International Series of Numerical Mathematics

Domain Decomposition Methods in Optimal Control of Partial Differential Equations

Authors: Lagnese, John, Leugering, Günter

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About this book

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.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-3-0348-7885-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-7643-2194-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA in USD
  • ISBN 978-3-0348-9610-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Domain Decomposition Methods in Optimal Control of Partial Differential Equations
Authors
Series Title
International Series of Numerical Mathematics
Series Volume
148
Copyright
2004
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-0348-7885-2
DOI
10.1007/978-3-0348-7885-2
Hardcover ISBN
978-3-7643-2194-9
Softcover ISBN
978-3-0348-9610-8
Series ISSN
0373-3149
Edition Number
1
Number of Pages
XIII, 443
Topics