عنوان

Domain Decomposition Methods in Optimal Control of Partial Differential Equations

شابک

9783034878852

شابک

9783034896108

شماره

b406248

عنوان اصلي

Domain Decomposition Methods in Optimal Control of Partial Differential Equations

نام عام مواد

[Book]

نام نخستين پديدآور

by John E. Lagnese, Günter Leugering.

محل نشرو پخش و غیره

Basel :

نام ناشر، پخش کننده و غيره

Imprint: Birkhäuser,

تاریخ نشرو بخش و غیره

2004.

عنوان فروست

ISNM International Series of Numerical Mathematics ;

مشخصه جلد

148

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

This monograph considers problems of optimal control for partial differential equa tions 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. 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. A keyword in this context is parallelism. This development is perhaps best illustrated by the fact that we just encountered the 15th annual conference precisely on this topic. Without attempting to provide a complete list of introductory references let us just mention the monograph by Quarteroni and Valli [91] as a general up-to-date reference on domain decomposition methods for partial differential equations. The emphasis of this monograph is to put domain decomposition methods in the context of so-called virtual optimal control problems and, more importantly, to treat optimal control problems for partial differential equations and their decom positions by an all-at-once approach. This means that we are mainly interested in decomposition techniques which can be interpreted as virtual optimal control problems and which, together with the real control problem coming from an un derlying application, lead to a sequence of individual optimal control problems on the subdomains that are iteratively decoupled across the interfaces.

شماره استاندارد بين المللي کتاب و موسيقي

9783034896108

عنوان

Springer eBooks

موضوع مستند نشده

Engineering.

موضوع مستند نشده

Mathematical optimization.

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Lagnese, John E.

مستند نام اشخاص تاييد نشده

Leugering, Günter.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301080900.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y