Author | Lagnese, John E. author |
---|---|
Title | Domain Decomposition Methods in Optimal Control of Partial Differential Equations [electronic resource] / by John E. Lagnese, Gรผnter Leugering |
Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2004 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7885-2 |
Descript | XIII, 443 p. online resource |
1 Introduction -- 2 Background Material on Domain Decomposition -- 2.1 Introduction -- 2.2 Domain Decomposition for 1-d Problems -- 2.3 Domain Decomposition Methods for Elliptic Problems -- 3 Partial Differential Equations on Graphs -- 3.1 Introduction -- 3.2 Partial Differential Operators on Graphs -- 3.3 Elliptic Problems on Graphs -- 3.4 Hyperbolic Problems on Graphs -- 4 Optimal Control of Elliptic Problems -- 4.1 Introduction -- 4.2 Distributed Controls -- 4.3 Boundary Controls -- 5 Control of Partial Differential Equations on Graphs -- 5.1 Introduction -- 5.2 Elliptic Problems -- 5.3 Hyperbolic Problems -- 6 Control of Dissipative Wave Equations -- 6.1 Introduction -- 6.2 Optimal Dissipative Boundary Control -- 6.3 Time Domain Decomposition -- 6.4 Decomposition of the Spatial Domain -- 6.5 Space and Time Domain Decomposition -- 7 Boundary Control of Maxwellโs System -- 7.1 Introduction -- 7.2 Optimal Dissipative Boundary Control -- 7.3 Time Domain Decomposition -- 7.4 Decomposition of the Spatial Domain -- 7.5 Time and Space Domain Decomposition -- 8 Control of Conservative Wave Equations -- 8.1 Introduction -- 8.2 Optimal Boundary Control -- 8.3 Time Domain Decomposition -- 8.4 Decomposition of the Spatial Domain -- 8.5 The Exact Reachability Problem -- 9 Domain Decomposition for 2-D Networks -- 9.1 Elliptic Systems on 2-D Networks -- 9.2 Optimal Control on 2-D Networks -- 9.3 Decomposition of the Spatial Domain