The determination of a discontinuity in a conductivity from a single boundary measurement

abstract

• We consider the determination of the interior domain D where D is characterized by a different conductivity from the surrounding medium. This amounts to solving the inverse problem of recovering the piecewise constant conductivity a = 1 + D in div(a u) = 0 from boundary data consisting of Cauchy data on the boundary of the exterior domain . We will compute the derivative of the map from the domain D to this data and use this to obtain both qualitative and quantitative measures of the solution of the inverse problem.

authors

• Rundell, William

published proceedings

• INVERSE PROBLEMS

author list (cited authors)

• Hettlich, F., & Rundell, W.

citation count

• 85

complete list of authors

• Hettlich, F||Rundell, W

publication date

• January 1998

publisher

• IOP Publishing  Publisher

published in

• Inverse Problems  Journal

keywords

• Generic Health Relevance

Digital Object Identifier (DOI)

• 10.1088/0266-5611/14/1/008

start page

• 67

end page

• 82

volume

• 14

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.1088%2F0266-5611%2F14%2F1%2F008