Porovnání různých strategií výběru rožních uzlů a efektivní implementace řešení hrubého problému metody FETI-DP

Abstract

This thesis deals with comparison of various corners placement and various ways of an implementation of the coarse problem solution in one of the most successful classes of methods called the domain decomposition methods.It leads from the Poisson equation through its weak formulation, the Galerkin method and the finite element method to the domain decomposition method FETI-DP. It shows its parallel implementation as well as numerical experiments with corners placement strategies and various ways of implementation of the coarse problem solution, that arises during computation. This work also contains few simple examples and several benchmarks, that illustrate the behaviour of the method FETI-DP under various corners selection strategies and mainly pros and cons of various ways of implementation of the coarse problem solution.