Estimation of Nonlinear Damping in Second Order Distributed Parameter Systems
Abstract
An approximation and convergence theory for the identification of nonlinear damping in abstract wave equations is developed. It is assumed that the unknown dissipation mechanism to be identified can be described by a maximal monotone operator acting on the generalized velocity. The stiffness is assumed to be linear and symmetric. Functional analytic techniques are used to establish 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. Accretive operator, Galerkin approximation, Inverse problems, Nonlinear damping, Nonlinear evolution equation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1989
- Accession Number
- ADA212313
Entities
People
- H. Thomas Banks
- I. G. Rosen
- Simeon Reich