On reconstruction of a cavity in a linearized viscoelastic body from infinitely many transient boundary data

In this paper, a reconstruction problem of a cavity in a linearized viscoelastic body from dynamical boundary data is considered. As a result, we establish a formula extracting three kinds of information about the unknown cavity: the support function, the distance from an outer point of the body and...

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Bibliographic Details
Published in:Inverse problems 2012-12, Vol.28 (12), p.125003-19
Main Authors: Ikehata, Masaru, Itou, Hiromichi
Format: Article
Language:English
Subjects:
Boundaries
cavity
enclosure method
Exact sciences and technology
Holes
inverse initial boundary value problem
Inverse problems
linearized viscoelasticity
Physics
Reconstruction
Viscoelasticity
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Summary:In this paper, a reconstruction problem of a cavity in a linearized viscoelastic body from dynamical boundary data is considered. As a result, we establish a formula extracting three kinds of information about the unknown cavity: the support function, the distance from an outer point of the body and the minimum radius of the open ball including the cavity centered at a point, with infinitely many sets of the boundary data. In the formula, observation time can be taken to be arbitrary.
ISSN:0266-5611
1361-6420
DOI:10.1088/0266-5611/28/12/125003