An adjoint method in inverse problems of chromatography
| Autor: | Mårten Gulliksson, Patrik Forssén, Xiaoliang Cheng, Ye Zhang, Torgny Fornstedt, Guangliang Lin |
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| Rok vydání: | 2016 |
| Předmět: |
Chromatography
Applied Mathematics Computation Mathematical analysis General Engineering A domain Regularization algorithm 010103 numerical & computational mathematics Inverse problem 01 natural sciences Computer Science Applications 010101 applied mathematics Adsorption Regularization (physics) 0101 mathematics Convection–diffusion equation Inverse method Mathematics |
| Zdroj: | Inverse Problems in Science and Engineering. 25:1112-1137 |
| ISSN: | 1741-5985 1741-5977 |
| Popis: | 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 pr... |
| Databáze: | OpenAIRE |
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