Variational approach for identifying a coefficient of the wave equation
-
Cheok Choi
chuck01@snu.ac.kr
-
Gen Nakamura
gnaka@math.sci.hokudai.ac.jp
-
Kenji Shirota
shirota@mx.ibaraki.ac.jp
Downloads
Abstract
An inverse initial-boundary value problem for identifying the coefficient of some second order hyperbolic equation by single set of boundary measurement is considered. The problem is transformed to a minimization problem of a functional. After a concrete expression of the Gateaux derivative of the functional is obtained, an algorithm for identifying the coefficient is given based on the projected gradient method. A numerical result is presented to verify the algorithm.
Keywords
Similar Articles
- Shigeki Matsutani, Relations of al Functions over Subvarieties in a Hyperelliptic Jacobian , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- Ajay Kumar, Ekta Tamrakar, Inertial algorithm for solving split inclusion problem in Banach spaces , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- V´Ä±ctor Ayala, Marcos M. Diniz, Jos´e C.P. Lima, Jos´e M.M. Veloso, Ivan Tribuzy, Wave Front Sets Singularities of Homogeneous Sub-Riemannian Three Dimensional Manifolds , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Bruno Costa, Spectral Methods for Partial Differential Equations , CUBO, A Mathematical Journal: Vol. 6 No. 4 (2004): CUBO, A Mathematical Journal
- Michael J. Mezzino, Numerical Solutions of Ordinary Differential Equations , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Shruti A. Kalloli, José Vanterler da C. Sousa, Kishor D. Kucche, On the \(\Phi\)-Hilfer iterative fractional differential equations , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- Mouffak Benchohra, Naima Hamidi, Fractional Order Differential Inclusions via the Topological Transversality Method , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
- B. C. Das, Soumen De, B. N. Mandal, Wave propagation through a gap in a thin vertical wall in deep water , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
- Vadim N. Biktashev, Envelope equations for modulated non-conservative waves , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- Abolfazl Sadeghi, Ghasem Alizadeh Afrouzi, Maryam Mirzapour, Investigating the existence and multiplicity of solutions to \(\varphi(x)\)-Kirchhoff problem , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2007-08-01
How to Cite
[1]
C. Choi, G. Nakamura, and K. Shirota, “Variational approach for identifying a coefficient of the wave equation”, CUBO, vol. 9, no. 2, pp. 81–101, Aug. 2007.
Issue
Section
Articles
