Optimization with PDE constraints
Series: Mathematical modelling: theory and applications, v. 23Publication details: New York Springer Science+Business Media 2009 Description: xi, 270 pISBN:- 9781402088384
- 515.353
Item type | Current library | Item location | Shelving location | Call number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
Books | Vikram Sarabhai Library | Rack 28-A / Slot 1376 (0 Floor, East Wing) | General Stacks | 515.353 H4O7 (Browse shelf(Opens below)) | Available | 167013 |
This book presents a modern introduction of pde constrained optimization. It provides a precise functional analytic treatment via optimality conditions and a state-of-the-art, non-smooth algorithmical framework. Furthermore, new structure-exploiting discrete concepts and large scale, practically relevant applications are presented. The main focus is on the algorithmical and numerical treatment of PDE constrained optimization problems on the infinite dimensional level. A particular emphasis is on simple constraints, such as point wise bounds on controls and states. For these practically important situations, tailored Newton- and SQP-type solution algorithms are proposed and a general convergence framework is developed. This is complemented with the numerical analysis of structure-preserving Galerkin schemes for optimization problems with elliptic and parabolic equations. Finally, along with the optimization of semiconductor devices and the optimization of glass cooling processes, two challenging applications of PDE constrained optimization are presented. They demonstrate the scope of this emerging research field for future engineering applications. (Source: www.springer.com)
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