Abstract
In this paper we present an approximation framework and convergence results for the identification of a nonlinear damping function in a thermoelastic system. A functional technique is used to demonstrate that solutions to a sequence of finite dimensional (Galerkin) approximating identification problems in some sense approximate a solution to the original infinite dimensional inverse problem. An example and numerical studies are discussed.
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References
Banks, H.T., Reich, S., Rosen, I.G.: Estimation of nonlinear damping in second order distributed parameter systems. Control Theory and Advanced Technology 6(3), 395–415 (1990)
Dimitriu, G.: Parameter Identification for Some Classes of Nonlinear Systems, PhD Thesis (1999) (in Romanian)
Rosen, I.G., Su, C.H.F.: An approximation theory for the identification of linear thermoelastic systems. Report CAMS # 90–5 (January 1990)
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Dimitriu, G. (2005). Identification of a Nonlinear Damping Function in a Thermoelastic System. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_29
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DOI: https://doi.org/10.1007/978-3-540-31852-1_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24937-5
Online ISBN: 978-3-540-31852-1
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