Buch, Englisch, 443 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 698 g
Buch, Englisch, 443 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 698 g
Reihe: International Series of Numerical Mathematics
ISBN: 978-3-0348-9610-8
Verlag: Birkhäuser Basel
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 emphasizes domain decomposition methods in the context of so-called virtual optimal control problems and treats optimal control problems for partial differential equations and their decompositions using an all-at-once approach.
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Weitere Infos & Material
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 Maxwell’s 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.
