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Boundary element iterative techniques for determining the interface boundary between two Laplace domains—a basic study of impedance plethysmography as an inverse problem
Author(s) -
Murai Tadakuni,
Kagawa Yukio
Publication year - 1986
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620230105
Subject(s) - boundary element method , laplace transform , boundary (topology) , boundary value problem , mathematical analysis , inverse problem , electrical impedance , mathematics , inverse , finite element method , inverse laplace transform , geometry , physics , structural engineering , engineering , quantum mechanics
The interface boundary between two domains with different conductivity is to be determined from the impedance measured at the domain surface. This is an inverse problem. Two approaches, influence coefficient approach and boundary integral approach, using a boundary element model are presented. To examine the validity of the approaches, numerical experiments are carried out for a two‐dimensional field, and the suitability and limitation of the methods for application to impedance plethysmography are discussed.