Optimal distributed control of nonlinear Cahn–Hilliard systems with computational realization

The goal of this work is to present some optimal control aspects of distributed systems described by nonlinear Cahn–Hilliard equations (CH). Theoretical conclusions on distributed control of CH system associated with quadratic criteria are obtained by the variational theory (see [ 17 ]). A computati...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 177; no. 3; pp. 440 - 458
Main Author Wang, Quan-Fang
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.09.2011
Springer
Subjects
Mathematics
Mathematics and Statistics
Conjugate Gradient Method
Contour Plot
Optimal Control Problem
Weak Solution
Cost Function
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Summary:The goal of this work is to present some optimal control aspects of distributed systems described by nonlinear Cahn–Hilliard equations (CH). Theoretical conclusions on distributed control of CH system associated with quadratic criteria are obtained by the variational theory (see [ 17 ]). A computational result is stated by a new semi-discrete algorithm, constructed on the basis of the finite-element method with the updated (nonlinear) conjugate gradient method for minimizing the performance index efficiently. Finally, the implementation of a laboratory demonstration is included to show the efficiency of the proposed nonlinear scheme.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-011-0470-z