Adaptive finite element methods for PDE-constrained optimal control problems

We present a systematic approach to error control and mesh adaptation in the numerical solution of optimal control problems governed by partial differential equations. By the Lagrangian formalism the optimization problem is reformulated as a saddle-point boundary value problem which is discretized b...

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Bibliographic Details
Main Authors: Becker, Roland (Author) , Braack, Malte (Author) , Meidner, Dominik (Author) , Rannacher, Rolf (Author)
Format: Chapter/Article
Language:English
Published: 2007
In: Reactive flows, diffusion and transport
Year: 2007, Pages: 177-205
DOI:10.1007/978-3-540-28396-6_8
Online Access:Verlag, Volltext: http://dx.doi.org/10.1007/978-3-540-28396-6_8
Verlag, Volltext: https://link.springer.com/chapter/10.1007/978-3-540-28396-6_8
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Author Notes:R. Becker, M. Braack, D. Meidner, R. Rannacher, and B. Vexler