This book presents a modern introduction of pde constrained optimization. It provides a precise functional analytic treatment via optimality conditions anda 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 pointwise boundson 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 Concise functional analytic setting for pde constrained optimization problems Modern infinite-dimensional tailored algorithmical framework Structure exploiting, problem adapted discrete treatment of pdes and constraints Challenging applications INDICE: Acknowledgements.- 1 Analytical Background and Optimality Theory.-2 OptimizationMethods in Banach Spaces.- 3 Discrete concepts.- 4 Applications.- References.
- ISBN: 978-1-4020-8838-4
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 230
- Fecha Publicación: 01/10/2008
- Nº Volúmenes: 1
- Idioma: Inglés