Optimization of the shape (and topology) of the initial conditions for diffusion parameter identification

DOI10.1016/j.camwa.2019.01.025zbMath1442.49050arXiv1602.03357OpenAlexW2964038581WikidataQ128360770 ScholiaQ128360770MaRDI QIDQ2204030

Stefan Kindermann, Štěpán Papáček

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03357

zbMATH Keywords

sensitivity analysisparameter identificationpartial differential equation (PDE)fluorescence recovery after photobleaching (FRAP)

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10)

Related Items (1)

Estimation of boundary condition of two-dimensional nonlinear PDE with application to continuous casting

Cites Work

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• 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
• Closed-form formulas vs. PDE based numerical solution for the FRAP data processing: theoretical and practical comparison
• Computing the norm ∥A∥∞,1 is NP-hard^∗

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