Consistent Discrete-Analytical Schemes for the Solution of the Inverse Source Problems for Atmospheric Chemistry Models with Image-Type Measurement Data

Alexey Penenko, Vladimir Penenko, Elena Tsvetova, Zhadyra Mukatova

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

2 Citations (Scopus)

Abstract

The inverse source problems for nonlinear chemical transport models with image-type measurement data are considered. The use of the sensitivity operators, constructed of the ensemble of adjoint problem solutions, allows transforming the inverse problems stated as the systems of nonlinear ODE or PDE to a family of operator equations depending on the given set of functions in the space of measurement results. In the paper, the set of consistent discrete analytical schemes for 1D diffusion-reaction model is presented. The operator equations are solved with the relevant methods for nonlinear operator equations.

Original languageEnglish
Title of host publicationFinite Difference Methods. Theory and Applications - 7th International Conference, FDM 2018, Revised Selected Papers
EditorsIstván Faragó, Ivan Dimov, Lubin Vulkov
PublisherSpringer-Verlag GmbH and Co. KG
Pages378-386
Number of pages9
ISBN (Print)9783030115388
DOIs
Publication statusPublished - 1 Jan 2019
Event7th International Conference on Finite Difference Methods, FDM 2018 - Lozenetz, Bulgaria
Duration: 11 Jun 201816 Jun 2018

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11386 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference7th International Conference on Finite Difference Methods, FDM 2018
CountryBulgaria
CityLozenetz
Period11.06.201816.06.2018

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