Inverse Crack Problem and Probe Method
-
Masaru Ikehata
ikehata@math.sci.gunma-u.ac.jp
Downloads
Abstract
A problem of extracting information about the location and shape of unknown cracks in a background medium from the Dirichlet-to-Neumann map is considered. An application of a new formulation of the probe method introduced by the author to the problem is given. The method is based on: the blowup property of sequences of special solutions of the governing equation for the background medium which are related to a singular solution of the equation; an explicit lower bound of an L2-norm of the gradient of the so-called reflected solution.
Keywords
Most read articles by the same author(s)
- Masaru Ikehata, A Remark on the Enclosure Method for a Body with an Unknown Homogeneous Background Conductivity , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
Similar Articles
- K. Rajendra Prasad, Mahammad Khuddush, K. V. Vidyasagar, Infinitely many positive solutions for an iterative system of singular BVP on time scales , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Goutam Haldar, Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Masaya Kawamura, On an \(a\) \(priori\) \(L^\infty\) estimate for a class of Monge-Ampère type equations on compact almost Hermitian manifolds , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Buddhadev Pal, Santosh Kumar, Pankaj Kumar, Einstein warped product spaces on Lie groups , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- S. S. Dragomir, Several inequalities for an integral transform of positive operators in Hilbert spaces with applications , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Amal Ghandouri, Hatem Mejjaoli, Slim Omri, On generalized Hardy spaces associated with singular partial differential operators , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Ganga Ram Gautam, Sandra Pinelas, Manoj Kumar, Namrata Arya, Jaimala Bishnoi, On the solution of \(\mathcal{T}-\)controllable abstract fractional differential equations with impulsive effects , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Raymond Mortini, A nice asymptotic reproducing kernel , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Branko Malešević, Dimitrije Jovanović, Frame’s Types of Inequalities and Stratification , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Aisha Jabeen, Bruno L. M. Ferreira, Multiplicative maps on generalized \(n\)-matrix rings , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
<< < 27 28 29 30 31 32 33 34 35 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2006-04-01
How to Cite
[1]
M. Ikehata, “Inverse Crack Problem and Probe Method”, CUBO, vol. 8, no. 1, pp. 29–40, Apr. 2006.
Issue
Section
Articles
