Numerical inversion of discontinuous conductivities

Authors
Citation
H. Ki et D. Sheen, Numerical inversion of discontinuous conductivities, INVERSE PR, 16(1), 2000, pp. 33-47
Citations number
18
Categorie Soggetti
Physics
Journal title
INVERSE PROBLEMS
ISSN journal
02665611 → ACNP
Volume
16
Issue
1
Year of publication
2000
Pages
33 - 47
Database
ISI
SICI code
0266-5611(200002)16:1<33:NIODC>2.0.ZU;2-T
Abstract
An inverse problem is considered to identify the geometry of discontinuitie s in a conductive material Omega subset of R-2 with conductivity 1 + (k - 1 )chi(D) from the measurements taken on the boundary partial derivative Omeg a, where D subset of Omega and k is a known positive constant. We propose a n efficient numerical algorithm for the problem to identify D in a certain class by a single measurement. Several numerical results are discussed.