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Numerical identification of discontinuous conductivity coefficients

Hyeonbae Kang-+, Jin Keun Seo++ and Dongwoo Sheen§

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Let be given and suppose is an unknown object with known constant conductivity k. We consider the inverse problem of determining the discontinuous conductivity coefficient from the measurements of the electric voltage induced by the electric current flux prescribed on . We propose a general numerical algorithm for this problem and implement this algorithm to identify a disc by only one measurement.


PACS

02.30.Zz Inverse problems

02.60.Lj Ordinary and partial differential equations; boundary value problems

02.30.Jr Partial differential equations

MSC

65Dxx Numerical approximation and computational geometry (primarily algorithms) (For theory, see 41-XX and 68Uxx)

35R30 Inverse problems (undetermined coefficients, etc.) for PDE

26A16 Lipschitz (Hölder) classes

35N15 bar partial-Neumann problem and generalizations; formal complexes (See also 32W05, 32W10, 58J10)

Subjects

Mathematical physics

Computational physics

Dates

Issue 1 (February 1997)

Received 6 June 1996



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