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Reduced-Order Modeling and ROM-Based Optimization of Batch Chromatography

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 103))

Abstract

A reduced basis method is applied to batch chromatography and the underlying optimization problem is solved efficiently based on the resulting reduced model. A technique of adaptive snapshot selection is proposed to reduce the complexity and runtime of generating the reduced basis. With the help of an output-oriented error bound, the construction of the reduced model is managed automatically. Numerical examples demonstrate the performance of the adaptive technique in reducing the offline time. The ROM-based optimization is successful in terms of the accuracy and the runtime for getting the optimal solution.

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Correspondence to Yongjin Zhang .

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© 2015 Springer International Publishing Switzerland

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Benner, P., Feng, L., Li, S., Zhang, Y. (2015). Reduced-Order Modeling and ROM-Based Optimization of Batch Chromatography. In: Abdulle, A., Deparis, S., Kressner, D., Nobile, F., Picasso, M. (eds) Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-319-10705-9_42

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