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A Direct Method for Parabolic PDE Constrained Optimization ProblemsOne-shot one-step methods and their limitations

A Direct Method for Parabolic PDE Constrained Optimization Problems: One-shot one-step methods... [We want to address the basic question if the results of Chapter 6 for the convergence of the Newton-Picard LISA can be extended to general one-shot one-step methods. We shall explain this class of problems and see that in the general case no such result as Theorem 6.7 for the model problem (6.1) is possible. For completeness we quote large passages of the article Bock et al. [28] with modifications concerning references to other parts of this thesis.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Direct Method for Parabolic PDE Constrained Optimization ProblemsOne-shot one-step methods and their limitations

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Publisher
Springer Fachmedien Wiesbaden
Copyright
© Springer Fachmedien Wiesbaden 2014
ISBN
978-3-658-04475-6
Pages
99 –110
DOI
10.1007/978-3-658-04476-3_7
Publisher site
See Chapter on Publisher Site

Abstract

[We want to address the basic question if the results of Chapter 6 for the convergence of the Newton-Picard LISA can be extended to general one-shot one-step methods. We shall explain this class of problems and see that in the general case no such result as Theorem 6.7 for the model problem (6.1) is possible. For completeness we quote large passages of the article Bock et al. [28] with modifications concerning references to other parts of this thesis.]

Published: Nov 30, 2013

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