The approximation neural-network method for solving nonlinear multi-criteria inverse problems of geophysics
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Published:2021-01-01
Issue:1
Volume:1715
Page:012045
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ISSN:1742-6588
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Container-title:Journal of Physics: Conference Series
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language:
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Short-container-title:J. Phys.: Conf. Ser.
Author:
Shimelevich M I,Obornev E A,Obornev I E,Rodionov E A
Abstract
Abstract
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.
Subject
General Physics and Astronomy
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