Smoothened complete electrode model

Nuutti Hyvönen, Lauri Mustonen

Tutkimustuotos: LehtiartikkeliArticleScientificvertaisarvioitu

8 Sitaatiot (Scopus)
121 Lataukset (Pure)

Abstrakti

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.
AlkuperäiskieliEnglanti
Sivut2250–2271
JulkaisuSIAM Journal on Applied Mathematics
Vuosikerta77
Numero6
DOI - pysyväislinkit
TilaJulkaistu - joulukuuta 2017
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

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