An adaptive regularization algorithm for recovering the rate constant distribution from biosensor data

DOI10.1080/17415977.2017.1411912zbMath1428.65037OpenAlexW2772832641MaRDI QIDQ5240394

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Publication date: 25 October 2019

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2017.1411912

zbMATH Keywords

inverse problemregularizationa posteriori error estimationadaptive finite elementrate constant distribution

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Chemically reacting flows (80A32) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fredholm integral equations (45B05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Numerical methods for variational inequalities and related problems (65K15)

Related Items (5)

Stochastic asymptotical regularization for linear inverse problems ⋮ Stochastic linear regularization methods: random discrepancy principle and applications ⋮ Two new non-negativity preserving iterative regularization methods for ill-posed inverse problems ⋮ Estimating the rate constant from biosensor data via an adaptive variational Bayesian approach ⋮ Estimating adsorption isotherm parameters in chromatography via a virtual injection promoting double feed-forward neural network

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• Mesh Refinement Processes Based on the Generalized Bisection of Simplices
• Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization

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