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Sensitivity Analysis of Domain Decomposition method for 4D Variational Data Assimilation (DD-4DVAR DA)

Numerical Analysis 2021-12-14 v2 Numerical Analysis
Authors: Luisa D'Amore , Rosalba Cacciapuoti
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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

Keywords

dynamic mode decomposition

Cite

@article{arxiv.2112.05529,
  title  = {Sensitivity Analysis of Domain Decomposition method for 4D Variational Data Assimilation (DD-4DVAR DA)},
  author = {Luisa D'Amore and Rosalba Cacciapuoti},
  journal= {arXiv preprint arXiv:2112.05529},
  year   = {2021}
}

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