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
- Slawomir Kolodziej, The complex Monge-Ampére equation and methods of pluripotential theory , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Georgi Vodev, Semi-Classical Propagation of Singularities on Riemannian Manifolds without Boundary and Applications , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Bapurao C. Dhage, John R. Graef, Shyam B. Dhage, Existence, stability and global attractivity results for nonlinear Riemann-Liouville fractional differential equations , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- David G. Costa, A First Encounter with Variational Methods in Differential Equations , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
- Daniel J. Curtin, The Solution of the Cubic Equation: Renaissance Genius and Strife , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- Charalampos Tsitouras, Explicit Runge-Kutta methods for the numerical solution of initial value problems , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- Mehdi Dehghanian, Choonkil Park, Yamin Sayyari, Stability of ternary antiderivation in ternary Banach algebras via fixed point theorem , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Rigoberto Medina, Asymptotic behavior of the solution of a nonlinear differential equation , CUBO, A Mathematical Journal: No. 6 (1990): CUBO, Revista de Matemática
- Oscar Rojo J., Ricardo Soto, On the construction of Jacobi matrices from spectral data , CUBO, A Mathematical Journal: No. 4 (1988): CUBO, Revista de Matemática
- Abdelouaheb Ardjouni, Ahcene Djoudi, Study of global asymptotic stability in nonlinear neutral dynamic equations on time scales , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
<< < 14 15 16 17 18 19 20 21 22 23 24 25 > >>
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
