Discontinuous polynomial approximation in electrical impedance tomography with total variational regularization

DOI10.1016/j.cnsns.2024.108166zbMath1543.65192MaRDI QIDQ6591839

Kai Zhang, Yifeng Xu, Bangti Jin, Jingrong Yang

Publication date: 22 August 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

total variationconvergencefinite element methodelectrical impedance tomographypiecewise polynomial

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Computing methodologies for image processing (68U10) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) PDE constrained optimization (numerical aspects) (49M41)

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