Domain Decomposition Methods in Optimal Control of Partial Differential Equations
By: by John E. Lagnese, Günter Leugering
Contributors: Leugering, Günter
Series: ISNM International Series of Numerical Mathematics -- 148
Publisher: Birkhäuser Basel; Imprint: Birkhäuser
Published: 2004
Place of publication: Basel
Language: eng
Format: [electronic resource] /
Number of pages: 443
ISBN-13: 9783034896108; 9783034878852
Subjects: Mathematics; Mathematical optimization; Engineering
Description: 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 considers problems of optimal control for partial differential equations 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.
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Table of contents: title: Preface; title: 1. Introduction; title: 2. Background Material on Domain Decomposition; title: 3. Partial Differential Equations on Graphs; title: 4. Optimal Control of Elliptic Problems; title: 5. Control of Partial Differential Equations on Graphs; title: 6. Control of Dissipative Wave Equations; title: 7. Boundary Control of Maxwell's System; title: 8. Control of Conservative Wave Equations; title: 9. Domain Decomposition for 2D-Networks; title: Bibliography; title: Index.