Wednesday, May 12

Optimal Control of Elliptic and Parabolic Equations

9:00 AM-11:00 AM
Room: Capitol South

The optimal control of partial differential equations is a challenging area of optimization, where the theory of PDEs, advanced techniques for their numerical solution, modern tools of functional analysis and large-scale optimization methods are merged. This field is important for an increasing number of applications. The speakers in this minisymposium will report on different optimal control problems for semilinear and nonlinear equations of elliptic and parabolic type. They will emphasize several important issues: fast solution techniques, application of interior point methods, primal-dual strategies for state constraints, theoretical aspects of numerical approximation, and modelling of applied control problems. They will also present industrial applications.

Organizer: Fredi Tröltzsch
Technische Universität Chemnitz, Germany

9:00-9:25 Interior-Point Methods for Solving Elliptic Control Problems with Control and State Constraints
Helmut Maurer, Universität Münster, Germany; and Hans D. Mittelmann, Arizona State University
9:30-9:55 Primal-Dual Active Set Strategy for Constrained Optimal Control Problems
Maitine Bergounioux, Université d'Orleans, France; and Karl Kunisch, Universität Graz, Austria
10:00-10:25 Linear-Nonlinear Splitting in Parabolic Control Problems
Christian Grossmann, Technische Universität Dresden, Germany
10:30-10:55 Fast Solution of a State-Constrained Parabolic Control Problem
Andreas Unger, Technische Universität Chemnitz, Germany, and Fredi Tröltzsch, Organizer

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MMD, 12/21/98