Smoothened complete electrode model

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Smoothened complete electrode model. / Hyvönen, Nuutti; Mustonen, Lauri.

julkaisussa: SIAM Journal on Applied Mathematics, Vuosikerta 77, Nro 6, 12.2017, s. 2250–2271.

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Hyvönen, Nuutti ; Mustonen, Lauri. / Smoothened complete electrode model. Julkaisussa: SIAM Journal on Applied Mathematics. 2017 ; Vuosikerta 77, Nro 6. Sivut 2250–2271.

Bibtex - Lataa

@article{fa7d84e5106d4b8abbdc1e799806a4b3,
title = "Smoothened complete electrode model",
abstract = "This work reformulates the complete electrode model of electrical impedance tomography in order to enable more efficient numerical solution. The model traditionally assumes constant contact conductances on all electrodes, which leads to a discontinuous Robin boundary condition since the gaps between the electrodes can be described by vanishing conductance. As a consequence, the regularity of the electromagnetic potential is limited to less than two square-integrable weak derivatives, which negatively affects the convergence of, e.g., the finite element method. In this paper, a smoothened model for the boundary conductance is proposed, and the unique solvability and improved regularity of the ensuing boundary value problem are proven. Numerical experiments demonstrate that the proposed model is both computationally feasible and compatible with real-world measurements. In particular, the new model allows faster convergence of the finite element method.",
keywords = "electrical impedance tomography, complete electrode model, inverse elliptic boundary value problems, regularity",
author = "Nuutti Hyv{\"o}nen and Lauri Mustonen",
year = "2017",
month = "12",
doi = "10.1137/17M1124292",
language = "English",
volume = "77",
pages = "2250–2271",
journal = "SIAM Journal on Applied Mathematics",
issn = "0036-1399",
number = "6",

}

RIS - Lataa

TY - JOUR

T1 - Smoothened complete electrode model

AU - Hyvönen, Nuutti

AU - Mustonen, Lauri

PY - 2017/12

Y1 - 2017/12

N2 - This work reformulates the complete electrode model of electrical impedance tomography in order to enable more efficient numerical solution. The model traditionally assumes constant contact conductances on all electrodes, which leads to a discontinuous Robin boundary condition since the gaps between the electrodes can be described by vanishing conductance. As a consequence, the regularity of the electromagnetic potential is limited to less than two square-integrable weak derivatives, which negatively affects the convergence of, e.g., the finite element method. In this paper, a smoothened model for the boundary conductance is proposed, and the unique solvability and improved regularity of the ensuing boundary value problem are proven. Numerical experiments demonstrate that the proposed model is both computationally feasible and compatible with real-world measurements. In particular, the new model allows faster convergence of the finite element method.

AB - This work reformulates the complete electrode model of electrical impedance tomography in order to enable more efficient numerical solution. The model traditionally assumes constant contact conductances on all electrodes, which leads to a discontinuous Robin boundary condition since the gaps between the electrodes can be described by vanishing conductance. As a consequence, the regularity of the electromagnetic potential is limited to less than two square-integrable weak derivatives, which negatively affects the convergence of, e.g., the finite element method. In this paper, a smoothened model for the boundary conductance is proposed, and the unique solvability and improved regularity of the ensuing boundary value problem are proven. Numerical experiments demonstrate that the proposed model is both computationally feasible and compatible with real-world measurements. In particular, the new model allows faster convergence of the finite element method.

KW - electrical impedance tomography

KW - complete electrode model

KW - inverse elliptic boundary value problems

KW - regularity

UR - https://arxiv.org/abs/1703.08022

U2 - 10.1137/17M1124292

DO - 10.1137/17M1124292

M3 - Article

VL - 77

SP - 2250

EP - 2271

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 6

ER -

ID: 16784009