Premium
Model reduction for optimal control problems in field‐flow fractionation
Author(s) -
Stykel Tatjana,
Willbold Carina
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210346
Subject(s) - reduction (mathematics) , interpolation (computer graphics) , optimal control , flow (mathematics) , truncation (statistics) , advection , diffusion , model order reduction , fractionation , computer science , mathematics , mathematical optimization , mechanics , algorithm , chemistry , physics , chromatography , thermodynamics , animation , projection (relational algebra) , computer graphics (images) , geometry , machine learning
We discuss the application of model order reduction to optimal control problems governed by coupled systems of the Stokes‐Brinkman and advection‐diffusion equations. Such problems arise in field‐flow fractionation processes for the efficient and fast separation of particles of different size in microfluidic flows. Our approach is based on a combination of balanced truncation and tangential interpolation for model reduction of the semidiscretized optimality system. Numerical results demonstrate the properties of this approach. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)