TY - BOOK ID - 14296027 TI - Optimization with PDE constraints PY - 2009 SN - 1402088388 9048180031 1402088396 PB - Dordrecht : Springer, DB - UniCat KW - Constrained optimization. KW - Differential equations, Partial. KW - Mathematical models. KW - Civil & Environmental Engineering KW - Engineering & Applied Sciences KW - Operations Research KW - Mathematics KW - Physical Sciences & Mathematics KW - Calculus KW - Partial differential equations KW - Mathematics. KW - Mathematical analysis. KW - Analysis (Mathematics). KW - Numerical analysis. KW - Calculus of variations. KW - Calculus of Variations and Optimal Control; Optimization. KW - Analysis. KW - Numerical Analysis. KW - Isoperimetrical problems KW - Variations, Calculus of KW - Maxima and minima KW - Mathematical analysis KW - 517.1 Mathematical analysis KW - Math KW - Science KW - Mathematical optimization. KW - Global analysis (Mathematics). KW - Optimization (Mathematics) KW - Optimization techniques KW - Optimization theory KW - Systems optimization KW - Operations research KW - Simulation methods KW - System analysis KW - Analysis, Global (Mathematics) KW - Differential topology KW - Functions of complex variables KW - Geometry, Algebraic UR - https://www.unicat.be/uniCat?func=search&query=sysid:14296027 AB - 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 pointwise 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. ER -