A framework for EIT models
From MaRDI portal
Publication:6587555
DOI10.3934/ipi.2023058MaRDI QIDQ6587555
Josué D. Díaz-Avalos, Nelson Mugayar Kuhl
Publication date: 14 August 2024
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
continuum modela posteriori error estimationelectrical impedance tomographyKohn-Vogelius functionalcomplete electrode modelunified formulationmonotonicity principlefeasibility constraint
Radon transform (44A12) Weak solutions to PDEs (35D30) Inner product spaces and their generalizations, Hilbert spaces (46C99) Variational principles of physics (49S05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantitative error estimates for material idealization of torsion problems
- Convexity properties of inverse problems with variational constraints
- Functional analysis, Sobolev spaces and partial differential equations
- Error bounds for inverse electromagnetic problems in soil mechanics
- Generalized inverses: theory and computations
- A posteriori error analysis via duality theory. With applications in modeling and numerical approximations.
- Integral formulation of the complete electrode model of electrical impedance tomography
- Exact Shape-Reconstruction by One-Step Linearization in Electrical Impedance Tomography
- JUSTIFICATION OF POINT ELECTRODE MODELS IN ELECTRICAL IMPEDANCE TOMOGRAPHY
- Electric Current Computed Tomography and Eigenvalues
- Relaxation of a variational method for impedance computed tomography
- An error-based approach to complementary formulations of static field solutions
- Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
- Electrical Impedance Tomography
- Variationally constrained numerical solution of electrical impedance tomography
- Smoothened Complete Electrode Model
- Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes
- Monotonicity-Based Shape Reconstruction in Electrical Impedance Tomography
- Complementary variational principles for a generalized diffusion equation
- Numerical implementation of a variational method for electrical impedance tomography
- The Calderón Problem with Finitely Many Unknowns is Equivalent to Convex Semidefinite Optimization
This page was built for publication: A framework for EIT models
