On the Origins of Domain Decomposition Methods

Thu, 31/01
14:00
Professor Martin Gander (University of Geneva) Computational Mathematics and Applications Add to calendar Gibson Grd floor SR
Domain decomposition methods have been developed in various contexts, and with very different goals in mind. I will start my presentation with the historical inventions of the Schwarz method, the Schur methods and Waveform Relaxation. I will show for a simple model problem how all these domain decomposition methods function, give precise results for the model problem, and also explain the most general convergence results available currently for these methods. I will conclude with the parareal algorithm as a new variant for parallelization of evolution problems in the time direction.