Sensitivity Analysis of Domain Decomposition method for 4D Variational Data Assimilation (DD-4DVAR DA)
Luisa D'Amore, Rosalba Cacciapuoti
TL;DR
This paper analyzes the stability, convergence, and consistency of a domain decomposition method applied to 4DVAR data assimilation, introducing a condition number and validating findings with numerical experiments.
Contribution
It provides the first rigorous theoretical analysis of the DD-4DVAR DA method, including stability, convergence, and the role of the condition number.
Findings
Proves stability, convergence, and consistency of DD-4DVAR DA
Introduces and analyzes the condition number of the problem
Validates theoretical results through numerical experiments
Abstract
We prove consistence, convergence and stability of the Domain Decomposition in space and time method of 4DVAR Data Assimilation problem. We introduce the condition number of the problem and validate the theoretical analysis through numerical results
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Taxonomy
TopicsMeteorological Phenomena and Simulations · Precipitation Measurement and Analysis · Image and Signal Denoising Methods