Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables

We introduce a technique for the dimension reduction of a class of PDE constrained optimization problems governed by linear time dependent advection diffusion equations for which the optimization variables are related to spatially localized quantities. Our approach uses domain decomposition applied...

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Vydané v:	Computing and visualization in science Ročník 13; číslo 6; s. 249 - 264
Hlavní autori:	Antil, Harbir, Heinkenschloss, Matthias, Hoppe, Ronald H. W., Sorensen, Danny C.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer-Verlag 01.08.2010 Springer
Predmet:	Algorithms Applied sciences Calculus of Variations and Optimal Control; Optimization Computational Mathematics and Numerical Analysis Computer Applications in Chemistry Computer science; control theory; systems Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Mathematics Mathematics and Statistics Numerical Analysis Physics Regular Article Software Software engineering Solid mechanics Structural and continuum mechanics Turbulence simulation and modeling Turbulent flows, convection, and heat transfer Visualization Model reduction Domain decomposition Optimal control Shape optimization Geometrical shape Software development Error estimation Linear time Advection diffusion equation Substructure Modeling Constrained optimization Truncation Time dependence Dimension reduction Reduced order systems Coupling Optimal control (mathematics) Mathematical programming
ISSN:	1432-9360, 1433-0369
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