1-D inverse problem of thermoelasticity
6th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2003), Jyvaskyla, Finland, 30 June - 04 July 2003, pp.549-554, (Full Text)
- Publication Type: Conference Paper / Full Text
- Volume:
- City: Jyvaskyla
- Country: Finland
- Page Numbers: pp.549-554
- Dokuz Eylül University Affiliated: No
Abstract
The paper deals with an inverse dynamic problem for the uncoupled system of thermoelasticity. This problem is reduced to two auxiliary inverse problems: the recovery of the density and Lame functions appearing in the Lame system of elasticity, and then finding the heat extension-function entering in the system of thermoelasticity. Uniqueness and stability estimate theorems are established for each of the auxiliary inverse problem. Existence theorem for the solution of the second auxiliary problem is proved. The numerical methods for the solution of each problem are discussed.