋮ Approximation of continuous EIT data from electrode measurements with Bayesian methods ⋮ Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes ⋮ The regularized monotonicity method: detecting irregular indefinite inclusions ⋮ Convergence and regularization for monotonicity-based shape reconstruction in electrical impedance tomography ⋮ A direct D-bar method for partial boundary data electrical impedance tomography with a priori information ⋮ Sampling Methods ⋮ Electrode modelling: The effect of contact impedance ⋮ On computation of test dipoles for factorization method ⋮ JUSTIFICATION OF POINT ELECTRODE MODELS IN ELECTRICAL IMPEDANCE TOMOGRAPHY ⋮ A Bayesian filtering approach to layer stripping for electrical impedance tomography
Cites Work
- A global uniqueness theorem for an inverse boundary value problem
- On computation of test dipoles for factorization method
- Poincaré inequalities in punctured domains
- Global uniqueness for a two-dimensional inverse boundary value problem
- Calderón's inverse conductivity problem in the plane
- The Factorization Method Applied to the Complete Electrode Model of Impedance Tomography
- Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
- Electrical Impedance Tomography
- Electrical impedance tomography
- Complete Electrode Model of Electrical Impedance Tomography: Approximation Properties and Characterization of Inclusions
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