A regularizing Kohn–Vogelius formulation for the model-free adsorption isotherm estimation problem in chromatography

DOI10.1080/00036811.2017.1284311zbMath1446.65051OpenAlexW2584978297WikidataQ58301435 ScholiaQ58301435MaRDI QIDQ4638877

Ye Zhang, Patrik Forssén, Torgny Fornstedt, Xiao-liang Cheng, Guangliang Lin, Mårten Gulliksson

Publication date: 2 May 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1284311

zbMATH Keywords

inverse problemconvergence rateadsorption isothermchromatographyKohn-Vogelius method

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (8)

Features of numerical reconstruction of a boundary condition in an inverse problem for a reaction-diffusion-advection equation with data on the position of a reaction front ⋮ Numerical simulation of front dynamics in a nonlinear singularly perturbed reaction-diffusion problem ⋮ A coupled complex boundary expanding compacts method for inverse source problems ⋮ A statistical approach to estimating adsorption-isotherm parameters in gradient-elution preparative liquid chromatography ⋮ Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm ⋮ On the features of numerical solution of coefficient inverse problems for nonlinear equations of the reaction-diffusion-advection type with data of various types ⋮ Estimating adsorption isotherm parameters in chromatography via a virtual injection promoting double feed-forward neural network ⋮ Convergence analysis for forward and inverse problems in singularly perturbed time-dependent reaction-advection-diffusion equations

Cites Work

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• Introduction to sensitivity and stability analysis in nonlinear programming
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• A regularization method for the reconstruction of adsorption isotherms in liquid chromatography
• Determining conductivity by boundary measurements
• Identification of a Temperature Dependent Heat Conductivity from Single Boundary Measurements
• Computational Methods for Inverse Problems
• Morozov's discrepancy principle for Tikhonov-type functionals with nonlinear operators
• An adjoint method in inverse problems of chromatography

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