While domain decomposition methods have a long history dating back well
over one hundred years, it is only during the last decade that they
have
become a major tool in numerical analysis of partial differential
equations.
This monograph considers problems of optimal control for partial
differential equations of elliptic and, more importantly, of hyperbolic
types on networked domains. The main goal is to describe, develop and
analyze iterative space and time domain decompositions of such problems
on the infinite dimensional level.