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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2016, Volume 19, Number 4, Pages 401–418
DOI: https://doi.org/10.15372/SJNM20160405
(Mi sjvm626)
 

This article is cited in 13 scientific papers (total in 13 papers)

Sequential data assimilation algorithms in air quality monitoring models based on weak-constraint variational principle

A. V. Penenko, V. V. Penenko, E. A. Tsvetova

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev pr., Novosibirsk, 630090, Russia
References:
Abstract: Data assimilation problem for non-stationary model is considered as a sequence of the linked inverse problems which reconstruct, taking into account the different sets of measurement data, the space-time structure of the state functions. Data assimilation is carried out together with the identification of additional unknown function, which we interpret as a function of model uncertainty. The variational principle serves as a basis for constructing algorithms. Different versions of the algorithms are presented and analyzed. Based on the discrepancy principle, a computationally efficient algorithm for data assimilation in a locally one-dimensional case is constructed. The theoretical estimation of its performance is obtained. This algorithm is one of the core components of the data assimilation system in the frames of splitting scheme for the non-stationary three-dimensional transport and transformation models of atmospheric chemistry.
Key words: data assimilation, variational principle, weak-constraint, direct and inverse problems, model as regularizer, sequential algorithms.
Received: 04.12.2015
Revised: 30.05.2016
English version:
Numerical Analysis and Applications, 2016, Volume 9, Issue 4, Pages 312–325
DOI: https://doi.org/10.1134/S1995423916040054
Bibliographic databases:
Document Type: Article
UDC: 517.972.7+519.6
Language: Russian
Citation: A. V. Penenko, V. V. Penenko, E. A. Tsvetova, “Sequential data assimilation algorithms in air quality monitoring models based on weak-constraint variational principle”, Sib. Zh. Vychisl. Mat., 19:4 (2016), 401–418; Num. Anal. Appl., 9:4 (2016), 312–325
Citation in format AMSBIB
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  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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