ITLApplied  Computational Mathematics Division
ACMD Seminar Series
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Applications and Recent Developments of Multilevel Optimization Framework (MG/OPT)

Zichao Di
Department of Mathematical Sciences, George Mason University

Tuesday, July 24, 2012 15:00-16:00,
Building 101, Lecture Room C
Tuesday, July 24, 2012 13:00-14:00,
Room 1-4058

Abstract: This talk will focus on recent progress related to the theory and applications of the multilevel optimization approach MG/OPT. The intent of MG/OPT is to use calculations on coarser levels to accelerate the progress of the optimization on the finest level. Uniform convergence of MG/OPT with respect to the problem size in an unconstrained setting is shown for a particular type of vector quantization problems based on centroidal Voronoi tessellations (CVTs). Another problem to be addressed is the extension of the MG/OPT framework to constrained problems which presents many challenges if taken in its full generality. We will present the results of numerical experiments for a set of constrained optimal control problems where the newly developed constrained MG/OPT yields significant speedup comparing to existing techniques.

Speaker Bio: Zichao Di is a Ph.D candidate in mathematical science from George Mason University and she is expected to graduate at spring 2013. She received her B.S. in applied math from Dalian University of Technology (China) in 2008. Her research is in the area of optimization and numerical methods with main focus on multigrid.

Presentation Slides: PDF

Contact: A. J. Kearsley

Note: Visitors from outside NIST must contact Cathy Graham; (301) 975-3668; at least 24 hours in advance.

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Last updated: 2012-07-24.