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.
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Acknowledgments
The algorithm development was supported by the Russian Science Foundation project 17-71-10184. Vectorization and optimization of the codes were implemented with the support of the Ministry of education and science of the Russian Federation (4.1.3 Joint laboratories of NSU-NSC SB RAS). Siberian Supercomputer Center is gratefully acknowledged for providing the supercomputer facilities.
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Penenko, A., Penenko, V., Tsvetova, E., Mukatova, Z. (2019). Consistent Discrete-Analytical Schemes for the Solution of the Inverse Source Problems for Atmospheric Chemistry Models with Image-Type Measurement Data. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods. Theory and Applications. FDM 2018. Lecture Notes in Computer Science(), vol 11386. Springer, Cham. https://doi.org/10.1007/978-3-030-11539-5_43
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DOI: https://doi.org/10.1007/978-3-030-11539-5_43
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