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A regularizing Kohn-Vogelius formulation for the model-free adsorption isotherm estimation problem in chromatography
Zhejiang Univ, China.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Engineering and Chemical Sciences (from 2013). Örebro universitet.
Zhejiang Univ, China.
Örebro universitet.
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2018 (English)In: Applicable Analysis, ISSN 0003-6811, E-ISSN 1563-504X, Vol. 97, no 1, p. 13-40Article in journal (Refereed) Published
Abstract [en]

Competitive adsorption isotherms must be estimated in order to simulate and optimize modern continuous modes of chromatography in situations where experimental trial-and-error approaches are too complex and expensive. The inverse method is a numeric approach for the fast estimation of adsorption isotherms directly from overloaded elution profiles. However, this identification process is usually ill-posed. Moreover, traditional model-based inverse methods are restricted by the need to choose an appropriate adsorption isotherm model prior to estimate, which might be very hard for complicated adsorption behavior. In this study, we develop a Kohn-Vogelius formulation for the model-free adsorption isotherm estimation problem. The solvability and convergence for the proposed inverse method are studied. In particular, using a problem-adapted adjoint, we obtain a convergence rate under substantially weaker and more realistic conditions than are required by the general theory. Based on the adjoint technique, a numerical algorithm for solving the proposed optimization problem is developed. Numerical tests for both synthetic and real-world problems are given to show the efficiency of the proposed regularization method.

Place, publisher, year, edition, pages
2018. Vol. 97, no 1, p. 13-40
National Category
Chemical Sciences Geophysics Analytical Chemistry
Research subject
Chemistry; Physics
Identifiers
URN: urn:nbn:se:kau:diva-65938DOI: 10.1080/00036811.2017.1284311ISI: 000417831700003OAI: oai:DiVA.org:kau-65938DiVA, id: diva2:1177659
Available from: 2018-01-25 Created: 2018-01-25 Last updated: 2018-06-29Bibliographically approved

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Forssén, PatrikFornstedt, Torgny

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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