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Michal Outrata

Postdoctoral Associate
Picture of Michal Outrata
Data & Decision Sciences
Virginia Tech
727 Prices Fork Road
Blacksburg, VA 24061-1026

I am mainly interested in understanding how various solution processes work and interact, both one with each other and with different aspects of the problem we are interested in. I have mostly focused on PDEs and problems arising from their discretization on one hand and on the domain decomposition methods and (preconditioned) Krylov methods on the other. This is easiest to do for test problems, such as the Poison problem or the heat equation, for which a deeper understanding of the used numerical method - domain decomposition, Krylov or others - is possible. This includes, e.g., (optimized) interface conditions for Schwarz methods and effect of the mesh on their quality or new types of preconditioners for the problems resulting from implicit Runge-Kutta methods. The insight gained this way allows us to use these more efficiently or propose new improvements.