Application of a Combined Computational Grid in the Problem of Body Inhomogeneity Restoration by Near-Field Measurements

The purpose of this study is to develop an effective noninvasive method for determining the properties of an object. To this end, the inverse diffraction problem is solved using combined or generalized computational grids. In this paper, both the direct and inverse problems are described. The result...

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Bibliographic Details
Published in:Journal of experimental and theoretical physics Vol. 139; no. 1; pp. 29 - 34
Main Authors: Zaytsev, B. A., Medvedik, M. Yu
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.12.2024
Springer
Springer Nature B.V
Subjects:
Accuracy
Algorithms
Classical and Quantum Gravitation
Computational grids
Disease
Elementary Particles
Inhomogeneity
Integral equations
Inverse problems
Methods
Nondestructive testing
Numerical analysis
Numerical methods
Particle and Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theory
Relativity Theory
Solid State Physics
Tomography
Volume integral equations
collocation method
mathematical model
diffraction problem
integral equation
numerical method
ISSN:1063-7761, 1090-6509
Online Access:Get full text
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Summary:The purpose of this study is to develop an effective noninvasive method for determining the properties of an object. To this end, the inverse diffraction problem is solved using combined or generalized computational grids. In this paper, both the direct and inverse problems are described. The result of solving the direct problem follows from the solution of the corresponding volume integral equation. The inverse problem is solved using a two-step method. A numerical method is described in detail. Numerical results have been obtained, and solutions to the problems with noisy and noise-free input data have been compared.
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ISSN:1063-7761
1090-6509
DOI:10.1134/S1063776125600370