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https://hdl.handle.net/20.500.14365/1558
Title: | Convergence Theorem for a Numerical Method of a 1d Coefficient Inverse Problem | Authors: | Özbilge Kahveci, Ebru | Keywords: | coefficient inverse problem hyperbolic equation numerical method convergence theorem |
Publisher: | Taylor & Francis Ltd | Abstract: | An approximately globally convergent numerical method proposed by Beilina and Klibanov for a coefficient inverse problem related to the hyperbolic equation c(x)u(tt) = u(xx) is studied. While the global convergence of this method has been proved for the 3D case, in 1D case, it was proved only partially. The last case is of an interest, since it was demonstrated that the 1D version of this method works well for a set of experimental data. In this paper, a complete proof of convergence of this method in 1D is presented. | URI: | https://doi.org/10.1080/00036811.2013.841144 https://hdl.handle.net/20.500.14365/1558 |
ISSN: | 0003-6811 1563-504X |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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