Numerical PDE-Constrained Optimization

Juan Carlos De los Reyes (Autor)

Buch | Softcover

X, 123 Seiten

2015 | 2015
Springer International Publishing (Verlag)
978-3-319-13394-2 (ISBN)

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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.

Juan Carlos De los Reyes is a Director of the Research Center on Mathematical Modelling (MODEMAT), and Professor of Optimization and Control at Escuela Politecnica Nacional.

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.

Erscheint lt. Verlag	5.3.2015
Reihe/Serie	SpringerBriefs in Optimization
Zusatzinfo	X, 123 p. 13 illus., 2 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	219 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Numerical optimization • optimal control • Optimality conditions • Optimization Methods • Partial differential equations • PDE-constrained optimization
ISBN-10	3-319-13394-2 / 3319133942
ISBN-13	978-3-319-13394-2 / 9783319133942
Zustand	Neuware