PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Lu Wang, Ludmil Zikatanov.

Title:Cascadic Multilevel Algorithms for Saddle Point Systems
Seminar:CCMA PDEs and Numerical Methods Seminar Series
Speaker:Constantin Bacuta, Department of Mathematical Sciences , University of Delaware
Abstract:
Based on the cascade principle, we consider multilevel type of algorithms for discretizing saddle point problems. The finite element spaces are associated with successively finer and finer grids. On each fixed level a standard Uzawa, gradient Uzawa, or conjugate gradient Uzawa method is implemented. The algorithms are designed to perform more iterations on the coarse grids and fewer on the fine grids. The level change criteria is based on keeping the iteration error close to expected discretization error. To decrease the running time, the iteration on each new level starts with the best approximation from the previous level. Numerical results supporting the efficiency of the algorithms are presented for the Stokes system. We use our general theory to introduce/review the ``saddle point least-squares'' method and relate it with the Bramble-Pasciak's least square approach. As a consequence, we design a least-squares iterative solver for the time harmonic Maxwell equations. This is joint work with Francisco Sayas, and Lu Shu.

Room Reservation Information

Room Number:MB114
Date:04 / 02 / 2013
Time:03:30pm - 04:30pm