Párování metody parareal s metodami rozložení oblasti

Abstract

This master thesis will discuss coupled parareal and Schwarz method allowing effective parallelization of problems in space-time domain. Thesis studies numerical solution of transient heat conduction problem. The numerical solution is bnased on the finite elements semi-semidiscretization in space domain, wich leads to system of ordinary differential equations. We will first introduce parareal method for parallelization in only time domain. Then we discuss Schwarz method for parallelization in space domain. Finally, we will show how both methods can be coupled for effective parallelization in time-space domain.