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An adjoint method in inverse problems of chromatography
Orebro Univ, Sch Sci & Technol, Dept Math, Orebro, Sweden.;Karlstad Univ, Dept Engn & Chem Sci, Karlstad, Sweden..
Zhejiang Univ, Dept Math, Hangzhou, Zhejiang, Peoples R China..
Orebro Univ, Sch Sci & Technol, Dept Math, Orebro, Sweden..
Karlstad Univ, Dept Engn & Chem Sci, Karlstad, Sweden..
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2017 (English)In: Inverse Problems in Science and Engineering, ISSN 1741-5977, E-ISSN 1741-5985, Vol. 25, no 8, 1112-1137 p.Article in journal (Refereed) Published
Abstract [en]

How to determine adsorption isotherms is an issue of significant importance in chromatography. A modern technique of obtaining adsorption isotherms is to solve an inverse problem so that the simulated batch separation coincides with actual experimental results. In this work, as well as the natural least-square approach, we consider a Kohn-Vogelius type formulation for the reconstruction of adsorption isotherms in chromatography, which converts the original boundary fitting problem into a domain fitting problem. Moreover, using the first momentum regularizing strategy, a new regularization algorithm for both the Equilibrium-Dispersive model and the Transport-Dispersive model is developed. The mass transfer resistance coefficients in the Transport-Dispersive model are also estimated by the proposed inverse method. The computation of the gradients of objective functions for both of the two models is derived by the adjoint method. Finally, numerical simulations for both a synthetic problem and a real-world problem are given to show the robustness of the proposed algorithm.

Place, publisher, year, edition, pages
TAYLOR & FRANCIS LTD , 2017. Vol. 25, no 8, 1112-1137 p.
Keyword [en]
Chromatography, adsorption isotherm, inverse problem, regularization, convection-diffusion equation, adjoint method
Identifiers
URN: urn:nbn:se:kau:diva-65526DOI: 10.1080/17415977.2016.1222528ISI: 000401246500002OAI: oai:DiVA.org:kau-65526DiVA: diva2:1170814
Available from: 2018-01-04 Created: 2018-01-04 Last updated: 2018-01-04

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