Identification of a Nonlinear Damping Function in a Thermoelastic System
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.
KeywordsMild Solution Saturation Function Approximation Framework Functional Technique Unique Mild Solution
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