Domain Decomposition Methods in Optimal Control of Partial Differential EquationsAuthor: John E. Lagnese, Günter Leugering Published by Birkhäuser Basel ISBN: 978-3-0348-9610-8 DOI: 10.1007/978-3-0348-7885-2Table of Contents:Introduction Background Material on Domain Decomposition Partial Differential Equations on Graphs Domain Decomposition for Elliptic Optimal Control Problems Optimal Control of One-Dimensional Partial Differential Equations on Graphs Domain Decomposition in Optimal Final Value Control of Dissipative Wave Equations Domain Decomposition in Optimal Final Value Boundary Control of Maxwell’s System Optimal Final Value Boundary Control of Conservative Wave Equations Domain Decomposition for Distributed Parameter Systems on 2-D Networks, Preface -- 1. Introduction -- 2. Background Material on Domain Decomposition -- 3. Partial Differential Equations on Graphs -- 4. Optimal Control of Elliptic Problems -- 5. Control of Partial Differential Equations on Graphs -- 6. Control of Dissipative Wave Equations -- 7. Boundary Control of Maxwell's System -- 8. Control of Conservative Wave Equations -- 9. Domain Decomposition for 2D-Networks -- Bibliography -- Index, 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