书目名称 | Domain Decomposition Methods in Optimal Control of Partial Differential Equations | 编辑 | John E. Lagnese,Günter Leugering | 视频video | | 概述 | Emphasis 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 | 丛书名称 | International Series of Numerical Mathematics | 图书封面 |  | 描述 | 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 position | 出版日期 | Book 2004 | 关键词 | Optimal control; Partial differential equations; control; history; network; partial differential equation | 版次 | 1 | doi | https://doi.org/10.1007/978-3-0348-7885-2 | isbn_softcover | 978-3-0348-9610-8 | isbn_ebook | 978-3-0348-7885-2Series ISSN 0373-3149 Series E-ISSN 2296-6072 | issn_series | 0373-3149 | copyright | Birkhäuser Basel 2004 |
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