Discontinuous polynomial approximation in electrical impedance tomography with total variational regularization
type: Item
instance of: scholarly article
title: Discontinuous polynomial approximation in electrical impedance tomography with total variational regularization
zbMATH Open document ID: 1543.65192
author: Bangti Jin
author: Yifeng Xu
author: Jingrong Yang
author: Kai Zhang
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2024-08-22T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N21
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 49M41
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 68U10
zbMATH DE Number: 7900577
zbMATH Keywords: total variation
zbMATH Keywords: piecewise polynomial
zbMATH Keywords: finite element method
zbMATH Keywords: convergence
zbMATH Keywords: electrical impedance tomography
MaRDI profile type: Publication
cites work: A direct sampling method for electrical impedance tomography
cites work: The Bayesian formulation of EIT: analysis and algorithms
cites work: Monotonicity-Based Shape Reconstruction in Electrical Impedance Tomography
cites work: Identifying conductivity in electrical impedance tomography with total variation regularization
cites work: A reconstruction algorithm for electrical impedance tomography based on sparsity regularization
cites work: An analysis of electrical impedance tomography with applications to Tikhonov regularization
cites work: Convexification of restricted Dirichlet-to-Neumann map
cites work: Regularized D-bar method for the inverse conductivity problem
cites work: Enhanced Electrical Impedance Tomographyviathe Mumford–Shah Functional
cites work: On the regularization of the inverse conductivity problem with discontinuous conductivities
cites work: Sparsity reconstruction in electrical impedance tomography: an experimental evaluation
cites work: Sparsity regularization for parameter identification problems
cites work: Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
cites work: Variational Analysis in Sobolev andBVSpaces
cites work: Q3134551
cites work: An analysis of finite element approximation in electrical impedance tomography
cites work: Crouzeix-Raviart approximation of the total variation on simplicial meshes
cites work: Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
cites work: A convergent adaptive finite element method for electrical impedance tomography
cites work: Q3093929
cites work: Smoothened Complete Electrode Model
cites work: Adaptive reconstruction for electrical impedance tomography with a piecewise constant conductivity
cites work: New longest-edge algorithms for the refinement and/or improvement of unstructured triangulations
cites work: The finite element methods for elliptic problems.
cites work: An Augmented Lagrangian Method for Identifying Discontinuous Parameters in Elliptic Systems
cites work: Error estimates for finite differences approximations of the total variation
cites work: On the limited memory BFGS method for large scale optimization
cites work: A Limited Memory Algorithm for Bound Constrained Optimization
DOI: 10.1016/J.CNSNS.2024.108166
description: scientific article; zbMATH DE number 7900577