Convergence study of 2D forward problem of electrical impedance tomography with high-order finite elements

DOI10.1080/17415977.2016.1255739zbMath1398.65295OpenAlexW2549225047MaRDI QIDQ4638129

M. G. Crabb

Publication date: 3 May 2018

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2016.1255739

zbMATH Keywords

elliptic partial differential equationsnumerical convergenceelectrical impedance tomographyhigh-order finite elementscomplete electrode model

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (4)

Sensitivity analysis of the complete electrode model for electrical impedance tomography ⋮ A high order discontinuous Galerkin method for the recovery of the conductivity in electrical impedance tomography ⋮ Inclusion boundary reconstruction and sensitivity analysis in electrical impedance tomography ⋮ A polarization tensor approximation for the Hessian in iterative solvers for non-linear inverse problems

Uses Software

• EIDORS

Cites Work

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• On the \(hp\)-adaptive solution of complete electrode model forward problems of electrical impedance tomography
• Fine-tuning electrode information in electrical impedance tomography
• \(hp\)-finite element discretisation of the electrical impedance tomography problem
• Theory and practice of finite elements.
• Partial differential equations. 1: Basic theory
• On an inverse boundary value problem
• Electrode modelling: The effect of contact impedance
• JUSTIFICATION OF POINT ELECTRODE MODELS IN ELECTRICAL IMPEDANCE TOMOGRAPHY
• Electrode Modelling in Electrical Impedance Tomography
• Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
• Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography
• Electrical impedance tomography
• Resolution-Controlled Conductivity Discretization in Electrical Impedance Tomography

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