Slicing of a three-dimensional object from boundary measurements
Masaru Ikehata; Gen Nakamura; Masaru Ikehata; Department of Mathematics, Faculty of Engineering, Gunma University, Kiryu 376-8515, Japan; Gen Nakamura; Department of Mathematics, Faculty of Engineering, Gunma University, Kiryu 376-8515, Japan
Журнал:
Inverse Problems
Дата:
1999-10-01
Аннотация:
We consider the inverse problem for an electric static problem. We give a formula for the reconstruction of the section of the unknown three-dimensional inclusion by means of the Dirichlet-to-Neumann map. Our new point is to make use of a combination of singular solutions having one-dimensional singularity and the Runge approximation property of the harmonic function on an open disc.
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