On the connection and equivalence of two methods for solving an ill-posed inverse problem based on FRAP data

DOI10.1016/j.cam.2015.05.028zbMath1321.65145OpenAlexW767321030MaRDI QIDQ492119

Štěpán Papáček, Ctirad Matonoha

Publication date: 19 August 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.05.028

zbMATH Keywords

numerical exampleinverse problemparameter identificationTikhonov regularizationill-posed problemMorozov's discrepancy principleL-curveFRAP measurementleast squares with a quadratic constraint

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) 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)

Related Items (2)

Closed-form formulas vs. PDE based numerical solution for the FRAP data processing: theoretical and practical comparison ⋮ Remote sensing images destriping using unidirectional hybrid total variation and nonconvex low-rank regularization

Uses Software

• Regularization tools
• UFO
• UTV

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On data space selection and data processing for parameter identification in a reaction-diffusion model based on FRAP experiments
• Estimation of diffusivity of phycobilisomes on thylakoid membrane based on spatio-temporal FRAP images
• Practical Optimization
• Rank-Deficient and Discrete Ill-Posed Problems
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems

This page was built for publication: On the connection and equivalence of two methods for solving an ill-posed inverse problem based on FRAP data