Monday, July 10

Computational Aspects of Sensitivity Analysis, Identification and Control for PDEs

4:00 PM-6:00 PM
Rio Mar 7

Sponsored by SIAM Activity Group on Control and Systems Theory

This minisymposium addresses computational issues arising in sensitivity analysis, parameter estimation, and control design for spatially distributed systems. The first speaker presents a method for computing design sensitivities. Using an elliptic interface problem, it is shown how to address discontinuities of the parameter sensitivities. Such discontinuous behavior is not uncommon when the parameter of concern is interface location. The second speaker presents a quasilinearization method used for parameter estimation in a nonlinear Cauchy problem. Convergence of the method is analyzed. The third speaker discusses the technique of renorming in the context of robustness analysis. In addition, a framework for development of approximation schemes is discussed. The last speaker considers control design in the context of stabilized finite element methods. A stabilized code is one in which additional terms are included in the simulations to stabilize a numerical unstable code. These terms are nonphysical, and presumably necessary for simulation purposes only. The issue of stability of the controlled system is discussed.

Organizer: Belinda B. King
Virginia Polytechnic Institute and State University, USA
4:00-4:25 A Domain Decomposition Method for Calculating Sensitivities for Elliptic Interface Problems
Lisa G. Stanley, Montana State University, USA
4:30-4:55 A Quasilinearization Method for Parameter Identification in Nonlinear Cauchy Problems
Rubin D. Spies, INTEC-PEMA, Argentina
5:00-5:25 A Renorming Method for Investigating Parameter Sensitivity
Richard H. Fabiano, University of North Carolina, Greensboro, USA
5:30-5:55 A Stabilized Finite Element Method and Feedback Control Design
Jeanne A. Atwell, Virginia Polytechnic Institute and State University, USA; and Belinda B. King, Organizer

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