ITLApplied  Computational Mathematics Division
ACMD Seminar Series
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Hierarchical Control Problems

Jon Tolle
Dept. of Operations Research, UNC

Tuesday, December 11, 2001 15:00-16:00,
Room B113, NIST Admin (101)
Tuesday, December 11, 2001 13:00-14:00,
Room 4511

Abstract: As part of our study of techniques for solving PDE - constrained optimization problems with significant nonlinear inequality constraints, we have investigated a class of hierarchical control problems. In this paper we report on the results of the application of an algorithm designed for inequality constrained problems to the solution of a model problem involving reaction-diffusion-type state equations and several pointwise controls satisfying quadratic constraints. The efficiency of the algorithm in solving this problem is discussed, including the dependence of the numerical behavior of the approximation on the values of a viscosity parameter.
Contact: A. J. Kearsley

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