• Medientyp: E-Artikel
  • Titel: DEEP LEARNING AND SUCCESSIVE ITERATIONS FOR AN INVERSE PROBLEM OF THE VARIABLE DENSITY RECONSTRUCTION BY THE BOUNDARY CONTROL METHOD
  • Beteiligte: Michael V, Klibanov; Alexandre, Timonov
  • Erschienen: L. N. Gumilyov Eurasian National University, 2022
  • Erschienen in: Eurasian Journal of Mathematical and Computer Applications
  • Sprache: Nicht zu entscheiden
  • DOI: 10.32523/2306-6172-2022-10-3-37-57
  • ISSN: 2306-6172; 2308-9822
  • Schlagwörter: Applied Mathematics ; Computational Mathematics ; Computer Science Applications ; Mathematical Physics ; Modeling and Simulation ; Information Systems
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  • Beschreibung: <jats:p>For the first time, two approaches, the deep learning and successive iterations, are proposed for use and implemented for enhancing the images reconstructed by the boundary control method. The construction of successive iterations is based on the reduction of a nonlinear inverse problem for a time-domain wave equation to a linear integral equation of the first kind. The computational effectiveness of the numerical techniques is demonstrated in the numerical experiments in two and three dimensions.</jats:p>
  • Zugangsstatus: Freier Zugang