The approximation neural-network method for solving nonlinear multi-criteria inverse problems of geophysics

Авторы: Shimelevich M.I., Obornev E.A., Obornev I.E., Rodionov E.A.
Сборник: Journal of Physics: Conference Series
Серия: International Conference «Marchuk Scientific Readings 2020» (MSR-2020), dedicated to the 95th anniversary of the birthday of RAS Academician Guri. I. Marchuk October 19 - 23, 2020, Akademgorodok, Novosibirsk, Russia
Том: 1715
Год издания: 2021
Место издания: IOP Publishing Ltd
Номер статьи: 012045
DOI: 10.1088/1742-6596/1715/1/012045
Аннотация: A multi-criteria inverse problem is reduced to a system of operator equations on compact sets. It is shown that some a posteriori error estimates of solutions of the multi-criteria problem decrease with an increasing number of the criteria used. The approximation neural-network method for solving the multi-criteria inverse problem is presented. An example of a numerical solution of the two-criterion problem of geoelectrics is given, and the a posteriori error estimates are calculated.
Добавил в систему: Оборнев Иван Евгеньевич

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