Sensitivity Analysis of the Data Assimilation-Driven Decomposition in Space and Time to Solve PDE-Constrained Optimization Problems

This paper is presented in the context of sensitivity analysis (SA) of large-scale data assimilation (DA) models. We studied consistency, convergence, stability and roundoff error propagation of the reduced-space optimization technique arising in parallel 4D Variational DA problems. The results are...

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Bibliographic Details
Main Authors: Luisa D’Amore, Rosalba Cacciapuoti
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/6/541