MATH Seminar

Title: Projected Krylov Methods for Saddle-Point Systems
Seminar: Numerical Analysis and Scientific Computing
Speaker: Dominique Orban of Mathematics and Industrial Engineering Department \linebreak Ecole Polytechnique de Montreal
Contact: Michele Benzi, benzi@mathcs.emory.edu
Date: 2013-03-20 at 12:50PM
Venue: W306
Download Flyer
Abstract: Projected Krylov methods are full-space formulations of Krylov methods that take place in a nullspace. Provided projections into the nullspace can be computed accurately, those methods only require products between an operator and vectors lying in the nullspace. We provide systematic principles for obtaining the projected form of any well-defined Krylov method. We illustrate typical behavior on a few simple problems arising from the discretization of the Stokes and Navier-Stokes equations and describe a convenient object-oriented Matlab implementation.