Monday, July 22
In constructing mathematical models for engineering applications, an important step is verifying the model by comparing the behavior of the model with experimental results. One approach to this verification step is to compare spectral information from the physical system with the computed model and then to update the model to more accurrately represent the physical system. Similar procedures may also be used to monitor a system for damage.
Spectral Information in Inverse Problems
This minisymposium will bring together a diverse group of researchers, including an engineer who studies finite element models and their vibrational properties and mathematicians who study the problems of fitting a matrix to partial spectral information and reconstructing coefficients of a partial differential operator from spectral information.
Organizer: Russell M. Brown and Peter A. Perry
University of Kentucky
- 8:30 Isospectral Finite Element Models
- Graham M.L. Gladwell and Hongmei Zhu, University of Waterloo, Canada
- 9:00 A Numerical Method for the Inverse Stochastic Spectrum Problem
- Moody T. Chu, North Carolina State University, Colorado Springs
- 9:30 Direct and Inverse Sturm-Liouville Problems with Jump Singularities
- Robert Carlson, University of Colorado, Colorado Springs
- 10:00 Reconciling Modeled Dynamics with Experimental Data
- Christopher A. Beattie, Virginia Polytechnic Institute and State University