Introduction to Domain Decomposition Method - [2] Finite Element Method and Domain Decomposition Method

摘要

This is the second article of a serial in four installments of an introduction on domain decomposition method for finite element analysis. We give here a rather theoretical discussion on domain decomposition method. There are two types of domain decomposition: one allows overlap of domain, whereas in the other two domains only have common boundary. The latter is an iterative substructuring method which is predominantly used in parallel structural analysis. From a theoretical point of view, regardless of overlap of domain, domain decomposition method can be viewed as a preconditioning for a large scale linear equation.