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Two-dimensional model of electron collisions with molecules
 Ivánek, Richard ; Houfek, Karel (advisor) ; Čížek, Martin (referee)
In this master thesis we study convergence of selected iterative methods applied to linear systems originating from the finite element method, dis- crete variable representation and exterior complex scaling in the context of models of electron collisions with molecules. Benchmarks and comparisons with direct methods are made and convergence of methods is analyzed for a one-dimensional two-channel model and a more realistic two-dimensional model of four different molecular systems. Along the way, a review of the mentioned numerical methods and solvers is presented as well as a discussion of the sparsity patterns and numbers of non-zero elements of the used matrix representations. Finally, possible pathologies of preconditioners are shown.
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