Polynomial Collocation for Handling an Inaccurately Known Measurement Configuration in Electrical Impedance Tomography

DOI10.1137/16M1068888zbMath1357.65243arXiv1604.00353OpenAlexW2469457641MaRDI QIDQ2960393

Lauri Mustonen, Nuutti Hyvönen, Stratos Staboulis, Vesa Kaarnioja

Publication date: 9 February 2017

Full work available at URL: https://arxiv.org/abs/1604.00353

zbMATH Keywords

numerical experimentselectrical impedance tomographyuncertainty quantificationBayesian inversioncomplete electrode modelpolynomial collocationinaccurate measurement modelNewton-type output least squares algorithm

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Inverse problems for PDEs (35R30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Uses Software

• OPQ

Cites Work

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