Department of Mechanics:Current events

Interesting seminars and presentations

• 27.11.2013, 14:00, meeting room B-365, Thákurova 7, Prague 6

Petr Vaněk (University of West Bohemia, Pilsen, Czech Republic): Non-linear multigrid with evolving coarse-space: the algorithm and the first steps in the theory

We propose a new non-linear multigrid that is a kind of exact approximation scheme. To solve non-linear problems, we add the current approximation vector as a column of the prolongator. This construction guarantees that the current approximation is present in the coarse-space. Thus, in the limit, the coarse-space contains the exact solution. We apply our method to the generalized eigenvalue problem and show very promising numerical results. We discuss shortly the issue of convergence theory that is currently in progress.