Paralelní implementace řešení modelové lineární úlohy metodou FETI-DP

Abstract

This thesis deals with the parallel solution of partial differential equation by one of the most successful classes of methods called domain decomposition method. It leads from Poisson equation through its weak formulation, Galerkin method and finite element method to domain decomposition method FETI-DP. It shows its parallel implementation as well as numerical experiments with parallel and numerical scalability and corner choosing strategy. This work also contains few simple examples and several benchmarks that illustrate the behaviour of the method, mainly its parallel and numerical scalabilities.