Symbolic computation for inverse boundary-value problems and its application to impedance tomography reconstruction

Author

Yoda, Kiyoshi

Author_Institution

Mitsubishi Electric Corp., Amagasaki, Japan

Volume

29

Issue

2

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

1943

Lastpage

1945

Abstract

A symbolic approach to inverse boundary-value problems is described. Finite-element or boundary-element calculation of a given system is performed using symbolic parameters expressing its material or shape properties. The calculated results such as potential distributions are explicitly provided as a function of the material or shape variables. The inverse problem can be solved directly by comparing the calculated distribution functions with measured or desired quantities. Applications include identification of unknown internal system parameters as well as design optimization. Preliminary experimental results aimed at impedance tomography reconstruction are shown

Keywords

boundary-value problems; electromagnetic fields; finite element analysis; design optimization; distribution functions; impedance tomography reconstruction; inverse boundary-value problems; potential distributions; shape properties; symbolic approach; symbolic parameters; Algebra; Design optimization; Distribution functions; Finite element methods; Impedance; Inverse problems; Laboratories; Shape measurement; Tomography; Voltage;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.250789

Filename

250789