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Numerical PDE-Constrained Optimization / by Juan Carlos De los Reyes.
Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online
View online- Format:
- Book
- Author/Creator:
- Reyes, Juan Carlos de los, Author.
- Series:
- SpringerBriefs in Optimization, 2191-575X
- Language:
- English
- Subjects (All):
- Mathematical optimization.
- Differential equations.
- Numerical analysis.
- Optimization.
- Differential Equations.
- Numerical Analysis.
- Local Subjects:
- Optimization.
- Differential Equations.
- Numerical Analysis.
- Physical Description:
- 1 online resource (129 p.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2015.
- Language Note:
- English
- Summary:
- This book introduces, in an accessible way, the basic elements of Numerical PDE-Constrained Optimization, from the derivation of optimality conditions to the design of solution algorithms. Numerical optimization methods in function-spaces and their application to PDE-constrained problems are carefully presented. The developed results are illustrated with several examples, including linear and nonlinear ones. In addition, MATLAB codes, for representative problems, are included. Furthermore, recent results in the emerging field of nonsmooth numerical PDE constrained optimization are also covered. The book provides an overview on the derivation of optimality conditions and on some solution algorithms for problems involving bound constraints, state-constraints, sparse cost functionals and variational inequality constraints.
- Contents:
- Introduction
- Basic Theory of Partial Differential Equations and Their Discretization
- Theory of PDE-constrained Optimization
- Numerical Optimization Methods
- Box-constrained Problems
- Nonsmooth PDE-constrained Optimization.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 3-319-13395-0
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