Adaptive Finite Element Methods: Optimal Control Governed by PDEs
Adaptive Finite Element Methods: Optimal Control Governed by PDEs (Hardcover) Book Details:
Book Title: | Adaptive Finite Element Methods: Optimal Control Governed by PDEs |
Author: | Wenbin Liu |
ISBN-13: | 9781842657157 |
Publication: | NA |
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Adaptive Finite Element Methods: Optimal Control Governed by PDEs Book Information:
TE ELEMENT METHODS: Optimal Control Governed by PDEs emphasizes the discussions of some unique issues from the adaptive finite element approximation of optimal control. The main idea used in the approximation error analysis (both a priori and a posteriori) is to first combine convex analysis and interpolation error estimations of suitable interpolators, which depend on the structure of the control constraints, to derive the error estimates for the control via the variational inequalities in the optimality conditions, and then to apply the standard techniques to derive the error estimates for the state equations. The need, the framework and the techniques of using multi adaptive meshes in developing efficient numerical algorithms for optimal control have been emphasized throughout the book. The book starts from several typical examples of optimal control problems and then discusses existence and optimality conditions for some optimal control problems. Then the finite element approximation schemes for several typical optimal control problems are set up, their a priori and a posteriori error estimates are derived following the main idea mentioned, and their computational methods are studied.
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Higher Education Textbooks
Hardcover
English
Page count varies on each edition/reprint
2012
Textbooks & Study Guides, Higher Education Textbooks Book is recommended for Students, Teachers, Graduates, Professionals, and all bibliophiles
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