Title: Rehabilitating POD

Speaker: Chris Beattie, Virginia Tech

Date/Time: Wednesday, July 27, 2005, 10:00-11:00 am

Location: Building 980, Room 95 (Sandia, NM)

Brief Abstract: This talk describes some refinements of the proper orthogonal decomposition (POD) methods for model reduction placing it on firmer mathematical foundations: large-scale or infinite-order dynamical systems arising from PDE models are replaced with systems of relatively low dimension having similar response characteristics. Subspaces of the state space are classified according to characteristic energies of solution trajectories, yielding a variational characterization of optimal subspaces that POD methods implicitly approximate.  The effect of weighting/quadrature strategies and a dual formulation are illustrated as well.

CSRI POC: Richard Lehoucq, (505) 845-8929