Smoothened complete electrode model

Nuutti Hyvönen, Lauri Mustonen

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)
145 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)2250–2271
JournalSIAM Journal on Applied Mathematics
Issue number6
Publication statusPublished - Dec 2017
MoE publication typeA1 Journal article-refereed


  • electrical impedance tomography
  • complete electrode model
  • inverse elliptic boundary value problems
  • regularity

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