Saturday, May 9

Methods for Optimization in Distributed Parameter Systems

3:30 PM-5:30 PM
St. Augustine

Many control, design, PDE and variational problems can be solved by finding a critical point, either a minimum or a min-maximum point, in a nonlinear distributed parameter system. The speakers in this minisymposium will present new advances in modeling, methods and algorithms. In particular, the speakers will address problems and solvers when the objective functional is nonsmooth or solutions of higher Morse index are desired. In this case, most conventional methods fail.

Organizer: Jianxin Zhou
Texas A&M University, College Station

3:30 A Generalized Gradient Method for Maximizing Bandgaps in Artificial Crystals
David C. Dobson, Texas A&M University, College Station
4:00 A Numerical High-Linking Method for Semilinear Elliptic Equations
Zhonghai Ding and David Costa, University of Nevada, Las Vegas; and Goong Chen, Texas A&M University, College Station
4:30 The Elliptic Boundary Value Problems of Static Formation Theory
David Russell, Virginia Polytechnic Institute and State University
5:00 A Numerical Method for Finding Critical Points of Higher Morse Index in Nonlinear Distributed Parameter Systems
Yongxin Li, Texas A&M University, College Station and Jianxin Zhu, Organizer

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MMD, 3/5/98