Title: The Velocity Tracking Problem for MHD Flows with Distributed Magnetic Field Control

Speaker: Catalin Trenchea, University of Pittsburgh

Date/Time: Wednesday, August 22, 2007, 2:00 pm – 3:00 pm

Location: CSRI Building, Room 148 (Sandia NM)

Abstract:We consider the mathematical formulation and the analysis of an optimal control problem associated with the tracking of the velocity of a viscous, incompressible, electrically conducting fluid in a bounded two-dimensional domain through the adjustment of distributed controls. Existence of optimal solutions is proved and first-order necessary conditions for optimality are used to derive an optimality system of partial differential equations whose solutions provide optimal states and controls. Semidiscrete-in-time and fully discrete space-time approximations are defined and their convergence to the exact optimal solutions is shown.  The results of some computational experiments are provided.

CSRI POC:Clayton Webster, (505) 845-3267